CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b)

Odisha State Board Elements of Mathematics Class 12 CHSE Odisha Solutions Chapter 4 Matrices Ex 4(b) Textbook Exercise Questions and Answers.

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Exercise 4(b)

Question 1.
State which of the following matrices are symmetric, skew-symmetric, both or not either:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.1
Solution:
(i) Symmetric
(ii) Neither Symmetric nor skew-symmetric
(iii) Symmetric
(iv) Skew symmetric
(v) Both
(vi) Neither symmetric nor skew-symmetric
(vii) Skew symmetric

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b)

Question 2.
State ‘True’ or ‘False’:
(i) If A and B are symmetric matrices of the same order and AB – BA ≠ 0, then AB is not symmetric.
Solution:
True

(ii) For any square matrix A, AA’ is symmetric.
Solution:
True

(iii) If A is any skew-symmetric matrix, then A2 is also skew-symmetric.
Solution:
False

(iv) If A is symmetric, then A2, A3, …, An are all symmetric.
Solution:
True

(v) If A is symmetric then A – A1 is both symmetric and skew-symmetric.
Solution:
False

(vi) For any square matrix (A – A1)2 is skew-symmetric.
Solution:
True

(vii) A matrix which is not symmetric is skew-symmetric.
Solution:
False

Question 3.
(i) If A and B are symmetric matrices of the same order with AB ≠ BA, final whether AB – BA is symmetric or skew symmetric.
Solution:
A and B are symmetric matrices;
Thus A’ = A and B’ = B
Now (AB – BA)’ = (AB)’ – (BA)’
= B’A’ – A’B’
= BA – AB = – (AB – BA)
∴ AB – BA is skew symmetric.

(ii) If a symmetric/skew-symmetric matrix is expressed as a sum of a symmetric and a skew-symmetric matrix then prove that one of the matrices in the sum must be zero matrix.
Solution:
We know that zero matrix is both symmetric as well as skew-symmetric.
Let A is symmetric.
∴ A = A + O where A is symmetric and O is treated as skew-symmetric. If B is skew-symmetric then we can write B = O + B where O is symmetric and B is skew-symmetric.

Question 4.
A and B are square matrices of the same order, prove that
(i) If A, B and AB are all symmetric, then AB – BA = 0
Solution:
Let A, B and AB are all symmetric.
∴A’ = A, B’ = B and (AB)’ = AB
⇒ B’A’ = AB
⇒ BA = AB
⇒ AB – BA = 0

(ii) If A, B and AB are all skew symmetric then AB + BA = 0
Solution:
Let A, B and AB are all skew symmetric matrices
∴ A’ = -A, B’ = -B and (AB)’ = -AB
Now (AB)’ = -AB
⇒ B’A’ = -AB
⇒ (-B) (-A) = -AB
⇒ BA = -AB
⇒ AB + BA = 0

Question 5.
If A = \(\left[\begin{array}{rrr}
1 & 2 & 0 \\
0 & 1 & 3 \\
-2 & 5 & 3
\end{array}\right]\), then verify that A’ = \(\left[\begin{array}{ccc}
1 & 0 & -2 \\
2 & 1 & 5 \\
0 & 3 & 3
\end{array}\right]\)

(i) A+A’ is symmetric
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.5

(ii) A-A’ is skew-symmetric
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.5(2)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b)

Question 6.
Prove that a unit matrix is its own inverse. Is the converse true?
IfA = \(\left[\begin{array}{rrr}
0 & 1 & -1 \\
4 & -3 & 4 \\
3 & -3 & 4
\end{array}\right]\) show that A2 = I and hence A= A-1.
Solution:
No the converse is not true for example:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.6

Question 7.
Here A is an involuntary matrix, recall the definition given earlier.
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.7

Question 8.
Show that \(\left[\begin{array}{ll}
\mathbf{0} & \mathbf{1} \\
\mathbf{1} & \mathbf{0}
\end{array}\right]\) is its own inverse.
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.8

Question 9.
Express as a sum of a symmetric and a skew symmetric matrix.
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.9
Solutions:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.9(1)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.9(3)
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.9(4)
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.9(5)
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.9(6)
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.9(7)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b)

Question 10.
What is the inverse of
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.10

Question 11.
Find inverse of the following matrices by elementary row/column operation (transformations):
(i) \(\left[\begin{array}{ll}
1 & 2 \\
3 & 5
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.11(1)

(ii) \(\left[\begin{array}{ll}
2 & 5 \\
1 & 3
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.11(2)

(iii) \(\left[\begin{array}{cc}
4 & -2 \\
3 & 1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.11(3)

(iv) \(\left[\begin{array}{ll}
2 & 5 \\
1 & 3
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.11(4)

(v) \(\left[\begin{array}{cc}
1 & 0 \\
2 & -3
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.11(5)

(vi) \(\left[\begin{array}{cc}
1 & 0 \\
0 & -1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.11(6)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b)

Question 12.
Find the inverse of the following matrices using elementary transformation:
(i) \(\left[\begin{array}{lll}
\mathbf{0} & \mathbf{0} & 2 \\
\mathbf{0} & \mathbf{2} & \mathbf{0} \\
\mathbf{2} & \mathbf{0} & \mathbf{0}
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.12(1)

(ii) \(\left[\begin{array}{lll}
0 & 1 & 2 \\
1 & 2 & 3 \\
3 & 1 & 1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.12(2)

(iii) \(\left[\begin{array}{ccc}
3 & -2 & 3 \\
2 & 1 & -1 \\
4 & -3 & 2
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.12(3)

(iv) \(\left[\begin{array}{lll}
1 & 1 & 2 \\
0 & 1 & 2 \\
1 & 2 & 1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.12(4)

(v) \(\left[\begin{array}{lll}
1 & 2 & 3 \\
2 & 1 & 4 \\
1 & 0 & 2
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(b) Q.12(5)

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

Odisha State Board BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child Textbook Exercise Questions and Answers.

BSE Odisha Class 9 English Solutions Non-Detailed Chapter 2 The Lost Child

BSE Odisha 9th Class English Chapter 2 The Lost Child Questions and Answers

Introduction :

The village fair plays an important role in the villages in India. It is meant for amusement and entertainment in the midst of the dull routine life. The villagers visit the fairs along with their family members. But it has special attraction for the children. The rural people buy various articles in the fair. They also remember certain incidents that take place in it. The present story ‘The Lost Child” describes a child’s visit to a fair with his parents. Now read the story and see how a child was lost in the crowded fair and what was the consequence.

Notes :
village fair – ଗ୍ରାମ ମେଳା, important – ଗୁରୁତ୍ୱପୂର୍ଣ୍ଣ, role – ଭୂମିକା, amusement – ମନୋରଞ୍ଜନ, entertainment – ମନୋରଞ୍ଜନ, routine life – ନିତ୍ୟ ଜୀବନ |, articles – ପ୍ରବନ୍ଧଗୁଡିକ, incidents – ଘଟଣା, parents – ପିତାମାତା

ବିଷୟ ସୂଚନା :
ଆମୋଦପ୍ରମୋଦ ଓ ଅବସର ବିନୋଦନ ପାଇଁ ଏହା ଉଦ୍ଦିଷ୍ଟ । ଗ୍ରାମବାସୀମାନେ ସପରିବାରେ ଏହି ମେଳାଗୁଡ଼ିକୁ ବୁଲି ଯାଆନ୍ତି । କିନ୍ତୁ ଛୋଟ ପିଲାଙ୍କ ପାଇଁ ଏହା ଏକ ସ୍ଵତନ୍ତ୍ର ଆକର୍ଷଣ ସୃଷ୍ଟି କରିଥାଏ । ଗ୍ରାମାଞ୍ଚଳର ଲୋକମାନେ ମେଳାରୁ କିଛି ନିତ୍ୟବ୍ୟବହାର୍ଯ୍ୟ ଦ୍ରବ୍ୟ ମଧ୍ଯ କ୍ରୟ କରିଥା’ନ୍ତି । ଏଥୁରେ ଘଟୁଥ‌ିବା ନିର୍ଦ୍ଦିଷ୍ଟ ଘଟଣାଗୁଡ଼ିକୁ ମଧ୍ୟ ସେମାନେ ମନେ ରଖି’ନ୍ତି । ଆଲୋଚ୍ୟ ଗପଟିରେ ଦେଖୁବା ପିଲାଟି କିପରି ଜନଗହଳିପୂର୍ଣ୍ଣ ମେଳାରେ ହଜିଗଲା ଓ ଏହାପରେ ଏହାର ପରିଣତି କ’ଣ ହୋଇଥିଲା ।

Summary: I

Once a little boy was going to a village fair with his parents. It was the festival of spring. A large number of village people were also going to that fair. On his way to the fair the child being fascinated by the beautiful toys lagged behind. His parents called him loudly to walk pace with them. He went to them and expressed his desire to buy the toy. But it was turned down by his tyrant father. His mother diverted his attention cleverly towards a flowering mustard field.

He found a group of dragon flies were moving in search of sweetness from the flowers. He was delighted to see it. Again he was left behind, attracted by the little insects and worms along the footpath. The parents called the child who was behind them. As he came near his parents, who were sitting in the grove, a shower of young flowers fell upon him. He enjoyed the cooing of doves there and forgot his parents. Once again his parents gathered him up and took the curved footpath to the fair.

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

Notes:
festival – ପର୍ବ, spring – ବସନ୍ତ, way – ଉପାୟ, toy – ଖେଳନା, fascinated – ଆକର୍ଷିତ, lagged behind – ପଛରେ,ପଛରେ ପଡିଛି , tyrant – ଅତ୍ୟାଚାରୀ, attention – ଧ୍ୟାନ , cleverly – ଚତୁରତାର ସହିତ, mustard-field – ସୋରିଷ କ୍ଷେତ୍ର , dragon fly – ନାଗ ସାପ grove – ବଗିଚା, shower – ସାୱାର, curved path – ବକ୍ର ପଥ

ସାରାଂଶ :
ଏକଦା ଗୋଟିଏ ଛୋଟ ପିଲା ତା’ର ବାପା-ମାଆଙ୍କ ସହିତ ଗୋଟିଏ ଗ୍ରାମ୍ୟମେଳାକୁ ଯାଉଥିଲା । ଏହା ବସନ୍ତ ଉତ୍ସବ ଥିଲା । ଅନେକ ଗ୍ରାମବାସୀ ମଧ୍ଯ ସେହି ମେଳାକୁ ଯାଉଥିଲେ । ବାଟରେ ପିଲାଟି ଦୋକାନଗୁଡ଼ିକରେ କଣ୍ଢେଇଗୁଡ଼ିକୁ ଦେଖିବାକୁ ପାଇଲା । ସୁନ୍ଦର ସୁନ୍ଦର କଣ୍ଢେଇଗୁଡ଼ିକଦ୍ବାରା ଆକର୍ଷିତ ହୋଇ ସେ ଟିକିଏ ପଛରେ ରହି ଯାଇଥିଲା । ତା’ର ବାପା-ମାଆ ତାଙ୍କ ସହିତ ମିଶି ଚାଲିବାକୁ ପିଲାଟିକୁ ଉଚ୍ଚ ସ୍ବରରେ ଡାକିଲେ । ସେ ସେମାନଙ୍କ ନିକଟକୁ ଯାଇ ନିଜର କଣ୍ଢେଇ କିଣିବାର ଇଚ୍ଛା ବିଷୟରେ କହିଲା । କିନ୍ତୁ ତା’ର ସ୍ବେଚ୍ଛାଚାରୀ ବାପା ଏହାକୁ ପ୍ରତ୍ୟାଖ୍ୟାନ କଲେ । ମାଆ ଚତୁରତାର ସହିତ ପିଲାଟିର ଦୃଷ୍ଟିକୁ ସମ୍ମୁଖରେ ଥ‌ିବା ପୁଷ୍ପଭରା ସୋରିଷ କ୍ଷେତ ଆଡ଼କୁ ନେଇ ଯାଇଥିଲେ ।

ସେ ଦଳେ କଙ୍କି ଫୁଲରୁ ମଧୁ ସଂଗ୍ରହ କରିବାପାଇଁ ଏଣେତେଣେ ବୁଲୁଥିବାର ଦେଖିବାକୁ ପାଇଲା । ସେ ଏହା ଦେଖୁ ଭାରି ଖୁସି ହୋଇଗଲା । ରାସ୍ତା କଡ଼ରେ ଘୂରି ବୁଲୁଥ‌ିବା ନାନା ପ୍ରଜାତିର କୀଟପତଙ୍ଗ ପ୍ରତି ଆକୃଷ୍ଟ ହୋଇ ସେ ପୁଣି ପଛରେ ରହିଗଲା । ବାପା-ମାଆ. ପଛରେ ରହିଯାଇଥିବା ପିଲାଟିକୁ ଡାକ ପକାଇଲେ । ତୋଟାରେ ବସିଥିବା ବାପା-ମାଆଙ୍କ ନିକଟକୁ ଆସିବାବେଳେ ପିଲାଟି ଉପରେ କିଛି ସଦ୍ୟ ଫୁଲ ଝରି ପଡ଼ିଥିଲା । ସେଠାରେ କପୋତଗୁଡ଼ିକର କୁହୁତାନ ଉପଭୋଗ କରି ସେ ବାପା-ମାଆଙ୍କର ଉପସ୍ଥିତି ଭୁଲିଗଲା । ପୁଣିଥରେ ବାପା-ମାଆ ପିଲାଟିକୁ ପାଖକୁ ଆଣିଲେ ଓ ଅଙ୍କାବଙ୍କା ପାଦଚଲା ରାସ୍ତା ଦେଇ ମେଳା ଆଡ଼କୁ ଅଗ୍ରସର ହେଲେ ।

The Text: ପାଠ୍ୟଚିଷୟ
Paragraphwise Analysis
Text- 1

It was the festival of spring. From the wintry shades of narrow lanes and streets appeared a colourfully dressed humanity. Some walked, some rode on horses, others sat, being carried in bamboo and bullock carts. One little boy ran between his father’s legs, brimming over with life and laughter. “Come, child, come” called his parents, as he lagged behind, fascinated by the toys in the shops that lined the way. He hurried towards his parents, his feet obedient to their call.

As he came to where they had stopped to wait for him, he could not suppress the desire of his heart, even though he well knew the old, cold stare of refusal in their eyes. “I want that toy, ” he pleaded. His father looked at him red-eyed, in his familiar tyrant’s way. His mother, melted by the free spirit of the day was tender and, giving him her finger to hold, said, “Look, child, what is before you!” It was flowering mustard-field, pale like melting gold as it swept across miles and miles of even land.

ଏହା ବସନ୍ତକାଳୀନ ପର୍ବ ଥିଲା । ଅଣଓସାରିଆ ଗଳି ରାସ୍ତା ଓ ମୁଖ୍ୟ ରାସ୍ତାଗୁଡ଼ିକର ଶୀତଳ ଛାୟାରୁ ନାନା ରଙ୍ଗର ପୋଷାକ ପରିହିତ ଦଳଦଳ ଲୋକ ଦୃଶ୍ୟମାନ ହେଉଥିଲେ । କେତେକ ଚାଲୁଥିଲେ, କେତେକ ଘୋଡ଼ା ପିଠିରେ ବସିଥିଲେ, ଅନ୍ୟମାନେ ବାଉଁଶ ଅଥବା ବଳଦଗାଡ଼ିରେ ବସିଥିଲେ । ଛୋଟ ପିଲାଟିଏ ତା’ର ମୁହଁରେ ଆଶା ଓ ଆନନ୍ଦର ଜୀବନ୍ତ ହସ ଖେଳାଇ ତା’ ବାପାର ପ୍ରସାରିତ ଗୋଡ଼ ମଧ୍ୟ ଦେଇ ଦୌଡ଼ିଗଲା ।

ଯାଇଥିଲାବେଳେ ବାପାମା’ ତାକୁ ଡାକି କହିଲେ, ‘ଆ, ପୁଅ, ଆ ।’’ ବାପାମା’ଙ୍କର ଡାକକୁ ସମ୍ମାନ ଜଣାଇ ପିଲାଟି ଚଞ୍ଚଳ ଚଞ୍ଚଳ ସେମାନଙ୍କ ଆଡ଼କୁ ପାଦ ବଢ଼ାଇଲା । ବାପାମା’ ତା’ ପାଇଁ ଯେଉଁଠାରେ ଅପେକ୍ଷା କରିଥିଲେ ସେଠାକୁ ପୁଅ ଯେତେବେଳେ ଆସି ପହଞ୍ଚିଲା, ସେ ନିଜର ହୃଦୟର ଇଚ୍ଛାକୁ ନିୟନ୍ତ୍ରଣ କରିପାରିଲା ନାହିଁ, ଯଦିଓ ସେ ବାପାମା’ଙ୍କର ଆଜ୍‌ରେ ପ୍ରତ୍ୟାଖ୍ୟାନର ସେହି ପୁରୁଣା ଓ ନିଷ୍ପ୍ରଭ ଚାହାଣିର ଉତ୍ତର ବିଷୟରେ ସେ ଭଲରୂପେ ଅବଗତ ଥିଲା । ‘‘ମୋର ସେହି ଖେଳଣା ଦରକାର,’’ ପିଲାଟି କାକୁତିମିନତି ହୋଇ କହିଲା ।

ବାପା ନିଜର ଚିରପରିଚିତ କଠୋର ସ୍ଵଭାବରେ ଲାଲ ଆଖରେ ପୁଅ ଆଡ଼କୁ ଚାହିଁଲେ । ମେଳା ଭଳି ଖୋଲା ଓ ଖୁସିର ଦିନରେ ଉଲ୍ଲସିତ ହୋଇ ଉଠିଥ‌ିବା ମା’ ପୁଅ ପ୍ରତି ଟିକେ କୋମଳ ହୋଇ ଓ ପୁଅକୁ ଧରିବାପାଇଁ ନିଜର ହାତ ବଢ଼ାଇଦେଇ କହିଲେ, ‘‘ଦେଖ ପୁଅ, ତୋ’ ଆଗରେ ସେଇଟା କ’ଣ ଅଛି !’’ ଏହା ଥିଲା ଫୁଲ ଫୁଟିଥିବା ଗୋଟିଏ ସୋରିଷ କ୍ଷେତ, ତରଳ ସୁନା ଭଳି ହାଲୁକା ରଙ୍ଗର ଏହି କ୍ଷେତ ସମତଳଭୂମିରେ ମାଇଲ୍ ମାଇଲ୍ ପର୍ଯ୍ୟନ୍ତ ବ୍ୟାପିଥିଲା ।

Text -2
A group of dragon-flies were moving noisily on their bright purple wings in search of sweetness from the flowers. The child followed them in the air with his gaze, till one of them would still its wings and rest, and he would try to catch it. But his mother gave a cautionary call: “Come, child, come, on to the footpath.” He cheerfully ran towards his parents and walked by their side for a while, being, however, soon left behind, attracted by the little insects and worms along the footpath that were coming out of their hiding places to enjoy the sunshine.

“Come, child, come!” his parents called from the shade of a grove where they had seated themselves on the edge of a well. He ran towards them. A shower of young flowers fell upon the child as he entered the grove, and, forgetting his parents, he began to gather the raining petals in his hands. But lot He heard the cooing of doves and ran towards his parents, shouting, “The dove! The dove!” The raining petals dropped from his forgotten hands. “Come, child, come!” they called to the child, who had now gone running in fear round the banyan tree, and gathering him up they took the narrow, curved footpath which led to the fair through the mustard fields.

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

ଅନୁବାଦ :
ଫୁଲଗୁଡ଼ିକରୁ ମିଠା ରସ ସଂଗ୍ରହ ଉଦ୍ଦେଶ୍ୟରେ ଦଳେ କଙ୍କି ସେମାନଙ୍କର ଉଜ୍ଜ୍ଵଳ ନୀଳ ଲୋହିତ ରଙ୍ଗର ଡେଣାସବୁକୁ ଝାଡ଼ି ଡେଣାଗୁଡ଼ିକୁ ସ୍ଥିର କରି ବସି ପଡ଼ିଲା, ପିଲାଟି ତାକୁ ଧରିବାକୁ ଚେଷ୍ଟା କଲା । କିନ୍ତୁ ତାହାର ମା’ ତାକୁ ସତର୍କ କରାଇବା ସ୍ବରରେ ଡାକ ଛାଡ଼ିଲେ, ‘‘ଆ ପୁଅ, ପାଦଚଲା ରାସ୍ତା ଉପରକୁ ଉଠି ଆ !’’ ପିଲାଟି ଖୁସିରେ ବାପାମା’ଙ୍କ ଆଡ଼କୁ ଦୌଡ଼ିଲା ଓ କିଛି ମୁହୂର୍ତ୍ତ ସେମାନଙ୍କ ପାଖଦେଇ ଚାଲିଲା । କିନ୍ତୁ ସୂର୍ଯ୍ୟକିରଣକୁ ଉପଭୋଗ କରିବାକୁ ନିଜ ନିଜ ଲୁଚିବା ଜାଗାମାନଙ୍କରୁ ବାହାରି ଆସୁଥ‌ିବା ଛୋଟ ଛୋଟ କୀଟ ଓ ପୋକଗୁଡ଼ିକୁ ରାସ୍ତା ଉପରେ ଦେଖୁ ମୁଗ୍‌ଧ ହୋଇ ପିଲାଟି ଖୁବ୍ ଶୀଘ୍ର ପଛରେ ରହିଗଲା।

‘‘ଆ, ପୁଅ, ଆ !’’ ଏକ ତୋଟାର ଛାଇତଳେ ଗୋଟିଏ କୂଅର ଧାର ଉପରେ ବସିଥିବା ବାପାମା’ ଡାକ ଛାଡ଼ିଲେ । ପିଲାଟି ସେମାନଙ୍କ ପାଖକୁ ଦୌଡ଼ିଲା । ପିଲାଟି ତୋଟା ଭିତରକୁ ପଶୁଥିବାବେଳେ କେତେଗୁଡ଼ିଏ ଛୋଟ ଫୁଲ ତା’ ଉପରେ ବିଞ୍ଚ୍ ହୋଇଗଲା ଓ ପିଲାଟି ନିଜର ବାପାମା’ଙ୍କୁ ଭୁଲିଯାଇ, ଗଦା ହୋଇ ପଡ଼ୁଥ‌ିବା ପାଖୁଡ଼ାଗୁଡ଼ିକୁ ହାତରେ ସଂଗ୍ରହ କରିବାକୁ ଲାଗିଲା । କିନ୍ତୁ ହେଲେ କି ଚମତ୍କାର ! ସେ ଏତିକିବେଳେ କପୋତମାନଙ୍କର ରାବ ଶୁଣିଲା ଓ ‘କପୋତ ! କପୋତ ?’’ ଚିତ୍କାର ଛାଡ଼ି ବାପାମା’ଙ୍କ ପାଖକୁ ଦୌଡ଼ିଗଲା । ଅଜାଣତରେ ବିଚରାର ହାତରୁ ପାଖୁଡ଼ାଗୁଡ଼ିକ ତଳେ ପଡ଼ିଗଲା ।

‘‘ଆ, ପୁଅ, ଆ !’’ ସେମାନେ (ବାପାମା’) ପିଲାକୁ ପୁଣି ଡାକିଲେ । ହେଲେ ପିଲାଟି ସେତେବେଳକୁ ବରଗଛର ପଛପାଖକୁ ଭୟରେ ଦୌଡ଼ି ପଳାଇଥୁଲା ଓ ତାକୁ ସେଠାରୁ ଧରି ସେମାନେ (ବାପାମା’) ଅଣଚଉଡ଼ା, ବଙ୍କା ପାଦଚଲା ରାସ୍ତା ଉପର ଦେଇ ଚାଲିଲେ ଯେଉଁ ରାସ୍ତାଟି ସୋରିଷ କ୍ଷେତଗୁଡ଼ିକ ଦେଇ ମେଳା ବା ପଡ଼ିଆ ଆଡ଼କୁ ପଡ଼ିଥିଲା ।

Notes And Glossary: (ଟିପ୍ପଣୀ ଏବଂ ଗ୍ଲୋସାରୀ)

wintry – ଶୀତଳ
shade – ଛାଇ
appeared – ଦେଖାଗଲା
humanity – ମାନବିକତା
brimming – to be full of something – କିଛି ପରିପୂର୍ଣ୍ଣ ହେବା
lag behind – to move more slowly than other people – ଅନ୍ୟ ଲୋକଙ୍କ ଅପେକ୍ଷା ଧୀରେ ଧୀରେ ଗତି କରିବାକୁ
fascinated – very interested – ବହୁତ ଆଗ୍ରହୀ
hurried – past tense of hurry – ଅତୀତର ଶୀଘ୍ର
obedient – ଆଜ୍ଞାକାରୀ
suppress – to prevent from expressing feeling or emotion – ଭାବନା କିମ୍ବା ଭାବନା ପ୍ରକାଶ କରିବାକୁ ରୋକିବା ପାଇଁ
desire – ଇଚ୍ଛା
stare – act of looking at – ଦେଖିବାର କାର୍ଯ୍ୟ
refusal – ପ୍ରତ୍ୟାଖ୍ୟାନ
plead – to ask for something in a strong and serious way – ଦୃଢ଼ ଓ ଗମ୍ଭୀର ଭାବରେ କିଛି ମାଗିବା
tyrant – who has complete power in a country and uses it in a cruel and unfair way – ଅତ୍ୟାଚାରୀ
melted – ଦ୍ରବୀଭୂତ
spirit – ଆତ୍ମା
tender – କୋମଳ
mustard – field – କ୍ଷେତ୍ର
pale – ଫିକା
swept – ଧୋଇଗଲା
dragon – flies – ଡ୍ରାଗନ୍
noisily – କୋଳାହଳ
cautionary – giving advice or warning – ପରାମର୍ଶ କିମ୍ବା ଚେତାବନୀ ଦେବା
grove – group of trees – ବୃକ୍ଷର ଗୋଷ୍ଠୀ
shower – ସାୱାର
petal – the delicate (light and pleasant) coloured part of a flower – ଫୁଲର ସୂକ୍ଷ୍ମ (ହାଲୁକା ଏବଂ ମନୋରମ) ରଙ୍ଗୀନ ଅଂଶ
cooing – soft low sound of doves/pegions – କପୋତ / ପେଗିଅନର କୋମଳ ନିମ୍ନ ଧ୍ୱନି
dove – କପୋତ
curved – ବକ୍ର

Now Answer The Following Questions
(ବର୍ତ୍ତମାନ ନିମ୍ନଲିଖୂତ ପ୍ରଶ୍ନଗୁଡ଼ିକର ଉତ୍ତର ଲେଖ)

Question 1.
Find out the persons described in the story. Where are they going?
(ଗଳ୍ପଟିରେ ବର୍ଣ୍ଣିତ ବ୍ୟକ୍ତିମାନଙ୍କୁ ଦର୍ଶାଅ । ସେମାନେ କୁଆଡ଼େ ଯାଉଛନ୍ତି ?)
Answer:
The persons, described in the story, were almost village people. Some were walking, some were riding on horses and others were sitting in bamboo and bullock carts. They were going to a village fair.

Question 2.
Why did the child lag behind?
(ପିଲାଟି କାହିଁକି ପଛରେ ପଡ଼ିଗଲା ?)
Answer:
The child was attracted by the beautiful toys displayed in the shops that lined the way. So he lagged behind.

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

Question 3.
What things did the child see on his way to the fair? What attracted him most?
(ମେଳାକୁ ଯିବା ବାଟରେ ପିଲାଟି କେଉଁ କେଉଁ ଜିନିଷମାନ ଦେଖୁଲା ? କେଉଁ ଜିନିଷଟି ତାକୁ ଅତ୍ୟଧ୍ୱକ ଆକର୍ଷିତ କରିଥିଲା ?)
Answer:
On his way to the fair he saw toys displayed in the shops that lined the way, the flowering mustard-field, the dragon-flies and a beautiful grove. The sight of the beautiful grove with the cooing of the doves attracted him most.

Question 4.
Did the child gather anything on the way? What was it? What happened to it?
(ପିଲାଟି ବାଟରେ କିଛି ଜିନିଷ ସଂଗ୍ରହ କଲା କି ? ଏହା କ’ଣ ଥିଲା ? ଏହାର କ’ଣ ହେଲା ?)
Answer:
As the child entered the grove, some flowers fell upon him. He gathered the showering petals in his hands. He heard the cooing of the doves and ran towards his parents. In the mean time, the petals dropped from his forgotten hands.

Question 5.
What were his father and mother like?
(ତା’ର ବାପା ଓ ମାଆ କିପରି ଲୋକ ଥିଲେ ?)
Answer:
His father was very strict and tyrant. But his mother was kind and loving.

Question 6.
“Come, child, come” who said this? How many times and why?
(‘‘ଆସ, ପୁଅ, ଆସ’’ – ଏକଥା କିଏ କହିଲା ? କେତେ ଥର ଓ କାହିଁକି ?)
Answer:
“Come, child come”- the child’s parents said this. They said this four times in order to gather him up.

Question 7.
What do you think the next part of the story will be about?
(ଗଳ୍ପଟିର ପରବର୍ତ୍ତୀ ଅଂଶ କ’ଣ ହୋଇଥବ ବୋଲି ତୁମେ ଭାବୁଛ ?)
Answer:
I think the next part of the story will be about the child’s visit to different stalls in the fair.

Summary: II
The child with his parents arrived the village square and saw a sweetmeat seller selling various kinds of sweets like gulab-jamun, rasagulla, burfi etc. He murmured to have his favourite sweet, burfi. But he knew well about the negative answer of his parents. So he moved on. Then he came across a flower-seller who was selling garlands of gulmohur. He expressed his desire to have the garland in a very low voice.

But he knew it well that his parents would refuse to buy it. So, without waiting for an answer, he moved on. As the child moved on, he saw a man selling balloons of different colours. He wanted to have it. But he didn’t ask for it as he knew the attitude of his parents. So he walked ahead. Just then he heard a snake-charmer playing a flute to a snake. He went towards the snake-charmer. But, thinking of his parents he proceeded a head. He wanted to go on the round about.

Notes:
arrived- ପହଞ୍ଚିଲା , square- ବର୍ଗ, sweetmeat seller- ମିଠା ବିକ୍ରେତା, murmured- ଅଭିଯୋଗ କଲେ, favourite- ପ୍ରିୟ, garland- ଫୁଲମାଳ, attitude- ମନୋଭାବ, snake-charmer- ସାପ-ଚମତ୍କାର, flute- ବଂଶୀ, roundabout- ଗୋଲାକାର

ସାରାଂଶ :
ପିଲାଟି ତା’ର ବାପା-ମାଆଙ୍କ ସହିତ ଗାଆଁ ଛକରେ ପହଞ୍ଚିଲା ଓ ଜଣେ ମିଠାବିକାଳି ଗୁଲାବଜାମୁ, ରସଗୋଲା, ଇତ୍ୟାଦି ନାନା ରକମର ମିଠା ବିକ୍ରି କରୁଥିବାର ଦେଖିଲା । ସେ ତା’ର ପ୍ରିୟ ମିଠା ବର୍ଫି ଖାଇବାକୁ ଗୁଣୁଗୁଣୁ ହୋଇ କହୁଥିଲା । ମାତ୍ର ସେ ତା’ର ବାପାଙ୍କ ନାସ୍ତିସୂଚକ ଉତ୍ତର ବିଷୟରେ ଭଲଭାବରେ ଜାଣିଥିଲା । ତେଣୁ ସେ ଆଗକୁ ଚାଲିଲା । ତା’ପରେ ସେ କୃଷ୍ଣଚୂଡ଼ା ଫୁଲହାର ବିକୁଥ‌ିବା ଜଣେ ଫୁଲ ବିକାଳିଙ୍କୁ ଦେଖିଲା । ଫୁଲମାଳଟିଏ କିଣିବାର ଇଚ୍ଛାକୁ ସେ ଅତି ନିମ୍ନ ସ୍ବରରେ ପ୍ରକାଶ କଲା । କିନ୍ତୁ ବାପାମା’ ଏହା କିଣିବାକୁ ମନା କରିବେ ବୋଲି ସେ ଭଲ ଭାବରେ ଜାଣିଥିଲା । ତେଣୁ ଉତ୍ତରକୁ ଅପେକ୍ଷା ନ କରି ଆଗକୁ ଚାଲିଲା ।

ପିଲାଟି ଟିକିଏ ଆଗକୁ ଯାଇ ଦେଖୁଲା ଗୋଟିଏ ଲୋକ ରଙ୍ଗବେରଙ୍ଗର ବେଲୁନ୍ ବିକ୍ରି କରୁଛି । ସେ ଏହାକୁ ପାଇବାକୁ ଇଚ୍ଛା କରୁଥିଲା । ମାତ୍ର ସେ ଏହାକୁ ମାଗିଲା ନାହିଁ କାରଣ ସେ ତା’ର ବାପାମାଆଙ୍କ ମନୋଭାବ ଭଲ ଭାବରେ ଜାଣିଥିଲା । ତେଣୁ ସେ ଆଗକୁ ଅଗ୍ରସର ହେଲା । ଠିକ୍ ସେହି ସମୟରେ ଗୋଟିଏ ସାପୁଆ କେଳା ସାପ ନିକଟରେ ବଂଶୀବାଦନ କରୁଥିବାର ଶୁଣିଲା । ସେ ସାପୁଆ କେଳା ଆଡ଼କୁ ଅଗ୍ରସର ହେଲା । ମାତ୍ର ବାପା-ମାଆଙ୍କ ନାସ୍ତିସୂଚକ ମନୋଭାବ କଥା ଚିନ୍ତାକରି ଆଗକୁ ଚାଲିଲା । ସେ ଚକ୍ରଦୋଳିରେ ବସିବାକୁ ଇଚ୍ଛା କରୁଥିଲା । ପୁରୁଷ, ମହିଳା ଓ ପିଲାମାନେ ଚକ୍ରାକାରରେ ବୁଲି ଆନନ୍ଦରେ ଚିତ୍କାର କରୁଥା’ନ୍ତି ।

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

The Text: ପାଠ୍ୟଚିଷୟ
Paragraphwise Analysis
Text- 1

He went towards the basket where the flowers lay heaped. As they neared the village, the child could see footpaths full of people. He felt at both repelled and fascinated by the confusion of the world he was entering. A sweetmeat seller hawked, “gulab-jaman, rasagulla, burfi, jalebi, ” at the comer of the entrance. The child stared open eyed and his mouth watered for the burfi that was his favourite Sweet. “I want that burfi, ” he slowly murmured.

But he half knew, as he begged, that his plea would not be heeded because his parents would say he was greedy. So, without waiting for an answer he moved on. A flower-seller hawked, “A garland of gulmohur, a garland of gulmohur!” The child murmured. “I want the garland. ” But he well knew his parents would refuse to buy him those flowers because they would say that they were cheap. So, without waiting for an answer, he moved on.

ଅନୁବାଦ :
ପିଲାଟି ପାଦଚଲା ରାସ୍ତାରେ ଲୋକଙ୍କ ଭିଡ଼ ଦେଖୁଲା । ନୂଆ ଏକ ଦୁନିଆ ଭିତରେ ପ୍ରବେଶ କରୁଥିବାର ଦ୍ବନ୍ଦ୍ବରେ ସେ ଉଭୟ ଆତଙ୍କିତ ଓ ଆକର୍ଷିତ ହେଉଥାଏ । ଜଣେ ମିଠାବିକାଳି ପ୍ରବେଶ ପଥର କୋଣରେ ଡାକ ଛାଡ଼ୁଥାଏ, ‘ଗୁଲାବଜାମୁ, ରସଗୋଲା, ବର୍‌ଫି, ଜଲେବି ।’’ ପିଲାଟି ଆଖ୍ ବଡ଼ବଡ଼ କରି ଚାହିଁଲା ଓ ତା’ର ସବୁଠାରୁ ପ୍ରିୟ ମିଠାଇ ବର୍‌ଫି ପାଇଁ ତା’ ପାଟିରୁ ଲାଳ ବୋହିଲା ।’’ ଗୁଣୁଗୁଣୁ ହୋଇ ସେ କହି ପକାଇଲା, ‘‘ମୋର ବର୍‌ଫି ଦରକାର ।’’

କିନ୍ତୁ କାକୁତିମିନତି ହୋଇ ବର୍ଫି ଚାହୁଁଥିବା ପିଲାଟି ଭଲଭାବରେ ଜାଣିଥୁଲା ଯେ ତାହାର ଅନୁରୋଧକୁ ତା’ର ବାପାମା’ ଗୁରୁତ୍ଵ ଦେବେ ନାହିଁ, ବରଂ ସେ ଲୋଭୀ ବୋଲି କହିବେ । ତେଣୁ ସେ ଉତ୍ତରକୁ ଅପେକ୍ଷା ନ କରି ଆଗକୁ ଚାଲିଲା । ଜଣେ ଫୁଲବିକାଳି ଡାକୁଥାଏ, ‘କୃଷ୍ଣଚୂଡ଼ା ହାର, କୃଷ୍ଣଚୂଡ଼ା ହାର !’’ ପିଲାଟି ପୂର୍ବଭଳି ଗୁଣୁଗୁଣୁ ହୋଇ କହିଲା, ‘ମୋର ସେହି ହାରଟି ଦରକାର ।’’ କିନ୍ତୁ ସେ ଭଲ ଭାବରେ ଜାଣିଥିଲା ଯେ ତା’ର ବାପାମା’ ତା’ ପାଇଁ ଫୁଲ କିଣିବାକୁ ବାରଣ କରିବେ, ବରଂ ସେମାନେ କହିବେ ଫୁଲଗୁଡ଼ିକ ନିକୃଷ୍ଟମାନର । ତେଣୁ ସେମାନଙ୍କ ଉତ୍ତରକୁ ଅପେକ୍ଷା ନ କରି ସେ ଆଗେଇ ଚାଲିଲା ।

Text- 2
A man stood holding a pole with yellow, red, green and purple balloons flying from it. Seeing the colourful pole, the child desired to possess them all. But he well knew his parents would never buy him the balloons, because they would say he was too old to play with such toys. So he walked on farther.

A snake-charmer stood playing a flute to a snake which coiled itself in a basket, its head raised in a graceful bend like the neck ofa swan, while the music stole into its invisible ears. The child went towards the snake-charmer. But, knowing his parents hadforbidden him to hear such coarse music as the snake-charmer played, he proceededfarther. There was a roundabout infull swing. Men, women and children, carried away in a whirling motion, shrieked and cried with dizzy laughter.

ଅନୁବାଦ :
ଉଡୁଥ‌ିବା ହଳଦିଆ, ନାଲି, ସବୁଜ, ନୀଳ-ଲୋହିତ ରଙ୍ଗର ବେଲୁନ୍‌ଗୁଡ଼ିକୁ ଗୋଟିଏ ବାଉଁଶରେ ଧରି ଗୋଟିଏ ବେଲୁନ୍‌ଲା ଠିଆ ହୋଇଥିଲା । ରଙ୍ଗୀନ୍ ଖୁଣ୍ଟକୁ ଦେଖ୍, ପିଲାଟି ସେସବୁକୁ ପାଇବାକୁ ଇଚ୍ଛା ପ୍ରକାଶ କଲା । କିନ୍ତୁ ସେ ଭଲ ଭାବରେ ଜାଣିଥିଲା ତା’ର ବାପାମା’ ତାକୁ କେବେ ବି ବେଲୁନ୍ କିଣି ଦେବେ ନାହିଁ, ବରଂ ସେମାନେ କହିବେ ଏଭଳି ବେଲୁନ୍ ଖେଳିବାପାଇଁ ପୁଅର ବୟସ ଯଥେଷ୍ଟ ବଢ଼ିଗଲାଣି । ତେଣୁ ସେ ଆଗକୁ ମାଡ଼ି ଚାଲିଲା । ସାପୁଆ କେଳାଟିଏ ସାପ ନିକଟରେ ଠିଆ ହୋଇ ବଂଶୀଟିଏ ବଜାଉଥୁଲା, ସାପଟି ଗୁଡ଼େଇ ହୋଇ ଝୁଡ଼ି ଭିତରେ ପଡ଼ିଥିଲା ।

ଏହାର ମୁଣ୍ଡ ଗୋଟିଏ ହଂସର କମନୀୟ ବକ୍ର ବେକ ଭଳି ସୁନ୍ଦର ଭାବରେ ଉପରକୁ ଉଠିଲା, ଯେତେବେଳେ ବଂଶୀର ସୁଲଳିତ ସଙ୍ଗୀତ ତାହାର କାନର ଅଦୃଶ୍ୟ ଗହ୍ଵର ଭିତରେ ଗୁଞ୍ଜରଣ ସୃଷ୍ଟି କଲା, ପିଲାଟି ସାପୁଆକେଳା ଆଡ଼କୁ ଚାଲିଲା । କିନ୍ତୁ ତା’ର ବାପାମା’ ସାପୁଆକେଳା ବଜାଉଥ‌ିବା କର୍କଶ ସଙ୍ଗୀତ ଶୁଣିବାକୁ ତାକୁ ବାରଣ କରିବେ ଜାଣି ସେ ପୁଣି ଆଗକୁ ଚାଲିଲା । ଆଗରେ ଗୋଟିଏ ଗୋଲାକାର ଦୋଳି ଫୁଲ୍ ଦମ୍ରେ ବୁଲୁଥିଲା । ଘୂର୍ଣାୟମାନ ଅବସ୍ଥାରେ ଚିତ୍କାରପୂର୍ଣ୍ଣ ହସ ଓ ଭୟଜନିତ ଚିତ୍କାର ସହିତ ପୁରୁଷ, ମହିଳା ଓ ପିଲାମାନେ ଘୂରି ବୁଲୁଥିଲେ ।

Notes And Glossary : (ଟିପ୍‌ପଣୀ ଓ କଠିନ ଶବ୍ଦାର୍ଥ)

lay – ଶଯ୍ୟା
heap – to put a lot of something in a pile on something – କିଛି ଉପରେ ଏକ ଗଦା ଭିତରେ ବହୁତ କିଛି ରଖିବା
repel – to make somebody feel horror or disgust – କାହାକୁ ଭୟ କିମ୍ବା ଘୃଣା ଅନୁଭବ କରିବା
fascinated – ଆକର୍ଷିତ
confusion – ଦ୍ୱନ୍ଦ୍ୱ
sweetmeat – a sweet/candy, any food preserved in sugar – ମିଠା ମିଠା
hawk – to try to sell things by going from place to place asking – ବାଘ
people to buy them – ଲୋକମାନେ ସେମାନଙ୍କୁ କିଣିବାକୁ
entrance – ପ୍ରବେଶ
burfi – a kind of sweet – ଏକ ପ୍ରକାର ମିଠା
mouth watered – ପାଟି ଜଳସେଚିତ
murmur – to say something in a soft-quiet voice that is difficult to hear and understand – ଅଭିଯୋଗ
half – ଅଧା
favourite – ପ୍ରିୟ
plea – an urgent emotional request for something – ନିବେଦନ
heed – to pay careful attention to somebody’s advice or warning – ଧ୍ୟାନ ଦିଅ
greedy – ଲୋଭୀ
gulmohur – ଗୁଲମୋହର
cheap – ଶସ୍ତା
pole – ପୋଲ
purple – ବାଇଗଣୀ
possess – ଅଧିକାର
farther – ଅଧିକ
snake – charmer – ସାପ
coil – କୋଇଲ୍
graceful – ଅନୁଗୁଳ
invisible – ଅଦୃଶ୍ୟ
forbidden – ନିଷେଧ
coarse – କଠିନ
proceeded – ଅଗ୍ରଗତି କଲା
roundabout – ଗୋଲାକାର
whirling – ଘୂର୍ଣ୍ଣିବାତ୍ୟା
motion – ଗତି
shriek – to give a loud high shout (when excited, frightened or in pain) – ଉଚ୍ଚ ସ୍ୱରରେ
dizzy – feeling as if everything is spinning around – ମୁଣ୍ଡ ବୁଲାଇବା
whirlpool – a swimming pool in which – ଯେଉଁଥିରେ ଏକ ସୁଇମିଂ ପୁଲ୍
water moves in circles – ବୃତ୍ତରେ ଜଳ ଗତି କରେ
laughter – ହସ

Now Answer The Following Questions
(ବର୍ତ୍ତମାନ ନିମ୍ନଲିଖୂତ ପ୍ରଶ୍ନଗୁଡ଼ିକର ଉତ୍ତର ଲେଖ)

Question 1.
Who did the child see at the fair?
(ପିଲାଟି ମେଳାରେ କାହାକୁ ଦେଖୁଲା ?)
Answer:
The child saw a sweetmeat seller, a flower seller, a balloon seller, a snake-charmer and a roundabout at the fair.

Question 2.
Did the child want to buy anything in the fair? What are they? Why did he move on without waiting for his father’s reply?
(ପିଲାଟି ମେଳାରେ କିଛି କିଣିବାକୁ ଚାହିଁଲା କି ? ସେଗୁଡ଼ିକ କ’ଣ ? ସେ କାହିଁକି ତା’ର ବାପାଙ୍କର ଉତ୍ତରକୁ ଅପେକ୍ଷା ନ କରି ଆଗକୁ ଚାଲିଲା ?)
Answer:
The child wanted to buy burfi, a garland and balloons in the fair. But he didn’t ask his father about them, rather he murmered. He moved on without waiting for his father’s reply, because he knew it well that his father would turn it down stating some plea or other.

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

Question 3.
Did his parents buy him anything? Why?
(ତା’ର ବାପାମାଆ ତାକୁ କିଛି କିଣିଦେଲେ କି ? କାହିଁକି ?)
Answer:
His parents didn’t buy him anything. Perhaps they were poor and did not pay heed to the boy’s request.

Question 4.
Did he like the music played by the snake-charmer? How do you know this?
(ସାପୁଆ କେଳା ବଜାଉଥ‌ିବା ବାଦ୍ୟକୁ ସେ ପସନ୍ଦ କଲା କି ? ତୁମେ ଏହା କିପରି ଜାଣୁଛ ?)
Answer:
The child liked the music played by the snake-charmer. As he was fascinated by the music he went towards the snake-charmer at the fair.

Question 5.
What was it that attracted the child most?
(ପିଲାଟିକୁ ଅତ୍ୟଧ୍ୱ ଆକର୍ଷିତ କରିଥିବା ଜିନିଷଟି କ’ଣ ଥିଲା ?)
Answer:
Gulab-jaman, rasagulla, burfi and jalebi displayed at the sweetmeat shop attracted the child most. But he wanted to eat the burfi which was his favourite sweet.

Question 6.
The child made a bold request to his parents to go on the round-about. Will the parents allow him?
(ଦୋଳିରେ ବସିବାକୁ ପିଲାଟି ତା’ର ବାପାମାଆଙ୍କୁ ଏକ ଦୃଢ଼ ଅନୁରୋଧ କଲା । ତା’ର ବାପାମାଆ ତାକୁ ଅନୁମତି ଦେବେ କି ?)
Answer:
No, the child did not get any reply as his parents were not there when he made a bold request to go on the round-about.

Summary: III

The child made a bold request to his parents to go on the roundabout. But there was no reply. He turned to look on either side but couldn’t find them in the crowd. He cried bitterly out of fear. He ran here and there in the crowd to find his parents. At last he ran to a temple which was overcrowded. The poor child struggled to find a way in the crowd but failed. He raised his voice with the highest pitch to find out his parents. Fortunately, a man in the crowd heard his cry and lifted him up in his arms.

Notes :
reply- ଉତ୍ତର, bitterly- ତିକ୍ତ ଭାବରେ, struggled- ସଂଘର୍ଷ କଲା, failed- ବିଫଳ ହେଲା, pitch- ପିଚ୍, fortunately- ସୌଭାଗ୍ୟବଶତଃ, lifted- ଉତ୍ତୋଳିତ

ସାରାଂଶ :
ପିଲାଟି ଚକ୍ରଦୋଳିରେ ବସିବାପାଇଁ ବାପା-ମାଆଙ୍କୁ ଦୃଢ଼ ଅନୁରୋଧ କଲା । କିନ୍ତୁ ଏହାର କୌଣସି ଉତ୍ତର ମିଳିଲା ନାହିଁ । ପିଲାଟି ବହୁତ ସଂଗ୍ରାମ କରୁଥିଲା; କିନ୍ତୁ ପାରିଲା ନାହିଁ । ନିଜର ବାପା-ମାଆଙ୍କୁ ଖୋଜି ବାହାର କରିବାକୁ ଖୁବ୍ ଜୋର୍‌ରେ ବଡ଼ ପାଟିରେ ଡାକ ପକାଇଲା । ସୌଭାଗ୍ୟବଶତଃ ଜନଗହଳି ମଧ୍ୟରେ ଜଣେ ଲୋକ ତା’ର କ୍ରନ୍ଦନ ଶୁଣି ତାକୁ ହାତରେ ଟେକି ଆଣିଲା ।

The Text: ପାଠ୍ୟଚିଷୟ
Paragraphwise Analysis
Text- 1

The child watched them intently and then he made a bold request: “I want to go on the roundabout, please, Father, Mother. ” There was no reply. He turned to look at his parents. They were not there ahead of him. He turned to look on either side. They were not there. He looked behind. There was no sign of them. A full, deep cry rose within his dry throat and with a sudden jerk of his body he ran from where he stood, crying in real fear, “Mother, Father. “- Tears rolled down from his eyes. Out of fear he ran to one side first, then to the other, hither and thither in all directions, knowing not where to go. “Mother, Father, ” he cried. His yellow turban came untied and his clothes became muddy.

ଅନୁବାଦ :
ପିଲାଟି ସେମାନଙ୍କୁ (ଦୋଳିରେ ବୁଲୁଥିବା ଲୋକମାନଙ୍କୁ) ଏକ ଲୟରେ ଦେଖୁଲା ଓ ତା’ପରେ ସେ ଦୃଢ଼ ଅନୁରୋଧ କରି କହିଲା, ‘ମୁଁ ଦୋଳିରେ ବୁଲିବାକୁ ଚାହୁଁଛି, ବାପା, ବୋଉ, ମୋତେ ବୁଲିବାକୁ ଦିଅନା !’’
କୌଣସି ଉତ୍ତର ମିଳିଲା ନାହିଁ । ସେ ବାପାମା’ଙ୍କୁ ଦେଖିବାକୁ ବୁଲିପଡ଼ିଲା । ତା’ ଆଗରେ ବାପାମା’ ନ ଥିଲେ । ଦୁଇପଟକୁ ଦେଖୁବାକୁ ସେ ବୁଲିପଡ଼ିଲା । ସେଠାରେ ବି ସେମାନେ ନ ଥିଲେ । ସେ ପଛକୁ ଫେରି ଚାହିଁଲା । ସେଠାରେ ମଧ୍ୟ ସେମାନଙ୍କର କୌଣସି ଚିହ୍ନବର୍ଣ୍ଣ ନ ଥିଲା । ବୋଲି ଚିତ୍କାର କରି କାନ୍ଦି କାନ୍ଦି ଠିଆ ହୋଇଥିବା ସ୍ଥାନରୁ ଦୌଡ଼ିବାକୁ ଲାଗିଲା । ତା’ ଆଖୁ ଧାର ଧାର ଲୁହ ବୋହି ଆସିଲା । ସେ କେଉଁଠାକୁ ଯିବ ଜାଣି ନ ପାରି ଭୟରେ ପ୍ରଥମେ ଏପାଖ, ତା’ପରେ ସେପାଖ, ଏଣେ, ତେଣେ, ସବୁଆଡ଼େ ଦୌଡ଼ିବାକୁ ଲାଗିଲା ।

Text- 2
Having run to and fro for a while, he stood helpless, his cries changed into sobs. At little distances on the green grass he could see, through his filmy eyes, men and women talking. He tried to look intently, but there was no sign of his father and mother among these people. He ran quickly again, this time to a temple to which people seemed to be crowding. Every little inch of space here was congested with men, but he ran through people’s legs, his little sob lingering: “Mother, Father!” Near the entrance to the temple, however, the crowd became very thick: men jostled with each other. The poor child struggled to find a way between their feet, but finally failed and raised his voice with the highest pitch “Father, Mother!” A man in the rushing crowd heard his cry and, stooping with great difficulty, lifted him up in his arms.

ଅନୁବାଦ :
କିଛିକ୍ଷଣ ଏଣେତେଣେ ଦୌଡ଼ିବା ପରେ ପିଲାଟି ଅସହାୟ ଅବସ୍ଥାରେ ଠିଆ ହୋଇ ରହିଲା । ତା’ର କ୍ରନ୍ଦନ ଚିତ୍କାର ଏବେ ବିଷାଦମୟ ମୁଁ ମୁଁ କାନ୍ଦରେ ବଦଳି ଯାଇଥିଲା । ସବୁଜ ଘାସ ଉପରେ କିଛି ଦୂରରେ ଠିଆ ହୋଇ ନିଜର ଲୁହଭିଜା ଜାଲଜାଲୁଆ ପିଲାଟି ପୁଣି ଜୋର୍‌ରେ ଦୌଡ଼ିଲା, ଏଥର ଗୋଟିଏ ମନ୍ଦିର ଆଡ଼କୁ ଗଲା ଯେଉଁଠାରେ ଲୋକମାନେ ରୁଣ୍ଡ ହୋଇ ଗହଳି ଲୋକମାନଙ୍କର ଗୋଡ଼ ଭିତର ଦେଇ କାନ୍ଦର ରାହାକୁ ଲମ୍ବାଇ ‘‘ମାଆ …., ବାପା…..”’ ଡାକି ଦୌଡ଼ି ଚାଲିଲା । ମନ୍ଦିରର ପ୍ରବେଶଦ୍ଵାର ଭିତର ଦେଇ ବାହାରିଯିବାକୁ କଷ୍ଟେମଷ୍ଟେ ଗୋଟିଏ ବାଟ ଖୋଜିଲା, କିନ୍ତୁ ନିଷ୍ଫଳ ହେଲା ଓ ଗଳା ଫଟାଇ କରୁଣ ଚିତ୍କାର କଲା, “‘ବାପା …., ମାଆ ….. ।’’ ମନ୍ଦିର ଭିତରକୁ ଧସେଇ ପଶୁଥ‌ିବା ଜନସ୍ରୋତ ମଧ୍ୟରୁ ଜଣେ ବ୍ୟକ୍ତି ତାହାର କାନ୍ଦ ଶୁଣିପାରିଲା ଓ ବହୁତ କଷ୍ଟରେ ନଇଁପଡ଼ି, ନିଜ ବାହୁରେ ତାକୁ ଉଠାଇଲା ।

Notes And Glossary : (ଟିପ୍‌ପଣୀ ଓ କଠିନ ଶବ୍ଦାର୍ଥ)

intently – with strong interest and attention – ଧ୍ୟାନରେ
bold – ବୋଲ୍ଡ
turned – ବୁଲିଗଲା
ahead – ଆଗକୁ
jerk – ଜର୍କ
hither and thither – in many different directions – ଅନେକ ଭିନ୍ନ ଦିଗରେ
turban – ପଗଡି
untied – ଖୋଲା
muddy – କାଦୁଅ
to and fro – ଆଗକୁ ଆଉ ଆଗକୁ
sobs – କାନ୍ଦ
filmy – ଚଳଚ୍ଚିତ୍ର
crowding – ଭିଡ଼
congested – crowded – ଜନଗହଳିପୂର୍ଣ୍ଣ
lingering – ଦୀର୍ଘ ସମୟ
thick – ମୋଟା
jostle – to push roughly against somebody in a crowd – ଠେଲିଦେବା
struggled – ସଂଘର୍ଷ କଲା
highest pitch – ସର୍ବୋଚ୍ଚ ପିଚ୍
stoop – ଆଣ୍ଠୁଏ

Answer The Following Questions
(ନିମ୍ନଲିଖିତ ପ୍ରଶ୍ନଗୁଡ଼ିକର ଉତ୍ତର ଦିଅନ୍ତୁ)

Question 1.
What is section III about?
(ତୃତୀୟ ବିଭାଗଟି କେଉଁ ବିଷୟ ସମ୍ପର୍କିତ ଅଟେ ?)
Answer:
Section III is about the title of the story, “The Lost Child”. It is about the child’s being lost in the fair and his unconsolable cry for his parents.

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

Question 2.
What was the most attractive thing for the child? How do you know this?
(କେଉଁ ଜିନିଷଟି ପିଲାଟି ପାଇଁ ଅତ୍ୟଧିକ ଆକର୍ଷଣୀୟ ଥିଲା ? ତୁମେ ଏହା କିପରି ଜାଣୁଛ ?)
Answer:
The most attractive thing for the child was undoubtedly his parents. We know this from his repeated trembling sobs, “Mother, Father.”

Question 3.
What made the child cry? How did he try to look for his parents?
(କ’ଣ ପିଲାଟିକୁ କନ୍ଦାଇଦେଲା ? ସେ କିପରି ତା’ର ବାପାମାଆଙ୍କୁ ଖୋଜିବାକୁ ଚେଷ୍ଟାକଲା ?)
Answer:
The child looked for his parents in the fair but in vain. Soon he started crying out of fear. He ran from one direction to another. He looked all around him. He tried his best to find out his parents, but could not find them.

Question 4.
Who lifted the child up and how?
(ପିଲାଟିକୁ କିଏ ଉଠାଇନେଲା ଓ କିପରି ? )
Answer:
A kind man in the crowd heard the child’s cry. He was moved by the sorrowful cry of the child. Then the man, stooping with great difficulty, lifted the child up in his arms.

Question 5.
Do you think the child will find his parents?
(ତୁମେ ଭାବୁଛ କି ପିଲାଟି ତା’ର ବାପାମାଆଙ୍କୁ ଖୋଜି ପାଇବ ?)
Answer:
I think the child will find his parents.

SUMMARY: III
The man asked the child about his parents. The child wept more and more and wanted his father and mother. The man tried his best to make him happy. He took him to the snake-charmer, balloon seller and flower seller in order to divert his attention. But the child wanted nothing except his father and mother. The man made his last attempt to make him happy by giving sweets. The child turned his face from the sweet shop and only sobbed to get at his parents. The child lost interest in the things he had wanted earlier.

Notes :
asked – ପଚାରିଲା , wept- କାନ୍ଦିଲା, divert- ଡାଇଭର୍ଟ କରନ୍ତୁ, attention- ଧ୍ୟାନ, except- ଏହା ବ୍ୟତୀତ, attempt – ଚେଷ୍ଟା, interest- ଆଗ୍ରହ

ସାରାଂଶ :
ଓ ମାଆଙ୍କୁ ଖୋଜିଲା । ଲୋକଟି ପିଲାଟିକୁ ଖୁସି କରିବାକୁ ବହୁତ ଚେଷ୍ଟା କଲା । ସେ ପିଲାଟିର ମନ ପରିବର୍ତ୍ତନ ପାଇଁ ସାପୁଆକେଳା, ବେଲୁନ୍ ବିକାଳି ଓ ଫୁଲ ବିକାଳି ନିକଟକୁ ନେଲା । ମାତ୍ର ପିଲାଟି ତା’ର ବାପା-ମାଆଙ୍କ ବ୍ୟତୀତ ଅନ୍ୟ କିଛି ଚାହୁଁ ନଥିଲା । ଶେଷ ପଦକ୍ଷେପସ୍ୱରୂପ ଲୋକଟି ପିଲାଟିକୁ ମିଠାଇ ଦେଇ ଖୁସି କରିବାକୁ ଚେଷ୍ଟାକଲା । ପିଲାଟି ମିଠାଇ ଦୋକାନଆଡ଼ୁ ମୁଁହ ବୁଲାଇ ଆଣିଲା ଏବଂ ତା’ର ବାପା-ମାଆଙ୍କ ନିକଟରେ ପହଞ୍ଚିବାକୁ କେବଳ ବିକଳ ହୋଇ କାନ୍ଦୁଥିଲା । ପୂର୍ବରୁ ଚାହୁଁଥିବା ଦ୍ରବ୍ୟଗୁଡ଼ିକ ପ୍ରତି ତା’ର ତିଳେମାତ୍ର ଆଗ୍ରହ ନ ଥିଲା ।

The Text: ପାଠ୍ୟଚିଷୟ
Paragraphwise Analysis
Text- 1

“How did you get here, child? Whose baby are you ?” the man asked worriedly. The child wept more bitterly than ever now and only cried, “I want my mother, / want my father!” The man tried to soothe him by taking him to the roundabout. “Will you have a ride on the horse ?”, he gently asked as he approached the ring. The child did not look at it, but he only shouted, “I want my mother, I want my father!” The man headed towards the place where the snake-charmer still played on the flute to the swaying cobra.

“Listen to that nice music, child!” he pleaded. But the child shut his ears with his fingers and shouted his double-pitched strain: “I want my mother, I want my father!” The man took him near the balloons, thinking the bright colours of the balloons would distract the child’s attention and quieten him. “Would you like a rainbow coloured balloon ?”, he very lovingly asked. The child turned his eyes from the flying balloons and just sobbed, “I want my mother, I want my father!”

ଅନୁବାଦ :
‘‘ଆରେ ବାପା, ତୁ’ ଏଠାକୁ ଆସିଲୁ କିପରି ? ତୁ କାହାର ପୁଅ ?’’ ଲୋକଟି ବ୍ୟସ୍ତ ହୋଇ ପଚାରିଲା । ପୂର୍ବାପେକ୍ଷା ପିଲାଟି ଏବେ ଅଧୂକ ଜୋର୍‌ରେ କଇଁ କଇଁ ହୋଇ କାନ୍ଦିଲା ଓ କେବଳ ଚିତ୍କାର ଛାଡ଼ି କହିଲା, ‘ମୁଁ ମା’ ପାଖକୁ ଯିବି, ବାପା ପାଖକୁ ପିଲାଟିକୁ ଚକ୍ରଦୋଳି ପାଖକୁ ନେଇ ଲୋକଟି ତାକୁ ଶାନ୍ତ କରିବାକୁ ଚେଷ୍ଟା କଲା । ଚକ୍ରଦୋଳି ପାଖକୁ ଯାଉଥିଲାବେଳେ ଲୋକଟି ଧୀର ଗଳାରେ ପିଲାଟିକୁ ପଚାରିଲା, ‘ତୁ’ ଘୋଡ଼ା ପିଠିରେ ବୁଲିବୁରେ ବାପା ?’’ ପିଲାଟି ଘୋଡ଼ା ଆଡ଼କୁ ନ ଚାହିଁ କେବଳ ଜୋର୍‌ରେ କାନ୍ଦି କହିଲା, ‘‘ମୁଁ ମା’ ପାଖକୁ ଯିବି, ବାପା ପାଖକୁ ଯିବି !””

ଫଣା ଉଠାଇ ବଂଶୀ ବାଦ୍ୟରେ ଝୁମିଝୁମି ନାଚୁଥିବା ସାପ ଓ ବଂଶୀ ବଜାଉଥବା ସାପୁଆକେଳା ଆଡ଼କୁ ଲୋକଟି ଆଗେଇଗଲା । ଲୋକଟି ସ୍ନେହବୋଳା ଶବ୍ଦରେ କହିଲା, ‘ମଧୁର/ମିଠା ସଙ୍ଗୀତକୁ ଶୁଣିବୁରେ ବାପା !’’ କିନ୍ତୁ ପିଲାଟି ଆଙ୍ଗୁଠିରେ କାନ ଦୁଇଟିକୁ ବନ୍ଦକରି ନିଜର ଚିତ୍କାରକୁ ଦୁଇଗୁଣା କରି କହିଲା, ‘‘ମାଆ ପାଖକୁ ଯିବି, ବାପା ପାଖକୁ ଯିବି ।’’ କାଳେ ଉଜ୍ଜ୍ଵଳ ରଙ୍ଗର ବେଲୁନ୍‌ଗୁଡ଼ିକ ପିଲାଟିର ମନ ବଦଳାଇ ତାକୁ ଶାନ୍ତ କରିବ, ଏହା ଚିନ୍ତା କରି ଲୋକଟି ତାକୁ ବେଲୁନ୍ ପାଖକୁ ନେଇଗଲା ଓ ତାକୁ ଶାନ୍ତ କରିବାକୁ ଚେଷ୍ଟା କରି ଅତି ଆଦରରେ କହିଲା, ‘ତୁ’ ଗୋଟିଏ ଇନ୍ଦ୍ରଧନୁ ରଙ୍ଗର ବେଲୁନ୍ ନେବୁ ?’’ ଉଡ଼ନ୍ତା ବେଲୁଗୁଡ଼ିକରୁ ନିଜର ଆଖ୍ ଫେରାଇ ଆଣି ପିଲାଟି କାନ୍ଦି କହିଲା, ‘ମୁଁ ମା’ ପାଖକୁ ଯିବି, ବାପା ପାଖକୁ ଯିବି !??

Text- 2
The man, still trying to make the child happy, bore him to the gate where theflower-seller sat. “Look! Can you smell those nice flowers, child! Would you like a garland to put round your neck ?” The child turned his nose away from the basket and repeated his sob, “I want my mother, I want my father!”

Thinking he could change the child’s mindand make him happy by a gift ofsweets, the man took him to the counter of the sweet shop. “What sweets would you like, child ?” he asked. The child turned hisfacefrom the sweet shop and only sobbed, “I want my mother, I want myfather!”

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

ଅନୁବାଦ :
ପିଲାଟିକୁ ଏବେ ବି ଖୁସି କରିବାକୁ ଚେଷ୍ଟା କରୁଥିବା ଲୋକଟି ତାକୁ ଫାଟକ ପାଖରେ ଫୁଲ ବିକୁଥ‌ିବା ଲୋକଟି ପାଖକୁ ନେଇଯାଇ କହିଲା, ‘ଦେଖ, ବାପା, ଏହି ସୁନ୍ଦର ଫୁଲଗୁଡ଼ିକରୁ ଗନ୍ଧ ବାରି ପାରୁଛୁ ? ତୋର ବେକ ଚାରିପଟେ ପକାଇବାପାଇଁ ତୁ ଗୋଟିଏ ହାର ଚାହୁଁଛୁ କି ?’’ ପିଲାଟି ଝୁଡ଼ିଠାରୁ ତା’ର ନାକ ଫେରାଇ ଆଣି ମୁଁ ସଁ ହୋଇ କାନ୍ଦି କହିଲା, ‘‘ମୁଁ ମାଆ ପାଖକୁ ଯିବି, ବାପା ପାଖକୁ ଯିବି !’’
‘ତୁ କେଉଁସବୁ ମିଠାଇ ଖାଇବୁରେ ବାପା ?’’ ଲୋକଟି ପଚାରିଲା । କିନ୍ତୁ ପିଲାଟି ମିଠାଇ ଦୋକାନରୁ ମୁହଁ ବୁଲେଇ ଆଣି କେବଳ ବିକଳ ହୋଇ କହିଲା, ‘ମୁଁ ମା’ ପାଖକୁ ଯିବି, ବାପା ପାଖକୁ ଯିବି !”

Notes And Glossary : (ଟିପ୍‌ପଣୀ ଓ କଠିନ ଶବ୍ଦାର୍ଥ)

bitterly – ତିକ୍ତ ଭାବରେ
soothe – to make somebody feel calmar/better – କାହାକୁ ଶାନ୍ତ / ଭଲ ଅନୁଭବ କରିବାକୁ |
approach – to come near – ନିକଟତର ହେବାକୁ
swaying – moving slowly from side to side – ପାର୍ଶ୍ୱରୁ ଧୀରେ ଧୀରେ ଗତି କରୁଛି
double – pitched – ପିଚ୍
strain – ଷ୍ଟ୍ରେନ୍
rainbow – ଇନ୍ଦ୍ରଧନୁ
distract – to take somebody’s attention away from that he wants – ସେ ଚାହୁଁଥିବା ଠାରୁ କାହାର ଧ୍ୟାନ ନେବାକୁ |
counter – the table of a shop – ଏକ ଦୋକାନର ଟେବୁଲ୍
quieten – to make someone calmer/less noise/silent – ଶାନ୍ତ କର

Answer The Following Questions
(ନିମ୍ନଲିଖିତ ପ୍ରଶ୍ନଗୁଡ଼ିକର ଉତ୍ତର ଦିଅନ୍ତୁ)

Question 1.
What did the man want to know from the child?
(ଲୋକଟି ପିଲାଟିଠାରୁ କ’ଣ ଜାଣିବାକୁ ଚାହିଁଲା ?)
Answer:
The man who rescued the child wanted to know about his parents and how he came to the fair ground.

Question 2.
Did the man try to make the child happy? How?
(ଲୋକଟି ପିଲାଟିକୁ ଖୁସି କରିବାକୁ ଚେଷ୍ଟାକଲା କି ? କିପରି ? )
Answer:
The man tried his best to make the child happy. He took him to the roundabout, snake charmer, balloon seller, flower seller and sweetmeat seller to divert his attention.

Question 3.
How did the child react to the man’s offerings?
( ପିଲାଟି ଲୋକଟିର ଉପହାରଗୁଡ଼ିକ ପ୍ରତି କିପରି ପ୍ରତିକ୍ରିୟା ପ୍ରଦର୍ଶନ କଲା ?
Answer:
The man wanted to make the child happy by his offerings. He wanted to offer him flower garland, beautiful balloons and sweets. But the child had lost interest in those things. On the contrary he only sobbed and wanted to see his mother and father.

Question 4.
What impression do you have on the man who helped the child?
( ପିଲାଟିକୁ ସାହାଯ୍ୟ କରିଥିବା ଲୋକଟି ଉପରେ ତୁମର ଧାରଣା କ’ଣ ?)
Answer:
No doubt the man who helped the child was very kind and affectionate. Because nobody in the crowd except that man came forward to help the child. He also tried to make the child comfortable by offering him many attractive things. His attempts to cheer up the child is praiseworthy.

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

Question 5.
Will the man be able to find the child’s parents? What will happen to the lost child?
(ଲୋକଟି ପିଲାଟିର ବାପାମାଆଙ୍କୁ ଖୋଜି ପାଇବାରେ ସକ୍ଷମ ହେବ କି ? ହଜିଯାଇଥିବା ପିଲାଟିର କ’ଣ ହେବ ?)
Answer:
Probably the man will be able to find the child’s parents. The child’s parents must also be looking for their lost child. They won’t leave the place unless their lost child is found out. After their meeting the child will be handed over to his parents.

Activity- I
କାର୍ଯ୍ୟକଳାପ- I

(A) The following is the summary of the story ‘The Lost Child’. Fill in the blanks of the summary with the suitable words from the bracket.
(ନିମ୍ନଲିଖଟି ‘The Lost Child’ ଗଳ୍ପର ସାରାଂଶ ଅଟେ । ବନ୍ଧନୀ ମଧ୍ଯରୁ ଉପଯୁକ୍ତ ଶବ୍ଦ ନେଇ ସାରାଂଶର ଶୂନ୍ୟସ୍ଥାନ ପୂରଣ କର ।)
(interest, happy, flower seller, roundabout, balloons, toys, village fair, snake charmer, sweetmeat seller, dragon flies, parents, beautiful grove, temple gate, ran, cried, father and mother)

Once a child went to a ________ with his parents. Fascinated by the _______ he lagged behind. On his way to the fair he saw the _________ a _________ etc. The child with his parents arrived the village square and saw a _________with various sweets, a ____________ with garlands of gulmohur, a man holding with ________ a ________ playing a flute to a snake and a _________ in full swing. He wanted to go on the roundabout and couldn’t find his ___________ in the crowd. Then he _________,_________ here and there in the crowd to find his parents. At the _________ a man lifted him up in his arms and asked him about his __________. The man wanted to make the child __________ but the child lost ____________in the things that he had wanted earlier.

Answer:
Once a child went to a village fair with his parents. Fascinated by the toys he lagged behind. On his way to the fair he saw the dragon flies, a beautiful grove etc. The child with his parents arrived the village square and saw a sweetmeat seller with various sweets, a flower seller with garlands of gulmohur, a man holding with balloons a snake charmer playing a flute to a snake and a roundabout in full swing. He wanted to go on the roundabout and couldn’t find his father and mother in the crowd. Then he cried, ran here and there in the crowd to find his parents. At the temple gate a man lifted him up in his arms and asked him about his parents. The man wanted to make the child happy but the child lost interest in the things that he had wanted earlier.

Writing: ଲେଖିବା:

Question 1.
What were the things the child saw on his way to the fair? Why did he lag behind his parents?
(ପିଲାଟି ମେଳାକୁ ଯିବା ବାଟରେ କେଉଁ ଜିନିଷମାନ ଦେଖିଲା ? ସେ ତା’ ବାପାମାଆଙ୍କଠାରୁ କାହିଁକି ପଛରେ ରହିଗଲା ?)
Or, Where was the child going? What made him lag behind his parents?
(ପିଲାଟି କେଉଁଠାକୁ ଯାଉଥିଲା ? କେଉଁଥିପାଇଁ ସେ ତା’ ବାପମାଆଙ୍କଠାରୁ ପଛରେ ରହିଗଲା ?)
Answer:
The child was going to a village fair with his parents. A number of people were going along the road. First of all the child was attracted towards the toys displayed in the shops on the way and lagged behind his parents. After few steps he was fascinated by a group of dragon-flies moving from flower to flower in a flowering mustard-field. So he lagged behind his parents. Again he was left behind, attracted by the insects and worms along the footpath. On the way he enjoyed the cooing of doves in a grove. So he always lagged behind his parents on his way to the fair.

Question 2.
What things in the fair attracted the child? Why did he move on without waiting for an answer from his parents?
(ମେଳାରେ କେଉଁ ଜିନିଷସବୁ ପିଲାଟିକୁ ଆକର୍ଷିତ କରିଥିଲା ? ସେ ତା’ର ବାପାମାଆଙ୍କ ଉତ୍ତରକୁ ଅପେକ୍ଷା ନ କରି କାହିଁକି ଆଗକୁ ଚାଲିଲା ?)
Answer:
The child arrived in the fair with his parents. He saw a sweetmeat seller with various sweets. Particularly the burfi displayed in the shop attracted him and he asked for it in a slow voice. But he was well aware about the attitude of his parents, so he moved on. He saw a flower-seller with garlands of gulmohur.

He was willing to buy one, but he couldn’t express it. As he moved on he found a man holding with balloons of different colours. He desired to possess them all. But he knew it well that his parents would refuse to buy it. So he moved on. At last he heard a snake charmer playing a flute to a snake. He was attracted towards the music. But he didn’t enjoy it because his parents would forbid him to hear such coarse music. So, he just walked farther without waiting for any answer from his parents.

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

Question 3.
When did he realize that he had lost his way ? How is it described in the story?
(ସେ ତା’ର ବାଟ ଭୁଲିଛି ବୋଲି କେତେବେଳେ ହୃଦୟଙ୍ଗମ କଲା ? ଏହା ଗଳ୍ପଟିରେ କିପରି ବର୍ଣ୍ଣିତ ହୋଇଛି ?)
Answer:
The child with his parents arrived the village square and enjoyed the fair. He was attracted towards various fascinating things for the children like burfi, balloons and garland of gulmohur. He wanted to go on the roundabout. So he made a bold request to his parents to allow him. But there was no reply. He turned to look on either side but couldn’t find them in the crowd. He looked all around him to locate his parents but in vain. He realized that he had lost his way in the fair. Then he tried to look for his father and mother.

Question 4.
Why did the lost child lose interest in the things that he had wanted earlier?
(ପୂର୍ବରୁ ଚାହିଁଥ‌ିବା ଜିନିଷଗୁଡ଼ିକ ପ୍ରତି ପିଲାଟି କାହିଁକି ଆଗ୍ରହ ହରାଇଲା?)
Answer:
The child visited various fascinating stall in the fair. He was interested to buy burfi, in a sweetmeat stall. He showed great interest to buy the garland of gulmohur and coloured balloons displayed in the fair. Fascinated by the round-about, he unfortunately lagged behind his parents and lost his way. He looked for his parents here and there but didn’t find them. He cried severely. Fortunately a man in the crowd lifted him up in his arms. He tried his best to make the child happy. He took the child to the stalls of his interest. He wanted to offer him these things. But the child lost interest in the things that he had wanted earlier. He only wanted to see his father and mother.

Question 5.
What do you think happens in the end? Does the child find his parents?
(ଶେଷରେ କ’ଣ ହେବ ବୋଲି ତୁମେ ଭାବୁଛ ? ପିଲାଟି ତା’ର ବାପାମାଆଙ୍କୁ ପାଇବ କି ?)
Answer:
Being attracted towards different attractive things and in his longing to get them the child lost his way in the crowd. The child didn’t find his parents. He was rescued by a man in the crowd. The child was still searching for his parents with the man till the end of the story. I think the child will find his parents. Because it is a village fair and there is no chance of missing. Besides his parents will also be looking for their lost child and will wait till the child will be found out.

(B) Read the following sentences and order them as they are used in the story and then fill in the blanks of the table. One is done for you.
(ନିମ୍ନଲିଖ୍ ବାକ୍ୟଗୁଡ଼ିକୁ ପଢ଼ ଓ ଗପଟିରେ ଯେଉଁ କ୍ରମରେ ଅଛି ସେହି କ୍ରମରେ ସଜାଅ ଓ ତା’ପରେ ଟେବୁଲ୍‌ରେ ଥ‌ିବା ଶୂନ୍ୟସ୍ଥାନ ପୂରଣ କର । ଗୋଟିଏ ତୁମ ପାଇଁ କରିଦିଆଯାଇଛି । )
(a) I want that burfi.
(b) I want that toy.
(c) I want that garland.
(d) Come, child come, on to the footpath.
(e) I want to go on the roundabout, please, father, mother.
(f) Come child come.
(g) Listen to that nice music, child.
(h) Look child what is before you !
(i) I want my mother, I want my father!
(j) Father, mother!
(k) Whose baby are you?
(l) What sweets would you like?

Section (Part) (What) Statements Who said? To whom?
I (f) Come, child, come. parents child
II
III
IV

Answer:

Section (Part) (What) Statements Who said? To whom?
I (f) Come, child, come.
(b) I want that toy.
(h) Look child what is before you!
(d) Come, child come, on to the footpath.
Parents
child
mother
mother
Child
parents
child
child
II (a) I want that burfi.
(c) I want that garland.
child
child
parents
parents
III (e) I want to go on the roundabout, please, father, mother.
(j) Father, mother!
Child
child
father and mother
father and mother
IV (k) Whose baby are you?
(i) I want my mother, I want my father!
(g) Listen to that nice music, child.
(1) What sweets would you like?
the man
child
the man
the man
Child
the man
child
child

(C) The main ideas of the story, “The Lost Child” are given below. Read and put them in the appropriate boxes of the Flow Chart. One has been done for you.
(“The Lost Child”” ଗଳ୍ପର ମୁଖ୍ୟ ବିଷୟବସ୍ତୁ ନିମ୍ନରେ ଦିଆଯାଇଛି । ସେଗୁଡ଼ିକୁ ପଢ଼ ଓ ପ୍ରବାହ ଚିତ୍ରର ଉପଯୁକ୍ତ କୋଠରିରେ ସେଗୁଡ଼ିକୁ ଲେଖ । ତୁମ ପାଇଁ ଗୋଟିଏ କରିଦିଆଯାଇଛି ।)

  • The child’s cry out of fear without seeing his parents in the crowd.
  • The child’s hesitation towards the attracted things in the fair and his sobbing to see his father and mother.
  • His eagerness to have different things from a sweetmeat seller with sweets, a lower seller with garlands, a snake charmer with a snake, a roundabout with full swing in the fair.
  • Attraction of the toys, a flowering mustard field, a group of dragon flies, the little insects and worms, a beautiful grove, the banyan tree etc. on the way to village fair.
  • A child’s visit to a village fair with parents.

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child Q5C 1

Answer: (ଉତ୍ତର)

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child Q5C 2

BSE Odisha 9th Class English The Lost Child Important Questions and Answers

Answer The Following In A Sentence:

Question 1.
What do you think happens in the end?
Answer:
We think the child does not find his parents in the end.

Question 2.
Why did the lost child lose interest in the things that he had wanted earlier?
Answer:
The lost child lost interest in the things like toys, burfi, balloons, gulmohur garland that he had wanted earlier.

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

Question 3.
What were the things the child saw on his way to the fair?
Answer:
On his way to the fair the child was attracted towards the toys displayed in the shops.

Question 4.
How did the child enjoy himself in the grove on his way to the fair?
Answer:
On his way he entered a grove where a shower of young flowers fell upon him. He became very happy and collected the petals in his hands.

Question 5.
What things in the fair attracted the child?
Answer:
First of all the child saw a sweets stall in the fair. The burfi displayed in the shop attracted him.

Question 6.
When did the child realize that he had lost his way?
Answer:
The child looked all around to locate his parents but in vain. He realized that he had lost his way in the fair.

Question 7.
How did the man try to make the child happy?
Answer:
The man could realise the situation and tried his best to make him happy.

Question 8.
Why did the child feel disheartened?
Answer:
The child lost interest in the things he had wanted earlier. Within himself he felt disheartened.

Question 9.
What did the man offer the child to divert his attention?
Answer:
As the child was crying for his parents, the man took him to different shops to divert his attention.

Answer The Following In A Word Or A Phrase:

Question 1.
Who lifted the boy hearing his cry?
Answer:
a man in the rushing crowd

Question 2.
Who were flying noisely on their bright purple wings?
Answer:
a group of dragon-flies

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

Question 3.
What fell upon the child as he entered the grove?
Answer:
a shower of young flowers

Fill In The Blanks:

Question 1.
The little boy ran between his father’s legs, brimming over with ________.
Answer:
life and laughter

Question 2.
While going to the fair, the boy lagged behind because he was fascinated by toys in the _________.
Answer:
shops

Question 3.
The boy pleaded to his parents to buy him ________.
Answer:
the toys

Question 4.
Father looked at the child red-eyed in his ________.
Answer:
familiar tyrant

Question 5.
The flowering mustard field looked pale like ________.
Answer:
melting gold

Question 6.
The child’s mother gave ________ call when he was following the dragon flies.
Answer:
a cautionary

Question 7.
The child was attracted by_______ along the footpath.
Answer:
little insects

Question 8.
In the grove the child, forgetting his parents began to _______.
Answer:
gather the raining petals

Question 9.
The child ran towards his parents hearing the ________.
Answer:
cooing of doves

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

Question 10.
As the child neared the village, the child could see ________.
Answer:
footpaths full of people

Question 11.
The boy hid himself _________ after hearing the cooing of doves.
Answer:
round the banyan tree

Question 12.
The child felt both _________ by the conclusion of the world he was entering.
Answer:
repelled and fascinated

Question 13.
A sweetmeat seller hawked ________.
Answer:
gulab-jamun, rasagulla, burfi, jalebi

Question 14.
The child’s mouth watered for _________.
Answer:
the burfi

Question 15.
The child knew that his plea wouldn’t be headed because his parents would say he was ________.
Answer:
greedy

Question 16.
A flower seller hawked ________.
Answer:
a garland of gulmohur

Question 17.
Seeing the colourful balloons the child desired to ________.
Answer:
possess them all

Question 18.
A snake charmer stood playing __________ to a snake which coiled itself in a basket.
Answer:
flute

Question 19.
The snake’s head raised in a graceful bend like _________.
Answer:
the neck of a swan

Question 20.
There was a _______ in full swing.
Answer:
round about

Question 21.
The child made a bold request to________.
Answer:
go on the round about

Question 22.
A full deep cry rose within his dry throat when the child couldn’t _________.
Answer:
find his mother and father

Question 23.
The boy was wearing a ________turban.
Answer:
yellow

Question 24.
The child’s cry changed into sobs after having run _______.
Answer:
here the there

Question 25.
There were a heavy crowd near the _______.
Answer:
temple

Question 26.
Near the entrance of the temple, however the crowd became _________.
Answer:
very thick

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

Question 27.
In the entrance of the temple people ________ with each other.
Answer:
jostled

Question 28.
The poor child struggled to find a way ________.
Answer:
between the people’s feet

Multiple Choice Questions With Answers :

Question 1.
“People in general’ means ________.
(A) humanity
(B) public
(C) human being
(D) all the above
Answer:
(A) humanity

Question 2.
At a little distance on the green grass the child could see, through his ________.
(A) tearful eyes
(B) filmy eyes
(C) bright eyes
(D) blue eyes
Answer:
(B) filmy eyes

Question 3.
“act of looking at”- The expression refers to ________.
(A) stare
(B) behold
(C) see
(D) watch
Answer:
(A) stare

Question 4.
The boy pleaded to his parents to buy him ________.
(A) the toys
(B) flowers
(C) fruits
(D) balloons
Answer:
(A) the toys

Question 5.
The flowering mustard field looked pale like _________.
(A) bright gold
(B) melting gold
(C) yellowish gold
(D) light gold
Answer:
(B) melting gold

Question 6.
The child’s mother gave _________call when he was following the dragon flies.
(A) a loud
(B) a threatening
(C) a cautionary
(D) an affectionate
Answer:
(C) a cautionary

Question 7.
The child’s mouth watered for ________.
(A) the rasagulla
(B) the burfi
(C) thejalebi
(D) gulab-jaman
Answer:
(B) the burfi

Question 8.
The child knew that his plea wouldn’t be headed because his parents would say he was _________.
(A) greedy
(B) naughty
(C) miser
(D) obstinate
Answer:
(A) greedy

Question 9.
A snake charmer stood playing ________ to a snake which coiled itself in a basket.
(A) flute
(B) violin
(C) pipe
(D) drum
Answer:
(A) flute

Question 10.
There was a _______in full swing.
(A) round about
(B) ladder
(C) both of these
(D) none of these
Answer:
(A) round about

BSE Odisha 9th Class English Solutions Non-Detailed Chapter 2 The Lost Child

Question 11.
The boy was wearing a _______turban.
(A) red
(B) yellow
(C) green
(D) grey
Answer:
(B) yellow

Question 12.
There was a heavy crowd near the _________.
(A) temple
(B) fair
(C) market
(D) village fair
Answer:
(A) temple

Question 13.
Near the entrance of the temple, however the crowd became _______.
(A) very thick
(B) very thin
(C) very large
(D) none of these
Answer:
(A) very thick

Question 14.
In the entrance of the temple people _________ with each other.
(A) pushed
(B) pulled
(C) jostled
(D) quarrelled
Answer:
(C) jostled

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a)

Odisha State Board Elements of Mathematics Class 12 CHSE Odisha Solutions Chapter 4 Matrices Ex 4(a) Textbook Exercise Questions and Answers.

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Exercise 4(a)

Question 1.
State the order of the following matrices.
(i) [abc]
(ii) \(\left[\begin{array}{l}
1 \\
2
\end{array}\right]\)
(iii) \(\left[\begin{array}{ll}
x & y \\
y & z \\
z & x
\end{array}\right]\)
(iv) \(\left[\begin{array}{cccc}
1 & 0 & 1 & 4 \\
2 & 1 & 3 & 0 \\
-3 & 2 & 1 & 3
\end{array}\right]\)
Solution:
(i) (1 x 3)
(ii) (2 x 1)
(iii) (3 x 2)
(iv) (3 x 4)

Question 2.
How many entries are there in a
(i) 3 x 3 matrix
(ii) 3 x 4 matrix
(iii) p x q matrix
(iv) a sqare matrix of order p?
Solution:
(i) 9
(ii) 12
(iii) pq
(iv) p2

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a)

Question 3.
Give an example of
(i) 3 x 1 matrix
(ii) 2 x 2 matrix
(iii) 4 x 2 matrix
(iv) 1 x 3 matrix
Solution:
(i) \(\left(\begin{array}{l}
a \\
b \\
c
\end{array}\right)\)
(ii) \(\left(\begin{array}{ll}
a & b \\
c & d
\end{array}\right)\)
(iii) \(\left(\begin{array}{ll}
a & b \\
c & d \\
e & f \\
g & h
\end{array}\right)\)
(iv) (1, 2, 3)

Question 4.
Let A = \(\left[\begin{array}{lllll}
1 & 2 & 3 & 4 & 1 \\
4 & 5 & 6 & 1 & 2 \\
3 & 9 & 1 & 1 & 6
\end{array}\right]\)
(i) What is the order of A?
(ii) Write down the entries a31, a25, a23
(iii) Write down AT.
(iv) What is the order of AT?
Solution:
A = \(\left[\begin{array}{lllll}
1 & 2 & 3 & 4 & 1 \\
4 & 5 & 6 & 1 & 2 \\
3 & 9 & 1 & 1 & 6
\end{array}\right]\)
(i) Order of A is (3 x 5)
(ii) a31 = 3, a25= 2, a23 = 6
(iii) AT = \(\left[\begin{array}{lll}
1 & 4 & 3 \\
2 & 5 & 9 \\
3 & 6 & 1 \\
4 & 1 & 1 \\
1 & 2 & 6
\end{array}\right]\)
(iv) Order of AT is (5 x 3).

Question 5.
Matrices A and B are given below. Find A + B, B + A, A – B and B – A. Verify that A + B = B + A and B – A = -(A – B)
(i) A = \(\left[\begin{array}{l}
7 \\
1
\end{array}\right]\), B = \(\left[\begin{array}{c}
-6 \\
9
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.5(1)

(ii) A = \(\left[\begin{array}{cc}
1 & 2 \\
3 & -1
\end{array}\right]\), B = \(\left[\begin{array}{cc}
4 & 1 \\
-3 & 2
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.5(2)

(iii) A = \(\left[\begin{array}{ll}
\frac{1}{2} & \frac{1}{4} \\
\frac{1}{3} & \frac{1}{5}
\end{array}\right]\), B = \(\left[\begin{array}{ll}
\frac{1}{3} & \frac{1}{2} \\
\frac{1}{2} & \frac{4}{5}
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.5(3)

(iv) A = \(\left[\begin{array}{cc}
1 & a-b \\
a+b & -3
\end{array}\right]\), B = \(\left[\begin{array}{cc}
1 & b \\
-a & 5
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.5(4)

(v) \(\left[\begin{array}{rrr}
1 & -2 & 5 \\
-1 & 4 & 3 \\
1 & 2 & -3
\end{array}\right]\), B = \(\left[\begin{array}{rrr}
-1 & 2 & -5 \\
1 & -3 & -3 \\
1 & 2 & 4
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.5(5)

Question 6.
(i) Find the 2×2 matrix X
if X + \(\left[\begin{array}{ll}
0 & 1 \\
1 & 0
\end{array}\right]\) = \(\left[\begin{array}{ll}
2 & 0 \\
0 & 2
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.6(1)

(ii) Given
[x y z] – [-4 3 1] = [-5 1 0] derermine x, y, z.
Solution:
[x y z] – [-4 3 1] = [-5 1 0]
∴ (x y z) = (-4 3 1) + (-5 1 0) = (-9 4 1)
∴ x = -9, y = 4, z = 1

(iii) If \(\left[\begin{array}{ll}
x_1 & x_2 \\
y_1 & y_2
\end{array}\right]\) – \(\left[\begin{array}{ll}
2 & 3 \\
0 & 1
\end{array}\right]\) = \(\left[\begin{array}{ll}
3 & 5 \\
1 & 2
\end{array}\right]\) determine x1, x2, y1, y2.
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.6(3)

(iv) Find a matrix which when added to \(\left[\begin{array}{cc}
2 & -3 \\
-4 & 7
\end{array}\right]\) gives \(\left[\begin{array}{ll}
4 & 1 \\
3 & 2
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.6(4)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a)

Question 7.
Calculate whenever possible, the following products.
(i) \(\left[\begin{array}{ll}
1 & 2 \\
3 & 4
\end{array}\right]\left[\begin{array}{l}
2 \\
3
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.7(1)

(ii) \(\left[\begin{array}{l}
2 \\
3
\end{array}\right]\left[\begin{array}{ll}
1 & 2 \\
4 & 3
\end{array}\right]\)
Solution:
\(\left[\begin{array}{l}
2 \\
3
\end{array}\right]\left[\begin{array}{ll}
1 & 2 \\
4 & 3
\end{array}\right]\) is impossible because number of columns of 1st ≠ number of rows of second.

(iii) \(\left[\begin{array}{ll}
1 & 2 \\
2 & 1
\end{array}\right]\left[\begin{array}{ll}
3 & 1 \\
1 & 1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.7(3)

(iv) \(\left[\begin{array}{cc}
1 & -2 \\
-2 & 3
\end{array}\right]\left[\begin{array}{lll}
1 & 2 & 3 \\
2 & 3 & 4
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.7(4)

Question 8.
If A = \(\left[\begin{array}{ll}
1 & 2 \\
3 & 4
\end{array}\right]\), B = \(\left[\begin{array}{ll}
3 & 2 \\
1 & 4
\end{array}\right]\), C = \(\left[\begin{array}{ll}
2 & 2 \\
1 & 3
\end{array}\right]\)
Calculate (i) AB (ii) BA (iii) BC (iv) CB (v) AC (vi) CA
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.8

Question 9.
Find the following products.
(i) \(\left[\begin{array}{ll}
1 & 2 \\
3 & 4
\end{array}\right]\left[\begin{array}{ll}
1 & 0 \\
0 & 1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.9(1)

(ii) \(\left[\begin{array}{ll}
1 & 0 \\
0 & 1
\end{array}\right]\left[\begin{array}{ll}
1 & 2 \\
3 & 4
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.9(2)

(iii) \(\left[\begin{array}{ll}
1 & 2 \\
3 & 4
\end{array}\right]\left[\begin{array}{ll}
1 & 3 \\
1 & 4
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.9(3)

(iv) \(\left[\begin{array}{ll}
1 & 3 \\
1 & 4
\end{array}\right]\left[\begin{array}{ll}
1 & 2 \\
3 & 4
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.9(4)

(v) \(\left[\begin{array}{cc}
1 & i \\
i & -1
\end{array}\right]^2\) where i = √-1
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.9(5)

(vi) \(\left[\begin{array}{ll}
\mathbf{0} & \mathbf{1} \\
\mathbf{1} & \mathbf{0}
\end{array}\right]\left[\begin{array}{ll}
a & b \\
c & d
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.9(6)

(vii) \(\left[\begin{array}{ll}
0 & k \\
1 & 0
\end{array}\right]\left[\begin{array}{ll}
a & b \\
c & d
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.9(7)

(viii) \(\left[\begin{array}{ll}
a & b \\
c & d
\end{array}\right]\left[\begin{array}{ll}
0 & 1 \\
1 & 0
\end{array}\right]\)
Solution:
D:\BSE Odisha.guru\Image\CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.9(8).png

(ix) \(\left[\begin{array}{ll}
1 & 0 \\
0 & k
\end{array}\right]\left[\begin{array}{ll}
a & b \\
c & d
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.9(9)

(x) \(\left[\begin{array}{lll}
1 & 2 & 3 \\
4 & 5 & 6 \\
7 & 8 & 9
\end{array}\right]\left[\begin{array}{lll}
0 & 0 & 0 \\
0 & 0 & 0 \\
0 & 0 & 0
\end{array}\right]\)
Solution:
\(\left[\begin{array}{lll}
1 & 2 & 3 \\
4 & 5 & 6 \\
7 & 8 & 9
\end{array}\right]\left[\begin{array}{lll}
0 & 0 & 0 \\
0 & 0 & 0 \\
0 & 0 & 0
\end{array}\right]\) = \(\left[\begin{array}{lll}
0 & 0 & 0 \\
0 & 0 & 0 \\
0 & 0 & 0
\end{array}\right]\)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a)

Question 10.
Write true or false in the following cases:
(i) The sum of a 3 x 4 matrix with a 3 x 4 matrix is a 3 x 3 matrix.
Solution:
False

(ii) k[0] = 0, k ∈ R
Solution:
False

(iii) A – B = B – A, if one of A and B is zero and A and B are of the same order.
Solution:
False

(iv) A + B = B + A, if A and B are matrices of the same order.
Solution:
True

(v) \(\left[\begin{array}{cc}
1 & 0 \\
-2 & 0
\end{array}\right]\) + \(\left[\begin{array}{cc}
-1 & 0 \\
2 & 0
\end{array}\right]\) = 0
Solution:
True

(vi) \(\left[\begin{array}{ll}
3 & 1 \\
6 & 2
\end{array}\right]\) = 3 \(\left[\begin{array}{ll}
1 & 1 \\
2 & 2
\end{array}\right]\)
Solution:
False

(vii) With five elements a matrix can not be constructed.
Solution:
False

(viii)The unit matrix is its own transpose.
Solution:
True

Question 11.
If A = \(\left[\begin{array}{cc}
2 & 4 \\
3 & 13
\end{array}\right]\) and I = \(\left[\begin{array}{ll}
1 & 0 \\
0 & 1
\end{array}\right]\) find A – α I, α ∈ R.
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.11

Question 12.
Find x and y in the following.
(i) \(\left[\begin{array}{cc}
x & -2 y \\
0 & -2
\end{array}\right]=\left[\begin{array}{cc}
1 & -8 \\
0 & -2
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.12(1)

(ii) \(\left[\begin{array}{c}
x+3 \\
2-y
\end{array}\right]=\left[\begin{array}{c}
1 \\
-3
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.12(2)

(iii) \(\left[\begin{array}{c}
2 x-y \\
x+y
\end{array}\right]=\left[\begin{array}{c}
3 \\
-9
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.12(3)

(iv) \(\left[\begin{array}{l}
x \\
y
\end{array}\right]+\left[\begin{array}{l}
3 \\
4
\end{array}\right]=\left[\begin{array}{c}
2 \\
-1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.12(4)

(v) [2x -y] + [y 3x] = 5 [1 0]
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.12(5)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a)

Question 13.
The element of ith row and ith column of the following matrix is i +j. Complete the matrix.
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.13

Question 14.
Write down the matrix
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.14

Question 15.
Construct a 2 x 3 matrix having elements given by
(i) aij = i + j
(ii) aij = i – j
(iii) aij = i × j
(iv) aij = i / j
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.15

Question 16.
If \(\left[\begin{array}{cc}
2 x & y \\
1 & 3
\end{array}\right]+\left[\begin{array}{cc}
4 & 2 \\
0 & -1
\end{array}\right]=\left[\begin{array}{ll}
8 & 3 \\
1 & 2
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.16

Question 17.
Find A such that
\(\left[\begin{array}{ccc}
2 & 3 & 4 \\
1 & 0 & -2 \\
3 & 1 & -1
\end{array}\right]+A=\left[\begin{array}{ccc}
1 & 2 & -1 \\
2 & -1 & 0 \\
1 & 3 & 2
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.17

Question 18.
If
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.18

Question 19.
What is the order of the matrix B if [3 4 2] B = [2 1 0 3 6]
Solution:
(3 4 2) B = (2 1 0 3 6)
Let A = (3 4 2), C = (2 1 0 3 6)
∴ Order of A = (1 x 3)
Order of C = (1 x 5)
∴ Order of B = (3 x 5)

Question 20.
Find A if \(\left[\begin{array}{l}
4 \\
1 \\
3
\end{array}\right]\) A = \(\left[\begin{array}{rrr}
-4 & 8 & 4 \\
-1 & 2 & 1 \\
-3 & 6 & 3
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.20

Question 21.
Find B if B2 = \(\left[\begin{array}{cc}
17 & 8 \\
8 & 17
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.21
∴ a2 + bc = 17, ab + bd= 8
ca + cd = 8, bc + d2 = 17
∴ a2 + bc = bc + d2
or, a2 + d2 or, a = d
or, ca + cd = ab + bd
or, cd + cd – bd + bd
or, 2cd = 2bd = 8
or, b = c and bd = 4 = cd
∴ ab + bd= 8
or, ab + 4 = 8
or, ab = 4
Again, a2 + bc = 17
or, a2 + b . b = 17 (b = c)
or, a2 + b2 = 17
Also (a + b)2 = a2 + b2 + 2ab
∴ (a + b)2 = 17 + 8 = 25
or, a + b = 5
And (a – b)2 = 17 – 8 = 9
or, a – b = 3
∴ a = 4, b = 1, So d = 4, c = 1
∴ B = \(\left[\begin{array}{ll}
4 & 1 \\
1 & 4
\end{array}\right]\)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a)

Question 22.
Find x and y when
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.22

Question 23.
Find AB and BA given that:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.23

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.23(2)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.23(3)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.23(4)

Question 24.
Evaluate
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.24(1)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.24(2)

Question 25.
If
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.25
Show that AB = AC though B ≠ C. Verify that
(i) A + (B + C) = (A + B) + C
(ii) A(B + C) = AB + AC
(iii) A(BC) = (AB)C
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.25.1

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.25(1)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.25(2)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.25(3)

Question 26.
Find A and B where
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.26

Question 27.
If A = \(\left[\begin{array}{cc}
4 & 2 \\
-1 & 1
\end{array}\right]\) and I be the 2 × 2 unit matrix find (A – 2I) (A – 3I)
Solution:

Question 28.
Verify that [AB]T = BTAT where
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.28.1

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.28.2

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a)

Question 29.
Verify that A = \(\left[\begin{array}{ll}
a & b \\
c & d
\end{array}\right]\) satisfies the equation x2 – (a + d)x + (ad – bc)I = 0 where I is the 2 x 2 matrix.
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.29

Question 30.
If A = \(\left[\begin{array}{rrr}
1 & 2 & 3 \\
3 & -2 & 1 \\
4 & 2 & 1
\end{array}\right]\), show that A3 – 23 A – 40 I = 0
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.30

Question 31.
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.31

Question 32.
If A and B are matrices of the same order and AB = BA, then prove that
(i) A2 – B2 = (A – B) (A + B)
(ii) A2 + 2AB + B2 = (A + B)2
(iii) A2 – 2AB + B2 = (A – B)2
Solution:
(i) (A – B) (A + B)
= A2 + AB – BA – B2
= A2 + AB – AB- B2( AB = BA)
= A2 – B2
(ii) (A + B)2 = (A + B) (A + B)
= A2 + AB + BA + B2
= A2 + AB + AB + B2 ( AB = BA)
= A2 + 2AB + B2
(iii) (A – B)2 = (A – B) (A – B)
= A2 – AB – BA + B2
= A2 – AB – AB + B2 (AB = BA)
= A2 – 2AB + B2

Question 33.
If α and β are scalars and A is a square matrix then prove that
(A – αI) . (A – βI) = A2 – (α + β) A + αβI, where I is a unit matrix of same order as A.
Solution:
(A – αI) (A – βI)
= A2 – AβI – αIA + αβI2
= A2 – βAI – αA + αβI
( IA = A, I2 = I)
= A2 – βA – αA + αβI) ( AI = A)
= A2 – (α + β) A + αβI

Question 34.
If α and β are scalars such that A = αβ + βI, where A, B and the unit matrix I are of the same order, then prove that AB = BA.
Solution:
We have A = αβ + βI
AB (αβ + βI) B
= α βB + βI B
= α βB + βB = (α + I) βB
= βB (α + 1)
( Scalar mltiβlication is associative)
= Bβ (α + 1)
= Bβα + Bβ = Bαβ + BIβ
( BI = B)
= B (αβ + βi) = BA
AB = BA
(proved)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a)

Question 35.
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.35

Question 36.
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.36

Question 37.
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.37

Question 38.
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.38(1)

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.38(2)

Question 39.
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.39

Question 40.
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.40

Question 41.
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.41
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.41(1)

Question 42.
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.42

Question 43.

Men Women Children
Family A → 4 6 2
Family B → 2 2 4
Family B
Calory Proteins
Men 2400 45
Women 1900 55
Children 1800 33

Solution:
The given informations can be written in matrix form as
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.43
∴ Calory requirements for families A and B are 24600 and 15800 respectively and protein requirements are 576 gm and 332 gm respectively.

CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a)

Question 44.
Let the investment in first fund = ₹x and in the second fund is ₹(50000-x)
Investment matrix A=[x  50000-x]
CHSE Odisha Class 12 Math Solutions Chapter 4 Matrices Ex 4(a) Q.44
⇒ 300000 – x = 278000
⇒ x = 22000
∴ He invests ₹22000 in first bond and ₹28000 in the second bond.

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

Odisha State Board Elements of Mathematics Class 12 Solutions CHSE Odisha Chapter 5 Determinants Ex 5(b) Textbook Exercise Questions and Answers.

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Exercise 5(b)

Question 1.
Write the number of solutions of the following system of equations.
(i) x – 2y = 0
Solution:
No solution

(ii) x – y = 0 and 2x – 2y = 1
Solution:
Infinite

(iii) 2x + y = 2 and -x – 1/2y = 3
Solution:
No solution

(iv) 3x + 2y = 1 and x + 5y = 6
Solution:
One

(v) 2x + 3y + 1 = 0 and x – 3y – 4 = 0
Solution:
One

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

(vi) x + y + z = 1
x + y + z = 2
2x + 3y + z = 0
Solution:
No solution

(vii) x + 4y – z = 0
3x – 4y – z = 0
x – 3y + z = 0
Solution:
One

(viii) x + y – z = 0
3x – y + z = 0
x – 3y + z = 0
Solution:
One

(ix) a1x + b1y + c1z = 0
a2x + b2y + c2z = 0
a3x + b3y + c3z = 0
and \(\left|\begin{array}{lll}
a_1 & b_1 & c_1 \\
a_2 & b_2 & c_2 \\
a_3 & b_3 & c_3
\end{array}\right|\) = 0
Solution:
Infinite solutions as Δ = Δ1 = Δ2 = Δ3 = 0

Question 2.
Show that the following system is inconsistent.
(a – b)x + (b – c)y + (c – a)z = 0
(b – c)x + (c – a)y + (a – b)z = 0
(c – a)x + (a – b)y + (b – c)z =1
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.2

Question 3.
(i) The system of equations
x + 2y + 3z = 4
2x + 3y + 4z = 5
3x + 4y + 5z = 6 has
(a) infinitely many solutions
(b) no solution
(c) a unique solution
(d) none of the three
Solution:
(a) infinitely many solutions

(ii) If the system of equations
2x + 5y + 8z = 0
x + 4y + 7z = 0
6x + 9y – z = 0
has a nontrivial solution, then is equal to
(a) 12
(b) -12
(c) 0
(d) none of the three
Solution:
(b) -12

(iii) The system of linear equations
x + y + z = 2
2x + y – z = 3
3x +2y + kz = 4
has a unique solution if
(a) k ≠ 0
(b) -1 < k < 1
(c) -2 < k < 2
(d) k = 0
Solution:
(a) k ≠ 0

(iv) The equations
x + y + z = 6
x + 2y + 3z = 10
x + 2y + mz = n
give infinite number of values of the triplet (x, y, z) if
(a) m = 3, n ∈ R
(b) m = 3, n ≠ 10
(c) m = 3, n = 10
(d) none of the three
Solution:
(c) m = 3, n = 10

(v) The system of equations
2x – y + z = 0
x – 2y + z = 0
x – y + 2z = 0
has infinite number of nontrivial solutions for
(a) = 1
(b) = 5
(c) = -5
(d) no real value of
Solution:
(c) = -5

(vi) The system of equations
a1x + b1y + c1z = 0
a2x + b2y + c2z = 0
a3x + b3y + c3z =0
with has
(a) more than two solutions
(b) one trivial and one nontrivial solutions
(c) No solution
(d) only trivial solutions
Solution:
(a) more than two solutions

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

Question 4.
Can the inverses of the following matrices be found?
(i) \(\left[\begin{array}{ll}
0 & 0 \\
0 & 0
\end{array}\right]\)
Solution:
|A| = 0
∴ A-1 can not be found.

(ii) \(\left[\begin{array}{ll}
1 & 2 \\
3 & 4
\end{array}\right]\)
Solution:
∴ |A| = 4 – 6 = -2 ≠ 0
∴ A-1 exists.

(iii) \(\left[\begin{array}{ll}
1 & 1 \\
1 & 1
\end{array}\right]\)
Solution:
|A| = \(\left[\begin{array}{ll}
1 & 1 \\
1 & 1
\end{array}\right]\) = 1 – 1 = 0
∴ A-1 does not exist.

(iv) \(\left[\begin{array}{ll}
1 & 2 \\
2 & 4
\end{array}\right]\)
Solution:
|A| = \(\left[\begin{array}{ll}
1 & 2 \\
2 & 4
\end{array}\right]\) = 4 – 4 = 0
∴ A-1 does not exist.

(v) \(\left[\begin{array}{lll}
1 & 0 & 0 \\
0 & 1 & 0 \\
0 & 0 & 1
\end{array}\right]\)
Solution:
|A| = \(\left[\begin{array}{lll}
1 & 0 & 0 \\
0 & 1 & 0 \\
0 & 0 & 1
\end{array}\right]\) = 1 ≠ 0
∴ A-1 exists.

Question 5.
Find the inverse of the following:
(i) \(\left[\begin{array}{ll}
1 & 0 \\
0 & 1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.5(1)

(ii) \(\left[\begin{array}{cc}
2 & -1 \\
1 & 3
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.5(2)

(iii) \(\left[\begin{array}{cc}
4 & -2 \\
3 & 1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.5(3)

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

(iv) \(\left[\begin{array}{ll}
2 & 5 \\
1 & 3
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.5(4)

(v) \(\left[\begin{array}{cc}
1 & 0 \\
2 & -3
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.5(5)

(vi) \(\left[\begin{array}{cc}
1 & 0 \\
0 & -1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.5(6)

(vii) \(\left[\begin{array}{cc}
i & -i \\
i & i
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.5(7)

(viii) \(\left[\begin{array}{ll}
x & -x \\
x & x^2
\end{array}\right]\), x ≠ 0, x ≠ -1
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.5(8)

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

Question 6.
Find the adjoint of the following matrices.
(i) \(\left[\begin{array}{ccc}
1 & 1 & -1 \\
2 & -1 & 2 \\
1 & 3 & -2
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.6(1)

(ii) \(\left[\begin{array}{ccc}
-2 & 2 & 3 \\
1 & 4 & 2 \\
-2 & -3 & 1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.6(2)

(iii) \(\left[\begin{array}{lll}
2 & 1 & 2 \\
2 & 2 & 1 \\
1 & 2 & 2
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.6(3)

(iv) \(\left[\begin{array}{ccc}
1 & 3 & 0 \\
2 & -1 & 6 \\
5 & -3 & 1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.6(4)

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

Question 7.
Which of the following matrices are invertible?
(i) \(\left[\begin{array}{ccc}
1 & 0 & 0 \\
1 & 1 & 1 \\
2 & -1 & 1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.7(1)

(ii) \(\left[\begin{array}{ccc}
2 & 1 & -2 \\
1 & 2 & 1 \\
3 & 6 & 4
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.7(2)

(iii) \(\left[\begin{array}{ccc}
-1 & -2 & 3 \\
2 & 1 & -4 \\
-1 & 0 & 2
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.7(3)

(iv) \(\left[\begin{array}{ccc}
1 & 0 & 1 \\
2 & -2 & 1 \\
3 & 2 & 4
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.7(4)

Question 8.
Examining consistency and solvability, solve the following equations by matrix method.
(i) x – y + z = 4
2x + y – 3z = 0
x + y + z = 2
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(1)
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(1.1)
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(1.2)

(ii) x + 2y – 3z = 4
2x + 4y – 5z = 12
3x – y + z = 3
Solution:
Let
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(2)
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(2.1)

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

(iii) 2x – y + z = 4
x + 3y + 2z = 12
3x + 2y + 3z = 16
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(3)
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(3.1)

(iv) x + y + z = 4
2x + 5y – 2x = 3
x + 7y – 7z = 5
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(4)
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(4.2)

(v) x + y + z = 4
2x – y + 3z = 1
3x + 2y – z = 1
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(5)
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(5.1)

(vi) x + y – z = 6
2x – 3y + z = 1
2x – 4y + 2z = 1
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(6)
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(6.1)

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

(vii) x – 2y = 3
3x + 4y – z = -2
5x – 3z = -1
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(7)
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(7.1)

(viii) x + 2y + 3z = 14
2x – y + 5z = 15
2y + 4z – 3x = 13
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(8)
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(8.1)

(ix) 2x + 3y +z = 11
x + y + z = 6
5x – y + 10z = 34
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(9)
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.8(9.1)

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

Question 9.
Given the matrices
A = \(\left[\begin{array}{ccc}
1 & 2 & 3 \\
3 & -2 & 1 \\
4 & 2 & 1
\end{array}\right]\), X = \(\left[\begin{array}{l}
x \\
y \\
z
\end{array}\right]\) and C = \(\left[\begin{array}{l}
1 \\
2 \\
3
\end{array}\right]\)
write down the linear equations given by AX = C and solve it for x, y, z by matrix method.
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.9
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.9.1

Question 10.
Find X, if \(\left[\begin{array}{ccc}
1 & 1 & 1 \\
1 & 1 & -1 \\
2 & 1 & -1
\end{array}\right]\) X = \(\left[\begin{array}{l}
6 \\
0 \\
1
\end{array}\right]\) where X = \(\left[\begin{array}{l}
x_1 \\
x_2 \\
x_3
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.10
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.10.1

Question 11.
Answer the following:
(i) If every element of a third order matrix is multiplied by 5, then how many times its determinant value becomes?
Solution:
125

(ii) What is the value of x if \(\left|\begin{array}{ll}
4 & 1 \\
2 & 1
\end{array}\right|^2=,\left|\begin{array}{ll}
3 & 2 \\
1 & x
\end{array}\right|-\left|\begin{array}{cc}
x & 3 \\
-2 & 1
\end{array}\right|\) ?
Solution:
x = 6

(iii) What are the values of x and y if \(\left|\begin{array}{ll}
x & y \\
1 & 1
\end{array}\right|=2,\left|\begin{array}{ll}
x & 3 \\
y & 2
\end{array}\right|=1\) ?
Solution:
x = 5, y = 3

(iv) What is the value of x if \(\left|\begin{array}{ccc}
x+1 & 1 & 1 \\
1 & 1 & -1 \\
-1 & 1 & 1
\end{array}\right|\) = 4?
Solution:
x = 0

(v) What is the value of \(\left|\begin{array}{ccc}
\mathbf{o} & -\mathbf{h} & -\mathbf{g} \\
\mathbf{h} & \mathbf{0} & -\mathbf{f} \\
\mathbf{g} & \mathbf{f} & \mathbf{0}
\end{array}\right|\)?
Solution:
0

(vi) What is the value of \(\left|\begin{array}{l}
\frac{1}{a} 1 \mathrm{bc} \\
\frac{1}{b} 1 c a \\
\frac{1}{c} 1 a b
\end{array}\right|\)
Solution:
0

(vii) What is the co-factor of 4 in the determinant \(\left|\begin{array}{rrr}
1 & 2 & -3 \\
4 & 5 & 0 \\
2 & 0 & 1
\end{array}\right|\)
Solution:
-2

(viii)In which interval does the determinant \(\left|\begin{array}{ccc}
1 & \sin \theta & 1 \\
-\sin \theta & 1 & \sin \theta \\
-1 & -\sin \theta & 1
\end{array}\right|\) lie?
Solution:
[2, 4]

(ix) Ifx + y + z = n, what is the value of Δ = \(\left|\begin{array}{ccc}
\sin (x+y+z) & \sin B & \cos C \\
-\sin B & 0 & \tan A \\
\cos (A+B) & -\tan A & 0
\end{array}\right|\) Where A, B, C are the angles of triangle.
Solution:
0
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.11

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

Question 12.
Evaluate the following determinants:
(i) \(\left|\begin{array}{ccc}
14 & 3 & 28 \\
17 & 9 & 34 \\
25 & 9 & 50
\end{array}\right|\)
Solution:
\(\left|\begin{array}{ccc}
14 & 3 & 28 \\
17 & 9 & 34 \\
25 & 9 & 50
\end{array}\right|\)
= 2\(\left|\begin{array}{ccc}
14 & 3 & 28 \\
17 & 9 & 34 \\
25 & 9 & 50
\end{array}\right|\) = 0
(C1 = C3)

(ii) \(\left|\begin{array}{ccc}
16 & 19 & 13 \\
15 & 18 & 12 \\
14 & 17 & 11
\end{array}\right|\)
Solution:
\(\left|\begin{array}{ccc}
16 & 19 & 13 \\
15 & 18 & 12 \\
14 & 17 & 11
\end{array}\right|\) = \(\left|\begin{array}{ccc}
1 & 1 & 1 \\
1 & 1 & 1 \\
14 & 17 & 11
\end{array}\right|\)
( R1 = R1 – R2, R2 = R2 – R3)
= 0 ( R1 = R2)

(iii) \(\left|\begin{array}{ccc}
224 & 777 & 32 \\
735 & 888 & 105 \\
812 & 999 & 116
\end{array}\right|\)
Solution:
\(\left|\begin{array}{ccc}
224 & 777 & 32 \\
735 & 888 & 105 \\
812 & 999 & 116
\end{array}\right|\)
= 7\(\left|\begin{array}{ccc}
32 & 777 & 32 \\
105 & 888 & 105 \\
116 & 999 & 116
\end{array}\right|\) = 0
(C1 = C2)

(iv) \(\left|\begin{array}{lll}
1 & 1 & 1 \\
2 & 3 & 4 \\
3 & 4 & 6
\end{array}\right|\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.12(4)

(v) \(\left|\begin{array}{ccc}
1 & 2 & 3 \\
3 & 5 & 7 \\
8 & 14 & 20
\end{array}\right|\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.12(5)

(vi) \(\left|\begin{array}{ccc}
1^2 & 2^2 & 3^2 \\
2^2 & 3^2 & 4^2 \\
3^2 & 4^2 & 5^2
\end{array}\right|\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.12(6)
= 225 – 256 – 4(100 – 144) + 9(64 – 81)
= -31 – 4(-44) + 9(-17)
= -31 + 176 – 153 = -184 + 176
= -8

(vii) \(\left|\begin{array}{ccc}
1 & 0 & -5863 \\
-7361 & 2 & 7361 \\
1 & 0 & 4137
\end{array}\right|\)
Solution:
\(\left|\begin{array}{ccc}
1 & 0 & -5863 \\
-7361 & 2 & 7361 \\
1 & 0 & 4137
\end{array}\right|\)
= 2\(\left|\begin{array}{cc}
1 & -5863 \\
1 & 4137
\end{array}\right|\)
(expanding along 2nd column)
= 2(4137 + 5863)
= 2 × 10000 = 20000

(viii) \(\left|\begin{array}{lll}
265 & 240 & 219 \\
240 & 225 & 198 \\
219 & 198 & 181
\end{array}\right|\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.12(8)

(ix) \(\left|\begin{array}{ccc}
0 & a^2 & b \\
b^2 & 0 & a^2 \\
a & b^2 & 0
\end{array}\right|\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.12(9)
= -a2 (0 –  a2) + b (b4 –  0) = a5 + b5

(x) \(\left|\begin{array}{ccc}
a-b & b-c & c-a \\
\boldsymbol{x}-\boldsymbol{y} & \boldsymbol{y}-\boldsymbol{z} & z-\boldsymbol{x} \\
\boldsymbol{p}-\boldsymbol{q} & \boldsymbol{q}-\boldsymbol{r} & \boldsymbol{r}-\boldsymbol{p}
\end{array}\right|\)
Solution:
\(\left|\begin{array}{lll}
a-b & b-c & c-a \\
x-y & y-z & z-x \\
p-q & q-r & r-p
\end{array}\right|\)
= \(\left|\begin{array}{lll}
0 & b-c & c-a \\
0 & y-z & z-x \\
0 & q-r & r-p
\end{array}\right|\) (C1 = C1 + C2 + C3)
= 0 ( C1 = 0)

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

(xi) \(\left|\begin{array}{lll}
a-b & b-c & c-a \\
b-c & c-a & a-b \\
c-a & a-b & b-c
\end{array}\right|\)
Solution:
\(\left|\begin{array}{lll}
a-b & b-c & c-a \\
b-c & c-a & a-b \\
c-a & a-b & b-c
\end{array}\right|\)
= \(\left|\begin{array}{lll}
0 & b-c & c-a \\
0 & c-a & a-b \\
0 & a-b & b-c
\end{array}\right|\) (C1 = C1 + C2 + C3)
= 0

(xii) \(\left|\begin{array}{ccc}
-\cos ^2 \theta & \sec ^2 \theta & -0.2 \\
\cot ^2 \theta & -\tan ^2 \theta & 1.2 \\
-1 & 1 & 1
\end{array}\right|\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.12(12)
(Expanding along 3rd row)
= (-cos2 θ + sec2 θ) (-tan2 θ – 1.2) – (sec2 θ + 0.2) (cot2 θ – tan2 θ)
= sin2 θ – 1.2 cos2 θ – sec2 θ tan2 θ – 1.2 sec2 θ – cosec2 θ +  sec2 θ tan2 θ – 0.2 cot2 θ + 0.2 tan2 θ
= sin2 θ – cosec2 θ + 1.2 (cos2 θ – sec2 θ) + 0.2 (tan2 θ – cot2 θ) ≠ 0
The question seems to be wrong.

Question 13.
If \(\left|\begin{array}{ccc}
1 & 1 & 1 \\
1 & 1+x & 1 \\
1 & 1 & 1+y
\end{array}\right|\) = 0 what are x and y?
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.13
or, xy – 0 = 0 ⇒ xy = 0, ⇒ x = 0, or y = 0

Question 14.
For what value of x \(\left|\begin{array}{ccc}
2 x & 0 & 0 \\
0 & 1 & 2 \\
-1 & 2 & 0
\end{array}\right|\) = \(\left|\begin{array}{lll}
1 & 0 & 0 \\
2 & 3 & 4 \\
0 & 3 & 5
\end{array}\right|\)?
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.14

Question 15.
Solve \(\left|\begin{array}{ccc}
x+a & 0 & 0 \\
a & x+b & 0 \\
a & 0 & x+c
\end{array}\right|\) = 0
Solution:
\(\left|\begin{array}{ccc}
x+a & 0 & 0 \\
a & x+b & 0 \\
a & 0 & x+c
\end{array}\right|\) = 0
or, (x – a) \(\left|\begin{array}{cc}
x+b & 0 \\
0 & x+c
\end{array}\right|\) = 0
or, (x + a) (x + b) (x + c) = 0
x = -a, x = -b, x = -c

Question 16.
Solve \(\left|\begin{array}{lll}
a+x & a-x & a-x \\
a-x & a+x & a-x \\
a-x & a-x & a+x
\end{array}\right|\) = 0
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.16

Question 17.
Solve \(\left|\begin{array}{ccc}
x+a & b & c \\
a & x+b & c \\
a & b & x+c
\end{array}\right|\) = 0
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.17

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

Question 18.
Show that x = 2 is a root of \(\left|\begin{array}{ccc}x & -6 & -1 \\ 2 & -3 x & x-3 \\ -3 & 2 x & x+2\end{array}\right|\) = 0 Solve this completely.
Solution:
Putting x = 2,
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.18
= (x – 1) (-15x + 30 – 5x2 + 10x)
= (x – 1) (-5x2 – 5x + 30)
= -5(x – 1) (x2 + x – 6)
= -5(x – 1) (x + 3) (x – 2) = 0
⇒ x = 1 or, -3 or 2.

Question 19.
Evaluate \(\left|\begin{array}{ccc}
1 & a & b c \\
1 & b & c a \\
1 & c & a b
\end{array}\right|\) – \(\left|\begin{array}{lll}
1 & a & a^2 \\
1 & b & b^2 \\
1 & c & c^2
\end{array}\right|\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.19
= (a – b) (b – c) [(-a + c) – (b + c – a – b)]
= (a – b) (b – c) (-a + c – c + a) = 0

Question 20.
\(\left|\begin{array}{lll}
a & a^2-b c & 1 \\
b & b^2-a c & 1 \\
c & c^2-a b & 1
\end{array}\right|\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.20

Question21.
For what value of X the system of equations
x + y + z = 6, 4x + λy – λz = 0, 3x + 2y – 4z = -5 does not possess a solution?
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.21
= 24 – 6λ – 2λ = 24 – 8λ
when Δ = 0
We have 24 – 8λ, = 0 or, λ = 3
The system of equations does not posses solution for λ = 3.

Question 22.
If A is a 3 × 3 matrix and |A| = 2, then which matrix is represented by A × adj A?
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.22

Question 23.
If A = \(\left[\begin{array}{cc}
0 & -\tan \frac{\alpha}{2} \\
\tan \frac{\alpha}{2} & 0
\end{array}\right]\)
show that (I + A) (I – A)-1 = \(\left[\begin{array}{cc}
\cos \alpha & -\sin \alpha \\
\sin \alpha & \cos \alpha
\end{array}\right]\) where I = \(\left[\begin{array}{ll}
1 & 0 \\
0 & 1
\end{array}\right]\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.23
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.23.1

Question 24.
Prove the following:
(i) \(\left|\begin{array}{ccc}
a^2+1 & a b & a c \\
a b & b^2+1 & b c \\
a c & b c & c^2+1
\end{array}\right|\) = 1 + a2 + b2 + c2
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.24(1)

(ii) \(\left|\begin{array}{ccc}
1 & 1 & 1 \\
a & b & c \\
a^3 & b^3 & c^3
\end{array}\right|\) = (b – c) (c – a) (a – b) (a + b + c)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.24(2)
= (a – b) (b – c) (b2 + bc + c2 – a2 – ab – b2)
= (a – b) (b- c) (c2 – a2 + bc – ab)
= (a – b) (b – c) {(c – a) (c + a) + b(c – a)}
= (a – b) (b – c) (c – a) (a + b + c) = R.H.S.
(Proved)

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

(iii) \(\left|\begin{array}{lll}
\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\
\boldsymbol{b} & \boldsymbol{c} & \boldsymbol{a} \\
\boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b}
\end{array}\right|\) = 3abc – a3 – b3 – c3
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.24(3)
= (a + b + c) {(b – c) (a – b) – (c – a)2}
= (a + b + c) (a + b + c) (ab – b2 – ca + bc – c2 – a2 + 2ca)
= (a + b + c) (-a2 – b2 – c2 + ab + bc + ca)
= -(a + b + c) (a2 + b2 + c2 – ab – bc – ca)
=- (a3 + b3 + c3 – 3abc)
= 3abc – a3 – b3 – c3

(iv) \(\left|\begin{array}{lll}
b^2-a b & b-c & b c-a c \\
a b-a^2 & a-b & b^2-a b \\
b c-a c & c-a & a b-a^2
\end{array}\right|\) = 0
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.24(4)
= (b2 – a2 + bc – ac) (a – b) {(-a + b) (c – a) – (bc – ac – ab + a2)}
= (b2 – a2 + bc – ac) (a – b) (- ca + a2 + bc – ab – bc + ac + ab – a2)
= (b2 – a2 + bc – ac) (a – b) × 0 = 0
= R.H.S.
(Proved)

(v) \(\left|\begin{array}{ccc}
-a^2 & a b & a c \\
a b & -b^2 & b c \\
a c & b c & -c^2
\end{array}\right|\) = 4a2b2c2
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.24(5)

(vi) \(\left|\begin{array}{lll}
(b+c)^2 & a^2 & b c \\
(c+a)^2 & b^2 & c a \\
(a+b)^2 & c^2 & a b
\end{array}\right|\) = (a2 + b2 + c2 ) (a + b + c) (b – c) (c – a) (a – b)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.24(6)
= (a – b) (b – c) (a2 + b2 + c2) (-a2 – ab + bc + c2)
= (a – b) (b – c) (a2 + b2 + c2) {(c2 – a2) + b(c – a)}
= (a2 + b2 + c2) (a – b) (b – c) (c – a) (c + a + b)

(vii) \(\left|\begin{array}{lll}
b+c & a+b & a \\
c+a & b+c & b \\
a+b & c+a & c
\end{array}\right|\) = a3 + b3 + c3 – 3abc
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.24(7)
= (a + b +c) {(a – b) (a – c) – (c – b) (b – c)}
= (a + b + c) (a2 – ac – ab + bc – bc + c2 + b2 – bc)
= (a + b + c) (a2 + b2 + c2 – ab – bc – ca)
= (a3 + b3 + c3 – 3abc)

(viii) \(\left|\begin{array}{ccc}
a+b+c & -c & -b \\
-c & a+b+c & -a \\
-b & -a & a+b+c
\end{array}\right|\) = 2(b + c) (c + a) (a + b)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.24(8)
= -2(a + b) (b + c) (-a – b – c + b)
= 2(a + b) (b + c) (c + a)

(ix) \(\left|\begin{array}{ccc}
a x-b y-c z & a y+b x & a z+c x \\
b x+a y & b y-c z-a x & b z+c y \\
c x+a z & a y+b z & c z-a x-b y
\end{array}\right|\) = (a2 + b2 + c2) (ax + by + cz) (x2 + y2 + z2)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.24(9)
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.24(9.1)

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

Question 25.
If 2s = a + b + c show that \(\left|\begin{array}{ccc}
a^2 & (s-a)^2 & (s-a)^2 \\
(s-b)^2 & b^2 & (s-b)^2 \\
(s-c)^2 & (s-c)^2 & c^2
\end{array}\right|\) = 2s3 (s – a) (s – b) (s – c)
Solution:
Let s – a = A, s – b = B, s – c = C
A + B + C = 3s – (a + b + c)
= 3s – 2s = s
Also B + C = s – b + s – c = 2s – (b + c)
= (a + b + c) – b + c = a
Similarly C + A = b, A + B = c
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.25
= 2 ABC (A + B + C)2
[Refer Q.No.9 (xii) of Exercise 5(a)]
= 2(s – a) (s – b)(s – c) s3

Question 26.
if \(\left|\begin{array}{ccc}
x & x^2 & x^3-1 \\
y & y^2 & y^3-1 \\
z & z^2 & z^3-1
\end{array}\right|\) = 0 then prove that xyz =1 when x, y, z are non zero and unequal.
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.26
= (x – y) (y – z) (z – x) (xyz – 1)
It is given that
(x – y) (y – z) (z – x) (xyz – 1) = 0
⇒ xyz – 1 (as x ≠ y ≠ z)

Question 27.
Without expanding show that the following determinant is equal to Ax + B where A and B are determinants of order 3 not involving x.
\(\left|\begin{array}{ccc}
x^2+x & x+1 & x-2 \\
2 x^2+3 x-1 & 3 x & 3 x-3 \\
x^2+2 x+3 & 2 x-1 & 2 x-1
\end{array}\right|\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.27

Question 28.
If x, y, z are positive and are the pth, qth and rth terms of a G.P. then prove that \(\left|\begin{array}{lll}
\log x & p & 1 \\
\log y & q & 1 \\
\log z & r & 1
\end{array}\right|\) = 0
Solution:
Let the G.P. be
a, aR, aR2, aR3 …..aRn-1
p th term = aRp-1
q th term = aRq-1
r th term = aRr-1
x = aRp-1, y= aRq-1, z = aRr-1
log x = log a + (p – 1) log R,
log y = log a + (q – 1) log R,
log z = log a + (r – 1) log R
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.28

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

Question 29.
If Dj = \(\left|\begin{array}{ccc}
j & a & n(n+2) / 2 \\
j^2 & b & n(n+1)(2 n+1) / 6 \\
j^3 & c & n^2(n+1)^2 / 4
\end{array}\right|\) then prove that \(\sum_{j=1}^n\)Dj = 0.
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.29

Question 30.
Ifa1, a2,……an are in G.P. and ai > 0 for every i, then find the value of
\(\left|\begin{array}{ccc}
\log a_n & \log a_{n+1} & \log a_{n+2} \\
\log a_{n+1} & \log a_{n+2} & \log a_{n+3} \\
\log a_{n+2} & \log a_{n+3} & \log a_{n+4}
\end{array}\right|\)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.30

Question 31.
If f(x)= \(\left|\begin{array}{ccc}
1+\sin ^2 x & \cos ^2 x & 4 \sin ^2 x \\
\sin ^2 x & 1+\cos ^2 x & 4 \sin 2 x \\
\sin ^2 x & \cos ^2 x & 1+4 \sin ^2 x
\end{array}\right|\) what is the least value of f(x)?
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.31
As minimum value of sin 2x is 0. So the minimum value of above function f(x) is 2.

Question 32.
If fr(x), gr(x), hr(x), r = 1, 2, 3 are polynomials in x such that fr(a) = gr(a) = hr(a) and
F(x) = \(\left[\begin{array}{lll}
f_1(x) & f_2(x) & f_3(x) \\
g_1(x) & g_2(x) & g_3(x) \\
h_1(x) & h_2(x) & h_3(x)
\end{array}\right]\) find F'(x) at x = a.
Solution:
We have
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.32
[Since f1a) = g1(a) = h1(a), f2(a) = g2(a) = h2(a) and f3(a) = g3(a) = h3(a) So that each determinant is zero due to presence of two identical rows.]

CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b)

Question 33.
If f(x) = \(\left[\begin{array}{ccc}
\cos x & \sin x & \cos x \\
\cos 2 x & \sin 2 x & 2 \cos 2 x \\
\cos 3 x & \sin 3 x & 3 \cos 3 x
\end{array}\right]\) find f'(\(\frac{\pi}{2}\)).
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 5 Determinants Ex 5(b) Q.33

BSE Odisha 7th Class English Solutions Follow-Up Lesson 7 Silver

Odisha State Board BSE Odisha 7th Class English Solutions Follow-Up Lesson 7 Silver Textbook Exercise Questions and Answers.

BSE Odisha Class 7 English Solutions Follow-Up Lesson 7 Silver

BSE Odisha 7th Class English Follow-Up Lesson 7 Silver Text Book Questions and Answers

Session – 1

I. Pre-Reading

  • Socialization:
  • You have read the poem Cobweb’. You have seen how a poem is made of a simple sight – the sight of a cobweb on telephone wires. The poem ends with moon — how the moon turns the cobweb into magic white. Now we’ll read. enjoy and see how again a poem is made out of a ver common sight — the moonlit night. Let’s read the poem.

( ତମେ ‘ବଢିଆଣୀ ଜାଲ’ କବିତାଟି ପଢ଼ିଲ । ଜାଣିଲ କିଭଳି ସାଧାରଣ ଦୃଶ୍ୟକୁ କବିତାରେ ସଜାଇ ଦିଆଯାଏ – ଯେପରି ଟେଲିଫୋନ ତାରକୁ ଘେରି ରହିଥ‌ିବା ବୁଢ଼ିଆଣୀ ଜାଲ । କବିତାଟି ଚନ୍ଦ୍ର ଶବ୍ଦରେ ପରିସମାପ୍ତ ହୋଇଛି – ଜହ୍ନ ଆଲୁଅ କିଭଳି ବୁଢ଼ିଆଣୀ ଜାଲକୁ ଯାଦୁକରୀ ଶୁଭ୍ର ରଙ୍ଗରେ ରଞ୍ଜିତ କରିଦେଉଛି । ବର୍ତ୍ତମାନ ଚାଲ ପଢ଼ିବା, ଉପଭୋଗ କରିବା ଏବଂ ଦେଖବା କିଭଳି ଏକ ସାଧାରଣ ଦୃଶ୍ୟରୁ ଆଉ ଏକ କବିତା ରଚନା କରାଯାଇଛି – ଚନ୍ଦ୍ରାଲୋକିତ ରଜନୀ । ଚାଲ କବିତାଟିକୁ ପାଠ କରିବା ।)

BSE Odisha 7th Class English Solutions Follow-Up Lesson 7 Silver

II. While Reading

Text

• Read the poem silently and answer the questions that follow.
( କବିତାଟିକୁ ନୀରବରେ ପାଠ କର ଏବଂ ନିମ୍ନ ପ୍ରଶ୍ନଗୁଡ଼ିକର ଉତ୍ତର ଦିଅ । )

Slowly, silently, now the moon
Walks the night in her silver shoon;

This way, and that, she peers, and sees
Silver fruit upon silver trees;

One by one the casements catch
Her beams beneath the silvery thatch;

Read the poem silently and answer the questions that follow the sliver

Couched in his kennel, like a log.
With paws of silver sleeps the dog;

From their shadowy cote the white breasts peep
Of doves in a silver-feathered sleep;

A harvest mouse goes scampering by.
With silver claws, and silver eye;

And moveless fish in the water gleam,
By silver reeds in a silver stream.

Walter de la Mare

ଧୀରେ ଧୀରେ ନୀରବରେ ଚାଲିଥାଏ ଜହ୍ନ
ରାତିସାରା ଚାଲିଥାଏ ଶୁଭ୍ର ଜୋତା ପରିଧାନ କରି;

ରାତ୍ରିସାରା ଚାଲିଥାଏ ଶୁଭ୍ର ଜୋତା ପରିଧାନ କରି;
ଏବଂ ଦେଖେ ଶୁଭ୍ର ଫଳସବୁ ସଫେଦ ବୃକ୍ଷରେ;

ଏକ ପରେ ଏକ ବାତାୟନ | ଝରକା ପଥରେ
ପ୍ରବେଶ ତା’ର କିରଣ ଚାଳକୁ ତ ସଫେଦ ବନାଇ;

ପଡ଼ି ରହିଥାଏ ତ କୁକୁର କାଠଗଣ୍ଡି ତୁଲ୍ୟ ତା’ କୋଠିରେ
ଶୋଇରହେ ଊର୍ଦ୍ଧ୍ୱମୁଖୀ ପଞ୍ଝା ତା’ ସଫେଦ ସଜରେ ବନେଇ;

ଛାୟାଯୁକ୍ତ ପର ଦେହ ଉଙ୍କିମାରେ ଧବଳ ହିଆରେ
କପୋତଟି ଶୋଇ ରହେ ଧବଳ ପର-ପରଦାର ତଳେ;

ଅମଳ ବେଳର ମୂଷା ଧାଇଁଯାଏ ଦ୍ରୁତ ପଦଚାଳି
ରୂପେଲି ପଞ୍ଝା ଏବଂ ରୂପେଲି ଚାହାଣି ସମ୍ଭାଳି;

ନିସ୍ତେଜ ମାଛମାନେ ଜଳ ତଳେ ଚକ୍ରଚକ୍ କାତି ଝଲସାଇ
ଥାଆନ୍ତି ତ ରମେଲି ତଣ ଏବଂ ରୁପେଲି ଝରଣା ହସାଇ ।

BSE Odisha 7th Class English Solutions Follow-Up Lesson 7 Silver

Notes And Glossary
moon (ମୁନ୍) – ଜହ୍ନ
shoon (ସୁନ୍) – ଯୋତା
peer – ଖୋଜିବା ପରି
silver (ସିଲଭର) – ରୂପେଲି
casement (କେସ୍‌ମେଣୁ) – ଝରକା
beams (ବିମ୍ସ) – ଆଲୋକ | କରଣ
beneath (ବି) – ତଳେ
thatch (ଥ୍ୟାଚ୍) – ମୋଟା କେଶ
couched (କାଉଚ) – ଶୋଇ ରହିଥିଲା
kennel (କେନେଲ୍) – କୁକୁର ରହିବା ଘର
log (ଲଗ) – କାଠଗଣ୍ଡି
paws (ପଢ) – ଖାବଲ୍
breasts (ବ୍ରେଷ୍ଟସ୍) – ଛାତିସବୁ
Peep (ପିପ୍) – ଦେଖୁଛି |
doves (ଡୋଭସ୍) – କପୋତସବୁ
feather (ଫ୍ଲିଦର) – ପର/ଡେଣା
harvest (ହାରଭେଷ୍ଟ) – ଅମଳ/ଉତ୍ପାଦନ
mouse (ମାଉସ୍) – ମୂଷା
scamper (ସ୍କାମ୍ପର) – ତରବର ହୋଇ ଚାଲିଯିବା
claws (କ୍ଲଜ୍) – ଅପେକ୍ଷା କର
moveless (ମୁଭେସ୍) – ସ୍ଥିର
gleam (ଗ୍ଲିମ୍ ) – ଚକ୍‌କ୍ କରୁଥୁବା
reeds (ରିଡ଼ସ) – ଜଳାଶୟ କୂଳରେ ଥିବା ଘାସ

Follow the steps of the main lesson. ( ମୂଳପାଠ୍ୟର ସୋପାନଗୁଡ଼ିକୁ ଅନୁସରଣ କର ।)

Comprehension Questions

Question 1.
What is the poem about?
( କବିତାଟି କେଉଁ ବିଷୟରେ ?)
Answer:
The poem is about the moon.

Question 2.
How does the moon walk?
(ଜହ୍ନ କିପରି ପଦଚାଳନା କରେ ?)
Answer:
The moon walks very slowly and silently the whole night. She wears silver shoes while walking.

Question 3.
“Shoon” is an old word for “shoe”. Why does the shoe look like silver?
(‘Shoon’ ‘Shoe’ ର ପ୍ରାଚୀନ ଶବ୍ଦ । ଜୋତା କାହିଁକି ରୂପେଲି | ସଫେଦ ପ୍ରତୀୟମାନ ହୁଏ ?)
Answer:
The beams of the moon is silvery. So the moon appears to wear shoes of silver.

Question 4.
How is ‘peer’ slightly different from ‘see’ ? See the dictionary?
(‘Peer’ (ଉଙ୍କି ମାରିବା) ‘see’ (ଦେଖ‌ିବା) ଠାରୁ ଅଳ୍ପ ଟିକିଏ ଅଲଗା କିପରି ? ଶବ୍ଦକୋଷ ଦେଖୁ ସ୍ଥିର କର ।)
Answer:
Peer means look searchingly while see means perceive with eyes.

Question 5.
What does the moon see first?
(ଜହ୍ନ ପ୍ରଥମେ କ’ଣ ଦେଖେ ?)
Answer:
First, the moon sees the silver fruit upon silver trees.

BSE Odisha 7th Class English Solutions Follow-Up Lesson 7 Silver

Question 6.
Why do the fruit and tree look silvery?
(କାହିଁକି ଗଛର ଫଳ ଏବଂ ନିଜେ ଗଛ ରୂପେଲି ଦେଖାଯାଏ ?)
Answer:
The moon beam falls on the trees and fruit and turns them into silvery.

Question 7.
Casement’ is an old word for ’window’ and ’ beneath’ is an old word for ’below’. Where are the windows?
(‘Casement’ ‘window’ ର ଏବଂ ‘beneath’ ‘below’ ର ପ୍ରାଚୀନ ଶବ୍ଦ । ଝରକାସବୁ କେଉଁଠି ଥାଏ ? )
Answer:
The windows are below the silvery thatch.

Question 8.
Where does the dog sleep?
(କୁକୁରଟି କେଉଁଠି ଶୁଏ ? )
Answer:
The dog sleeps in its kennel.

Question 9.
The dog sleeps like a log- a piece of wood. What does this tell about the dog’s sleep?
(କୁକୁରଟି ଖଣ୍ଡେ କାଠଗଣ୍ଡି ଭଳି ଶୋଇ ରହିଥାଏ । ଏହା କୁକୁରର ସୁପ୍ତି (ଶୋଇବା) ବାବଦରେ କ’ଣ କହେ ?)
Answer:
“The dog sleeps like a log”. This expression shows that the dog is in deep sleep. It is seen like a log is lying.

Question 10.
Why do its paws look silvery?
(ତାହାର (କୁକୁରର) ପଞ୍ଝା କାହିଁକି ରୂପେଲି ଦିଶେ ?)
Answer:
When the white moonbeam falls on the paws of the dog, they look like silvery.

Question 11.
Can you guess why the dog does not look silvery?
(ଅନୁମାନ କରିପାରିବ କି କାହିଁକି କୁକୁର ରୂପେଲି ଦେଖାଯାଏ ନାହିଁ ?)
Answer:
The dog was inside the kennel but his paws were outside the kennel. So the moonbeams reflect on his paws not on its body. So the dog does not look silvery.

Question 12.
Where does the dove sleep?
(କପୋତ କେଉଁଠି ଶୁଏ ?)
Answer:
The dove sleeps in its shadowy cote.

Question 13.
The breast of the dove peeps out. Silver-feather sleep – the feather looks silvery. What about the head of the dove? Can you think how the dove is sleeping?
(କପୋତର ଛାତି ବାହାରକୁ ଉଙ୍କିମାରେ । ରୂପେଲି ପର ତଳେ ନିଦ୍ରା- ପରସବୁ ରୂପେଲି ଦେଖାଯାଏ । କମୋଦର ମଣ୍ଡ କିଭଳି ଦେଖାଯାଏ ? ଚିନ୍ତା କରିପାରଛ ତ କପୋତ କିଭଳି ଶୋଇଛି ? )
Answer:
The dove in its shadowy cote sleeps keeping its breast out. Its head is hidden inside its feather.

Question 14.
Who goes scampering by (running very fast)?
(କିଏ ତରବର ହୋଇ ଦୃତଗତିରେ ଚାଲିଯାଏ ? )
Answer:
A harvest mouse goes scampering by.

Question 15.
Everyone is asleep. Why is the mouse awake?
(ପ୍ରତ୍ୟେକ ଶୟନରତ । ମୂଷା କାହିଁକି ଜାଗ୍ରତ ଥାଏ ?)
Answer:
Everyone is asleep in the cool moon light, but the mouse is awake. Because it collects its food in silent night.

BSE Odisha 7th Class English Solutions Follow-Up Lesson 7 Silver

Question 16.
Why does the fish gleam (dazzle)?
(ମାଛମାନେ କାହିଁକି ଚକ୍‌କ୍ ଦିଶନ୍ତି ?)
Answer:
When the moon light falls on moveless fish, it looks white.

Question 17.
Where is the fish?
(ମାଛସବୁ କେଉଁଠି ଥାଆନ୍ତି ?)
Answer:
The fish is in the stream water.

Question 18.
When everyone is asleep, why is the poet awake?
(ଯେତେବେଳେ ସମସ୍ତେ ଶୋଇ ରହିଥାନ୍ତି, କବି ସେତେବେଳେ କାହିଁକି ଜାଗ୍ରତ ଥାଆନ୍ତି ?)
Answer:
When everybody is asleep, the poet is awake because he wants to watch the natural beauty in the moonlit night.

Session – 2

III. Post-Reading

1. Comprehension Activities

(a) MCQs: Fill in the blanks from the alternatives given

Question 1.
The moonlight first falls on _____________?
(A) dog
(B) dove
(C) fish
(D) tree
Answer:
(D) tree

Question 2.
At last the moonlight falls on ____________?
(A) fruits
(B) fish
(C) dog
Answer:
(B) fish

BSE Odisha 7th Class English Solutions Follow-Up Lesson 7 Silver

Question 3.
Round the word which is on odd one out?
(i) window, thatch, tree, dog
(ii) fish, dove, mouse, fruit
Answer:
(i) dog
(ii) fruit

(b) Match the items under A with items under B. (Question with Answer)

Match the items under A with items under B

Answer:

Match the items under A with items under B Answer

Session – 3

2. Vocabulary

(a) Learn the spelling of the following words using the four steps method- Look > Cover > Write > Verify
beam, peer, harvest, kennel, cote, claws, stream
(b) Solve the following crossword puzzle. Use the clues given. (Question with Answer)

Solve the following cross word puzzle. Use clues given

Answer:

Solve the following cross word puzzle. Use clues given Answer

Down: Across :
1. In silver feathered sleep
2. Like a log
3. Moveless
4. Goes scampering by

BSE Odisha 7th Class English Solutions Follow-Up Lesson 7 Silver

Session – 4

3. Writing:

(a) In 2(b), you have already matched items under A with items under B. Now write four sentences joining the items with ‘is’, the first one is done for you.
Fish + silver reeds in silver stream.
1. The fish is by silver reeds in silver stream.
2. The dog is couched in his kennle like a log.
3. The mouse is with silver clause and silver eye.
4. The dove is in silver feathered sleep.

(b) You can summarise the poem using only one type of sentence. Write as many sentences of this type as you can. The first one is done for you using
the word ‘tree’ given in the bracket, (trees, fruits, window, dog ………………..)
1. The moonlight falls on the tree and it looks silvery.
Answer:
2. The moonlight falls on the fruits and they look silvery.
3. The moonlight falls on the window and it looks silvery.
4. The moonlight falls on the paws of the dog and they look silvery.
5. The moonlight falls on the white breast of the dove and it looks silvery.
6. The moonlight falls on the claws of the mouse and they look silvery.
7. The moonlight falls on the stream water and it looks silvery.

(c) Answer the following questions.

Question 1.
What is the poem about?
Answer:
The poem is about the moon.

Question 2.
What does the moon see first?
Answer:
The moon sees the silver fruit upon silver trees first.

Question 3.
Where does the dog sleep?
Answer:
The dog sleeps in its kennel.

Question 4.
Where does the dove sleep?
Answer:
The dove sleeps in its shadowy cote.

Question 5.
Who goes scampering by?
Answer:
A harvest mouse goes scampering by under the moonlight.

Question 6.
Where is the fish?
Answer:
The fish is by the silver stream with reeds on its bank.

BSE Odisha 7th Class English Solutions Follow-Up Lesson 7 Silver

Notes And Glossary
beneath (ବିନିଥ୍) – under (ତଳେ)
casements (କେସ୍‌ମେଣ୍ଟ୍‌ସ୍) – windows (ଝରକା)
ceaseless (ସିକ୍‌ସ୍) – non-stop, without rest (ଅହରହ )
cobwebs (କୋବଓ୍ବେବ) – spider net (ବୁଢ଼ିଆଣୀ ଜାଲ)
couched (କୋଚ୍) – slept (ଶୋଇ ରହିଥିବା )
gleam (ଗ୍ଲିମ୍ ) – shine (ଝଲସୁଥିବା ବା ଚକ୍‌କ୍ କରୁଥୁବା)
kennel (କେନେଲ୍,) – small shelter for a dog (କୁକୁର ରହିବା ଘର)
peers (ପିଅର୍ସ୍) – to look (ଖୋଜିବା ପରି ଦେଖିବା)
pours (ପୋର୍‌ସ୍) – gives in plenty (ଢାଳିବା, ବହୁପରିମାଣରେ ଦେବା)
reeds (ରିଡ୍‌ସ୍) – grass like water plants (ନଦୀ ଝରଣା କୂଳରେ ଥିବା)
scampering (ସ୍କାମ୍ପରଇ) – moving quickly, running (ତରବରିଆ ଭାବେ)
shadowy cote (ସାଡୋ କୋଟ୍) – (here) less bright wings of the dove (ଅସ୍ପଷ୍ଟ)
shoon (ସୁନ୍) – shoe (ଜୋତା)
silver feathered (ସିଲଭର୍ ଫିଦର୍‌ଡ୍) – feathers look like silver colour (ଦେଖାଯାଉଥ‌ିବା ପର)
spider (ସ୍କାଇଡର) – web spinning insect (ବୁଢ଼ିଆଣୀ)
spindles (ସିଣ୍ଡଲ୍‌ – here, spider’s weaving instrument (ପ୍ରାକୃତିକ ତାକୁଡ଼ି)
stretch (ଷ୍ଟେଟ୍) – long and continuous (ବିସ୍ତାରିତ ହୋଇଥିବା)
thatch – roof of straw (ଚାଳ ଛପର)
weaver (ୱିଭର୍) – one who weaves thread / cloth (ବୁଣାଳି, ଲୁଗା)

BSE Odisha 7th Class English Solutions Follow-Up Lesson 7 Silver Important Questions and Answers

(A) Choose the right answer from the options.

Question 1.
The moon walks in the sky?
(a) silently
(b) slowly
(c) speedily
(d) hopingly
Answer:
(b) slowly

Question 2.
While walking the moon wears?
(a) silver shoes
(b) black shoes
(c) grey shoes
(d) red shoes
Answer:
(a) silver shoes

BSE Odisha 7th Class English Solutions Follow-Up Lesson 7 Silver

Question 3.
The moon is personified as a _____________?
(a) boy
(b) girl
(e) lady
(d) old lady
Answer:
(c) Lady

Question 4.
The dog sleeps in ______________?
(a) its house
(b) its kennel
(c) its stay
(d) its stable
Answer:
(b) its kennel

Question 5.
The breast of the dove looks silvery?
(a) it is naturally white,
(b) somebody paints it white
(c) the moonbeam falls on it.
(d) none of these
Answer:
(c) The moonbeam falls on it.

Question 6.
The poem is by _______________?
(a) W. Wordsworth
(b) Robert Frost
(c) Walter de la Mare
(d) none of these
Answer:
(c) Walter de la Mare

(B) Answer the following questions.

Question 1.
How does the moon walks?
Answer:
The moon walks slowly wearing silver shoes on her feet.

BSE Odisha 7th Class English Solutions Follow-Up Lesson 7 Silver

Question 2.
Why does every object of nature looks white?
Answer:
Every object of nature looks white because the white moon beam falls on them.

BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs

Odisha State Board BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs Textbook Exercise Questions and Answers.

BSE Odisha Class 7 English Solutions Lesson 7 Cobwebs

BSE Odisha 7th Class English Lesson 7 Cobwebs Text Book Questions and Answers

Session – 1

I. Pre-Reading

  • Socialization (ସାମାଜିକୀକରଣ) :
  • Look at the following pictures, ( ନିମ୍ନ ଚିତ୍ରଗୁଡ଼ିକୁ ଧାନର ସହିତ ଲକ୍ଷ୍ୟକର ।)
  • Are they very common? ( ସେଗୁଡ଼ିକ ଅତି ସାଧାରଣ କି’ ?)

Ans. Yes, they are vey common bee in flower, mouse, a bird, a dog and a cat, branch of a flower tree etc.

Look at the following pictures

Is it possible to write poems on such common topics like dog, cat, mouse, rose, cuckoo, etc?
(ସାଧାରଣ ବିଷୟକୁ ନେଇ ଯଥା- କୁକୁର, ବିଲେଇ, ମୂଷା, ଗୋଲାପ, କୋଇଲି ଉପରେ କବିତା ଲେଖିବା ସମ୍ଭବ କି ? )
Answer:
Yes, it is possible to write poems on such common topics like dog, cat, mouse, rose, cuckoo etc. Poets have written many poems on these and many other very common themes.
(କବିମାନେ ଅନେକ କବିତା ଏଗୁଡ଼ିକ ଉପରେ ତଥା ଅନ୍ୟ ସାଧାରଣ ବିଷୟକୁ ନେଇ ଲେଖୁ ସାରିଛନ୍ତି ।)

See The other picture below. What is this picture? Can you guess the topic of this poem?
(ନିମ୍ନସ୍ଥ ଛବିଟିକୁ ଦେଖ । ଛବିଟି କ’ଣ ? ତୁମେ କ’ଣ ଏହି କବିତାର ବିଷୟବସ୍ତୁକୁ ଅନୁମାନ କରିପାରୁଛ ? )
Answer:
This is a picture of a spider. The topic of this poem is possibly the skill of a spider.

Isn’t it also a very common sight?
(ଏହା ମଧ୍ୟ ଏକ ସାଧାରଣ ଦୃଶ୍ୟ ନୁହେଁ କି ?)
Answer:
Yes, it is a common sight that a spider weaves a cobweb to catch its prey (ଶିକାର)

Let’s read this poem and see how poets write poems on these common themes.
(ଚାଲ ଏହି କବିତାଟିକୁ ପଢ଼ିବା ଏବଂ ଦେଖିବା କବିମାନେ କିପରି ସାଧାରଣ ବିଷୟବସ୍ତୁକୁ ନେଇ କବିତା ଲେଖନ୍ତି ।)

BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs

II. While-Reading

Read the poem silently and answer the questions that follow.
(କବିତାଟିକୁ ନୀରବରେ ପାଠ କର ଏବଂ ନିମ୍ନ ପ୍ରଶ୍ନଗୁଡିକର ଉତ୍ତର ଦିଅ ।)

Read the poem silently and answer the questions that follow

The long stretch of cobwebs
on telephone wires
look white
like the weaver’s unfinished clothes
at the work site.

The busy spiders
with their ceaseless spindles
Weave day and night.

The selling sun
pours into them
colours or rainbow bright.

Read the poem silently and answer the questions that following

But the moon
turns theni
into magic white

The long stretch of cobwebs “‘r
on telephone wires
look white
like the weaver’s unimnished clothes
at the work site.

ଓଡ଼ିଆ ଅନୁବାଦ :
ଲମ୍ବ ବିସ୍ତାରିତ ସେହି ବୁଢ଼ୀଆଣୀ ଜାଲ
ଦୂରଭାସ ଯନ୍ତ୍ର ତାର ଉପରେ
ଦିଶଇ ଧବଳ
ଯେପରିକି ତନ୍ତୀର ସେ ଅସମାପ୍ତ ବସ୍ତ୍ର
ଲାଖୁଥାଏ କମ କ୍ଷେତ୍ରେ ତା’ର

ବ୍ୟସ୍ତ | କାର୍ଯ୍ୟରତ ବୁଢ଼ିଆଣୀ ସବୁ
ଅବରତ ସହିତ ଉପରେ
ବୁଣୁଥା’ନ୍ତି (ବସ୍ତ୍ର) ଦିବା ଆଉ ରାତ୍ର ।

ଅସ୍ତଗ।ମା ସୂର୍ୟ୍ୟ
ଢାଳେ ତା’ ଉପରେ
ଇନ୍ଦ୍ରଧନୁର ରଙ୍ଗିନ ଉଜ୍ଜ୍ବଳ ଆଲୋକ

କିନ୍ତୁ ଜହ୍ନ ଯେବେ ତା’ ଉପରେ
ଭରିଦିଏ ଶୁଭ୍ରତା ଭାସେ ଜାଦୁର ।

ଲମ୍ବ ବିସ୍ତାରିତ ସେହି ବୁଢ଼ିଆଣୀ ଜାଲ
ଦୂରଭାସ ଯନ୍ତ୍ର ତାର ଉପରେ
ଦିଶଇ ଧବଳ
ଯେପରିକି ତନ୍ତୀର ସେ ଅସମାପ୍ତ ବସ୍ତ୍ର
ଲାଖୁଥାଏ କର୍ମକ୍ଷେତ୍ରେ ତା’ର ।

Notes And Glossary
stretch (ଷ୍ଟେଟ୍) – ବିସ୍ତାରିତ
cobweb (କବ୍‌) – ବୁଢ଼ୀଆଣୀ ଜାଲ
spider (ସ୍ପାଇଡ଼ର୍) – ବୁଢ଼ୀଆଣୀ
weaver (ଓଭର) – ବୁଣୀଲ।
wires (ଓୟାରସ୍) – ତାର ସବୁ
ceaseless (ସିସ୍) – ନିରନ୍ତର
spindles (ସିଣ୍ଡଲ୍‌ସ୍) – ତାକୁଡ଼
rainbow (ରେନ୍‌ବୋ) – ଇନ୍ଦ୍ରଧନୁ

BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs

  • Your teacher reads the poem aloud and you listen to him/her.
    ( ତମ ଶିକ୍ଷକ କବିତାଟିକ ଉଚ୍ଚସ୍ତରରେ ପଢ଼ିବେ ଏବଂ ତୁମେ ତାଙ୍କୁ ଶୁଣବ ।)
  • Your teacher reads the poem aloud, you listen to him/her and at the same time see the text.
    (ତୁମ ଶିକ୍ଷକ କବିତାଟିକୁ ଉଚ୍ଚସ୍ବରରେ ପାଠ କରିବେ ଏବଂ ତୁମେ ସେହି ସମୟ ତାଙ୍କ ଶଣିବା ସହିତ ପାଠ୍ୟପୁସ୍ତକ ଦେଖୁବ ।)
  • You read the poem silently.
    ( ତମେ କବିତାଟିକ ନୀରବରେ ପାଠ କର ।)

Comprehension Questions

Question 1.
What is the poem about?
( କବିତାଟି କେଉଁ ବିଷୟରେ ? )
Answer:
The poem is about the cobwebs.

Question 2.
Where is the cobweb?
(ବୁଢ଼ିଆଣୀ ଜାଲଟି କେଉଁଠି ଅଛି ? )
Answer:
The cobweb is on telephone wires.

Question 3.
Is it in small pieces or in very long pieces?
(ଏହା କ’ଣ ଛୋଟ ନା ଖୁବ୍ ଲମ୍ବ ଖଣ୍ଡ ?)
Answer:
The cobweb is in very long pieces.

Question 4.
Which words tell you so?
(କେଉଁ ଶବ୍ଦପୁଞ୍ଜ ତୁମକୁ ଏହା କହୁଛି ?)
Answer:
The phrase “the long stretch of cobwebs” tells us so.

Question 5.
What is the colour of the cobweb on telephone wires?
( ଦୂରଭାସ ( ଟେଲିଫୋନ୍) ତାର ଉପରେ ଥ‌ିବା ବୁଢ଼ିଆଣୀ ଜାଲର ରଙ୍ଗ କିପରି ?)
Answer:
The colour of the cobweb on the telephone wires is white.

BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs

Question 6.
The long stretch of cobweb is like a?
(ଲମ୍ବ ବିସ୍ତାରିତ ବୁଢ଼ିଆଣୀ ଜାଲ ଭଳି ।)
Answer:
The long stretch of cobweb is like the weaver’s unfinished clothes.

Question 7.
Where is the unfinished cloth ? Who weaves the cloth?
(ଅସମାପ୍ତ ବୁଣା ବସ୍ତ୍ର କେଉଁଠି ଅଛି ? କିଏ ବସ୍ତ୍ର ବୁଣେ ?)
Answer:
The unfinished clothe is at the worksite. The weaver weaves the cloth.

Question 8.
Why are the spiders busy?
(ବୁଢ଼ିଆଣୀମାନେ ବ୍ୟସ୍ତ ଅଛନ୍ତି କାହିଁକି ?)
Answer:
The spiders are busy weaving the cobwebs day and night with their ceaseless spindles.

Question 9.
What is the meaning of ‘spindle’? Have you seen a spindle? Who uses the spindle? (See the word note)
(‘ତାକୁଡ଼ି’ର ଅର୍ଥ କ’ଣ ? ତୁମେ କ’ଣ ତାକୁଡି ଦେଖୁଛ ? କିଏ ତାକୁଡି ବ୍ୟବହାର କରେ ?)
Answer:
A spindle means a thin rod for the winding thread. Yes, I have seen a spindle. The weaver uses the spindle.

Question 10.
The spiders are compared to weavers. How are they alike?
(ବୁଢ଼ିଆଣୀମାନଙ୍କୁ ବୁଣାଳିମାନଙ୍କ ସହ ତୁଳନା କରାଯାଇଛି । ସେମାନେ କିଭଳି ଏକାଭଳି ?)
Answer:
The spiders weave the web and the weavers weave the clothes. So they are alike.

Question 11.
Who changes the white colour of the cobweb?
( କିଏ ବୁଢ଼ିଆଣୀ ଜାଲର ଶୁଭରଙ୍ଗକୁ ବଦଳାଇ ଦିଏ ?)
Answer:
The setting sun changes the white colour of the cobweb.

Question 12.
How many colours are there in a rainbow?
( ଇନ୍ଦ୍ରଧନୁରେ କେତୋଟି ରଙ୍ଗ ଥାଏ ? )
Answer:
There are seven colours in a rainbow.

BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs

Question 13.
When does the sun look better – at sunrise, at noon or at sunset?
(ସୂର୍ୟ୍ୟ କେତେବେଳେ ଅଧିକ ଭଲ (ସୁନ୍ଦର) ଦେଖାଯାଏ-ସୂର୍ଯ୍ୟୋଦୟବେଳେ, ମଧ୍ୟାହ୍ନରେ କିମ୍ବା ସୂର୍ଯ୍ୟାସ୍ତବେଳେ ? )
Answer:
The sun looks better at sunset.

Question 14.
How is the setting sun’s colour similar to that of a rainbow?
( ଅସ୍ତଗାମୀ ସୂର୍ଯ୍ୟର ରଙ୍ଗ ଇନ୍ଦ୍ରଧନୁର ରଙ୍ଗତୁଲ୍ୟ କିପରି ?)
Answer:
The setting sun’s beam is full of colours like the colours of a rainbow. So the setting sun’s colour is similar to that of a rainbow.

Question 15.
The white colour of the cobwebs ¡s changed into that of many coloured rainbows. Who changes this colour into white?
(ବୁଢ଼ିଆଣୀ ଜାଲର ଶୁଭ୍ରରଙ୍ଗ ଇନ୍ଦ୍ରଧନୁର ବିବିଧ ରଙ୍ଗ ଭଳି ବଦଳିଯାଏ । କିଏ ତାହାକୁ ଶୁଭ୍ର । ଧଳା ରଙ୍ଗରେ ବଦଳାଇଦିଏ ? )
Answer:
The moon changes the rainbow-coloured cobweb into white.

Question 16.
To start with, the colour of the cobweb in the poem was white. The setting sun changed it to the colour of a rainbow. The moon changed it white again. Are the white colours at the beginning and at the end similar or different? Which word tells you that there is a difference?
(କବିତାରେ ଆରମ୍ଭରୁ ବୁଢ଼ିଆଣୀ ଜାଲର ରଙ୍ଗ ଧଳା | ଶୁଭ୍ର ଥିଲା । ଅସ୍ତଗାମୀ ସୂର୍ଯ୍ୟ ତାହାକୁ ଇନ୍ଦ୍ରଧନୁର ରଙ୍ଗରେ ରଞ୍ଜିତ କଲେ । ଚନ୍ଦ୍ର ପୁନର୍ବାର ଏହାକୁ ଶୁଭ୍ର ଧଳା କରିଦେଲା । ଆରମ୍ଭ ଏବଂ ଶେଷର ବର୍ଣ୍ଣିତ ଧଳାରଙ୍ଗ ଏକାଭଳି ନା ଭିନ୍ନ ? ଏଥରେ ପାର୍ଥକ୍ୟ ଅଛି ବୋଲି କେଉଁ ଶବ୍ଦ କହୁଛି ? )
Answer:
The white colour of the cobweb at the beginning and at the end is different. Because at night the moon changes the colour of còbweb into magic white.

Question 17.
Which white colour is better – the first one or the second one
(କେଉଁ ଶୁଭ୍ର ରଙ୍ଗ ଅଧିକ ଭଲ – ପ୍ରଥମଟି ନା ଦ୍ଵିତୀୟଟି ? )
Answer:
The second white colour is better.

Question 18.
Do you like the poem?
(ତୁମେ କ’ଣ କବିତାଟିକୁ ପସନ୍ଦ କର ?)
Answer:
Yes, we like the poem.

Question 19.
Do you see how the common sight has been made uncommon by the poet? How the poets make beautiful poems out of very common topics will be discussed later.
(ତୁମେ କ’ଣ ଜାଣିପାରୁଛ ଯେ ସାଧାରଣ ଦୃଶ୍ୟ କବିଙ୍କ ଲେଖନୀରେ କିପରି ଅସାଧାରଣରେ ବଦଳିଯାଏ ? କବି କିପରି ଖୁବ୍ ସାଧାରଣ ବିଷୟରୁ ସଂଗ୍ରହ କରି ସୁନ୍ଦର କବିତା ଲେଖୁପାରନ୍ତି, ତାହା ପରବର୍ତ୍ତୀ ପର୍ଯ୍ୟାୟରେ ଆଲୋଚିତ ହୋଇଛି ।)
Answer:
Yes, we see that the common sight has been made uncommon by the poet.

BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs

Question 20.
In some poems, some stanzas are repeated. What are these stanzas called in Odia poems? (GHOSA) In English? (Refrain) Can you identify the refrain in this poem?
(କେତେକ କବିତାରେ କେତେଗୁଡିଏ ପଦ|ପଂକ୍ତିକୁ ଦୋହରା ଯାଇଥାଏ । ସେହି ପଦ ବା ପଂକ୍ତିକୁ ଓଡ଼ିଆ କବିତାରେ କ’ଣ କହନ୍ତି ? (ଘୋଷା) ଇଂରାଜୀ କବିତାରେ ? (ରିଫ୍ରେନ୍) ତୁମେ ଏହି କବିତାରେ ରିଫେନ (ଘୋଷା)କ ଚିହ୍ନଟ କରିପାରିବ କି ?)
Answer:
Yes, we can identify the refrain in this poem. The last stanza of this poem is a refrain.

Question 21.
Is this poem an old or a new one? Read lines one and two. Can you answer now? Have you seen telephone wires? Do we have telephone wires or towers nowadays? Guess how.
(ଏ କବିତାଟି ନୂତନ ବା ପୁରାତନ ? ପ୍ରଥମ ଏବଂ ଦ୍ବିତୀୟ ଧାଡ଼ିକୁ ପଢ଼ । ବର୍ତ୍ତମାନ ଉତ୍ତର ଦେଇପାରିକ କି ? ତୁମେ ଦୂରଭାସ | ଟେଲିଫୋନ୍ ତାର ଦେଖୁଛ ? ଆମେ ଆଜିକାଲି ଟେଲିଫୋନ୍ ତାର ରଖ୍ ନା ଟାୱାର ?)
Answer:
This poem is an old poem. Because nowadays we do not have telephone wires, but we have towers.

Question 22.
Poets give life to lifeless objects. They often treat non-living objects as living objects – living or even animals or insects as human beings. Do you find such examples in this poem? The spider is like a weaver. What about the sun and the moon?
(କବିମାନେ ନିର୍ଜୀବକୁ ସଜୀବ କରିପାରନ୍ତି । ସେମାନେ ଏପରିକି ନିର୍ଜୀବ ବସ୍ତୁକୁ ସଜୀବ ଦୃଷ୍ଟିରେ ଦେଖନ୍ତି, ଏପରିକି ପଶୁପକ୍ଷୀ ଏବଂ କୀଟପତଙ୍ଗକୁ ଜୀବନ୍ତ ମଣିଷ ପରି । ଏ କବିତାରେ ସେଭଳି ଉଦାହରଣ ପାଇଛ କି ? ବୁଢ଼ିଆଣୀ ଜଣେ ତନ୍ତୀ/ଲୁଗାବୁଣାଳି ପରି । ତେବେ ସୂର୍ଯ୍ୟ ଏବଂ ଚନ୍ଦ୍ର ସମ୍ବନ୍ଧରେ କ’ଣ ? )
Answer:
The spider is like a weaver. The sun is personified to give colour to the cobweb, and the moon is also personified to give a magical charm to the cobweb.

Session – 2

III. Post Reading

1. Visual Memory Development Technique (VMDT) :
(ଦୃଶ୍ୟ ସ୍ମୃତି ବିକାଶ କୌଶଳ)
(i) Pictures – rat, dog, rose, cuckoo, spider web.
(ii) Poem – moon, weaver, spindle, sun, rainbow

BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs

2. Comprehension Activities

(a) MCQs: Choose the correct alternatives to answer the given question.

Question 1.
Who is busy?
(A) The sun
(B) The moon
(C) A spider
(D) The day
Answer:
(C) A spider

Question 2.
Which is compared to the cobweb?
(A) The sun
(B) A rainbow
(C) The moon
(D) A weaver’s cloth
Answer:
(D) A weaver’s cloth

Question 3.
Who makes the cobweb rainbow-coloured?
(A) The moon
(B) The sun
(C) A weaver
(D) A spider
Answer:
(B) The sun

Question 4.
Whom the spider is compared to?
(A) A weaver
(B) The sun
(C) The moon
(D) A spindle
Answer:
(A) A weaver

(b) A summary of the poem is given below. Fill in the gap.
The cobwebs on telephone wires are like. The spiders are like. The ____________ are as busy as the weavers. The ____________ makes the ____________ rainbow-coloured. The _____________ makes it magical white.

Answer:
The cobwebs on telephone wires are like the weaver’s unfinished clothes. The spiders are like weavers. The spiders are as busy as the weavers. The setting sun makes the white cobweb rainbow-coloured. The moon makes it magical white.

BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs

Session – 3

3. Listening

(a) Your teacher will read aloud some of the words listed below. Listen to him/ her and tick the words read aloud. long, clothes, stretch, spindles, pour, rainbow, magic, unfinished
(b) Your teacher will read aloud some lines of the poem. Listen to him and fill in the gaps.
(ତୁମ ଶିକ୍ଷକ ବଡ଼ ପାଟିରେ କବିତାର କେତେକ ଧାଡ଼ି ପଢ଼ିବେ । ତୁମେ ତାକୁ ଶୁଣିବ ଓ ଶୂନ୍ୟସ୍ଥାନ ପୂରଣ କରିବ ।)

The ____________ stretch of cobweb ____________ telephone ____________ white ____________ the weavers unfinished at the ____________ site.

Ans. The long stretch of cobweb on telephone wires looks white like the weaver’s unfinished clothes at the work site.

4. Speaking:

(a)Chain-drill :
1. long stretch of cobwebs
2. The busy spider
3. The setting sun
(b) Dialogue (Reading Aloud) [teacher vs. students, students vs. students and finally in pairs)
Teacher   : The long stretch of cobweb on telephone wires
Students : look white
Teacher   : Like the weaverts unfinished cloth
Students : at the work site
(If possible, other lines in a similar way – teacher’s first two lines and student’s last line)

5. Vocabulary:

Match the words under ‘A’ with ‘B’. One is done for You.

Match the words under ‘A’ with’B’. One is done for You.
Answer:
Match the words under ‘A’ with’B’. One is done for You Answer

BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs

Session – 4

6. Writing:

(a) In 5, you have matched the describing words with the nouns. Now write them following as per the examples given. (Question with Answer)

Telephone wire = wires of telephone
Setting sun = the sun which is setting
unfinished clothes = the clothes which have not been finished
busy spiders = the spiders who are busy
ceaseless spindles = the spindles that work continuously

(b) Answer the following questions.

Question 1.
What is the poem about?
(କବିତାଟି କେଉଁ ବିଷୟରେ ?)
Answer:
The poem is about the cobwebs.

Question 2.
Where is the cobweb?
(ବୁଢ଼ିଆଣୀ ଜାଲଟି କେଉଁଠି ? )
Answer:
The cobweb is on the telephone wires.

Question 3.
Who are similar to weavers?
( କେଉଁମାନେ ତନ୍ତୀମାନଙ୍କ ଭଳି ?)
Answer:
The spiders are similar to weavers.

Question 4.
Who turns the white cobweb to rainbow bright?
(କିଏ ଧଳା ବୁଢ଼ିଆଣୀ ଜାଲକୁ ଇନ୍ଦ୍ରଧନୁ ପରି ଉଜ୍ଜଳ କରିଦିଏ ?)
Answer:
The setting sun turns the white cobweb to a rainbow bright.

Question 5.
Who turns the cobweb to magic white?
( କିଏ ବଦଳାଇଦିଏ ବୁଢ଼ିଆଣୀ ଜାଲକୁ କୁହୁକ ଧଳାରଙ୍ଗରେ ? )
Answer:
The moon turns the cobweb to magic white.

(c) Given below are some words/phrases. Use them to frame as many sentences as possible based on the theme of the poem. Some sample sentences are given for your guidance. (Question with Answer)

Given below are some words phrases. Use them to frame as many sentences as possible based on the theme of the poem

(i) Spiders are like weavers.
(ii) Spiders are busy.
(iii) Weavers weave day and night.
(iv) Stretch of cobwebs is like unfinished clothes.
(v) Spiders weave day and night.
(vi) Spiders are as busy as weavers.
(vii) Spiders weave a stretch of cobwebs.
(viii) Spiders weave a stretch of cobwebs.

BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs

7. Mental Talk

Mentally repeat some of the above sentences, [(i), (ii) and (iii)]

8. Let’s Think

Let’s see how poems are made. The poet saw cobwebs on telephone wires. Quickly he linked it to the unfinished clothes of the weavers. A comparison is made between the spiders and the weavers; maybe he saw the cobweb during the daytime. It looked white. Next, he saw the cobweb at sunset. They looked colourful. Lastly, he saw the cobweb in the moonlit night. It looked magical white. Quick linking, comparison, different scenes – cobweb in daylight, cobweb at sunset, cobweb in the moonlit night. All these sights appeal to our eyes. These are called visual images. We can close our eyes and see these beautiful sights. Then the lifeless objects are given life. The sun is pouring colour on the cobwebs. The moon changes the colour of the cobweb. Finally, the poet put all his thoughts and feeling in the form of a poem using the right words at the right places, some words rhyming with other words. All these have turned a simple and common sight into a beautiful poem.
Now the question is: Are poets born or made?
Is it possible to become a poet? Think, think, think ……………

BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs

BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs Important Questions and Answers

(A) Choose the right answer from the options.

Question 1.
Who changes the rainbow bright colour of the cobweb into white?
(a) The sun
(b) The moon
(c) The spider
(d) The weaver
Answer:
(b) The moon

Question 2.
Weavers’ unfinished clothes are at the work?
(a) place
(b) placed
(c) site
(d) none of these
Answer:
(c) site

(B) Answer the following questions.

Question 1.
What does the cobweb look like?
Answer:
The cobweb looks like the weaver’s unfinished clothes.

Question 2.
What are the spiders doing?
Answer:
The spiders are weaving webs day and night.

BSE Odisha 7th Class English Solutions Lesson 7 Cobwebs

Question 3.
How does a cobweb change its colour?
Answer:
The cobweb looks white. When the setting sun falls on the cobweb, it turns it into a rainbow colour. But the moonbeam changes its colour into magic white.

BSE Odisha 7th Class English Solutions Test-1

Odisha State Board BSE Odisha 7th Class English Solutions Test-1 Textbook Exercise Questions and Answers.

BSE Odisha Class 7 English Solutions Test-1

BSE Odisha 7th Class English Test-1 Text Book Questions and Answers

The figures in the right hand margin indicates the marks for each question.
1. Write the following Odia names of the persons in English. [10]
(Teacher will give names of ten persons in Odia)

BSE Odisha 7th Class English Solutions Test-1 Q1
ମହାତ୍ମା ଗାନ୍ଧୀ – Mahatma Gandhi
ମଧୁସୂଦନ ଦାସ – Madhusudan Das
ବିଜୁ ପଟ୍ଟନାୟକ – Biju Pattnaik
ବିନାପାନି ମହନ୍ତ – Binapani Mohantv
ଗୋପାବନ୍ଧୁ ଦାଶ – Gopabandhu Dash
ଗୋପୀନାଥ ମହନ୍ତ – Gopinath Mohantv
ଫାକିରମୋହନ ସେନାପତି – Fakirmohan Senapati
ରାଧନାଥ ରୋଭ – Radhanath Rov
ରାଜେନ୍ଦ୍ର ପ୍ରସାଦ – Rajendra Prasad
ଚିତ୍ତରଂଜନ ଦାସ – Chittaranjan Das

2. Write the following names of places in English. [10]
(Teacher will give names of ten places in Odia)

BSE Odisha 7th Class English Solutions Test-1 Q2
Answer:
ଭୁବନେଶ୍ୱର – Bhubaneswar
ଦିଲ୍ଲୀ – Delhi
ଆହ୍ଲାବାଦ – Allahabad
ବାଲାସୋର – Balasore
ଆନନ୍ଦପୁର – Anandpur
ବରିପଡା – Baripada
ଗୌହାଟୀ – Gauhati
ଚେନ୍ନାଇ – Chennai
ଫିରୋଜାବାଦ – Ferozabad
ଚମ୍ପୁଆ – Champua

BSE Odisha 7th Class English Solutions Test-1

3. Your teacher will give dictation of ten English words. Write them in the space given below. [10]

BSE Odisha 7th Class English Solutions Test-1 Q3
Answer:
rooster
monkey
money
protect
desert
teacher
wealth
singer
bottle
driver

4. Given below are some words. Your teacher will read aloud ten of them. Tick those which s/he reads aloud.
city, country, tree, crown, rooster, close, monkey, jackal, animal, camel, thirsty, climb, zoo, trumpet [10]
Answer:
(Student tick the words which their teacher reads aloud.)

5. Your teacher will read aloud a paragraph (The Jackal and the Rooster). You listen to him/her and fill in the gaps
There was a very ___________ and ___________ rooster. It looked like a __________ with a beautiful red __________. It also felt like a __________ in the morning. It sat on a ___________ place and ____________ non-stop cock-koo-doodle-doo. He knew his _____________ was much better than the songs of ____________. [15]
Answer:
There was a very big and handsome rooster. It looked like a king with a beautiful read crown. It also felt like a king. It gets up very early in the morning. It sat on a high place and sang non-stop cock-koo-doodle-doo. He knew his song was much better than the songs of other roosters of his locality.

BSE Odisha 7th Class English Solutions Test-1

6. Match the pairs of words which sound alike at the end part. Write the serial numbers in boxes. [15]

BSE Odisha 7th Class English Solutions Test-1

Answer:

A B
1. Pool Farm (10)
2. Trees Keeper (8)
3. Sun Sky (4)
4. High Away (9)
5. You Zoo (6)
6.Too Turn (3)
7. Learn Breeze (2)
8. Soldier Run (7)
9. Day True (5)
10. Arm Cool (2)

7. Read the poem and answer the questions that follow. [10]
(କବିତାଟି ପଢ଼ ଏବଂ ପରବର୍ତ୍ତୀ ପ୍ରଶ୍ନଗୁଡିକର ଉତ୍ତର ଦିଅ ।)

A fox was moving on one day,
And just above his head,
He saw a vine with lovely grapes,
Rich ripe and purple-red.

Question (i).
What is the poem about?
(କବିତାଟି କେଉଁ ବିଷୟରେ ?)
Answer:
The poem is about a fox and vine with lovely grapes.

Question (ii).
What was the fox doing one day?
(ଦିନେ କୋକିଶିଆଳ କ’ଣ କରୁଥିଲା ?)
Answer:
The fox was moving here and there one day.

BSE Odisha 7th Class English Solutions Test-1

Question (iii).
What did he see above his head?
(ତା’ ମୁଣ୍ଡ ଉପରେ ସେ କ’ଣ ଦେଖୁଲା ?)
Answer:
He saw a vine with lovely grapes above his head.

Question (iv).
What were the grapes like? (ଅଙ୍ଗୁରଗୁଡ଼ିକ କିପରି ଥିଲା ?)
Answer:
The grapes were rich, ripe and purple red.

Question (v).
‘He’ in the third line is used for___________.
(ତୃତୀୟ ଧାଡ଼ି ‘He’ (ସେ) _________________ ପାଇଁ ବ୍ୟବହାର ହୋଇଛି ।)
Answer:
In the third line ‘He’ is used for the fox.

8. Read the following paragraph and write the answers to the questions that follow in complete sentences.
Once there lived a jackal in a forest. One day, he did not get any food. He was very hungry. In the evening, the hungry jackal came into a village. He moved here and there in the village. He was looking for food. By chance he fell into a washer-man’s tub which was full of blue water. He became blue and other jackals could not know him. [20]

Question (i).
What is the paragraph about?
(ଅନୁଚ୍ଛେଦଟି କେଉଁ ବିଷୟରେ ?)
Answer:
The paragraph is about a hungry jackal.

Question (ii).
Where did the jackal live?
(ବିଲୁଆଟି କେଉଁଠାରେ ରହୁଥିଲା ?)
Answer:
The jackal lived in a forest.

Question (iii).
Why did he become very hungry one day?
(ଦିନେ ବିଲୁଆ କାହିଁକି ଅଧିକ ଭୋକିଲା ଥିଲା ?)
Answer:
One day the jackal did not get any food anywhere, so he became hungry

Question (iv).
When did the jackal come into the village?
(ବିଲୁଆଟି କେତେବେଳେ ଗାଁ ଭିତରକୁ ଆସିଲା ?)
Answer:
The jackal came into the village in the evening.

Question (v).
What was he searching for in the village?
(ଗାଁରେ ସେ କ’ଣ ଖୋଜୁଥୁଲା ?)
Answer:
He was searching for food in the village.

BSE Odisha 7th Class English Solutions Test-1

Question (vi).
Where did he move in the village?
(ସେ ଗାଁର କେଉଁ ଜାଗାରେ ବୁଲୁଥିଲା ?)
Answer:
He moved here and there in the village.

Question (vii).
What did he fall into?
(କେଉଁଠାରେ ସେ ପଡ଼ିଗଲା ?)
Answer:
He fell into a washer-man’s tub which was full of blue water.

Question (viii).
What happened to him when he fell into the tub?
(ଟବ୍‌ରେ ପଡ଼ିଗଲା ପରେ ତା’ର କ’ଣ ହେଲା ?)
Answer:
When he fell into the tub, he became blue.

Question (ix).
Why couldn’t the other jackals know him?
(ଅନ୍ୟ ବିଲୁଆମାନେ ତାହାକୁ କାହିଁକି ଜାଣିପାରିଲେ ନାହିଁ ?)
Answer:
Other jackals could not know him because he was looking blue quite different from them.

Question (x).
Who is ‘He’ in the last line?
(ଶେଷ ଧାଡିରେ ‘He’ କିଏ ?)
Answer:
In the last lines ‘He’ refers to the jackal.

CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d)

Odisha State Board CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Textbook Exercise Questions and Answers.

CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Exercise 6(d)

Question 1.
State which of the following is the probability distribution of a random variable X with reasons to your answer:
(a)

X = x 0 1 2 3 4
p(x) 0.1 0.2 0.3 0.4 0.1

(b)

X = x 0 1 2 3
p(x) 0.15 0.35 0.25 0.2

(c)

X = x 0 1 2 3 4 5
p(x) 0.4 R 0.6 R2 0.7 0.3

Solution:
(a) As ∑pi = 1.1 > 1, the given distribution is not a probability distribution.
(b) As ∑pi = 0.95 < 1, the given distribution is not a probability distribution.
(c) As the value of R is not known, the given distribution is not a probability distribution.

Question 2.
Find the probability distribution of number of doublets in four throws of a pair of dice. Find also the mean and the variance of the number of doublets.
Solution:
Let the random variable X represents the number of doublets in 4 throws of a pair of dice.
X can take values 0, 1, 2, 3, 4
In a single throw of two dice
X can take values 0, 1, 2, 3, 4
In a single throw of two dice.
P(doublet) = \(\frac{6}{36}\)
P(non-doublet) = 1 – P (doublet) = \(\frac{5}{36}\)
Clearly the given experiment is a binomial experiment with n = 4,
p = \(\frac{1}{6}\), q = \(\frac{5}{6}\)
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.2
N.B. We can use the definition to find mean and variance.

CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d)

Question 3.
Four cards are drawn successively with replacement from a well-shuffled pack of 52 cards. Find the probability distribution of the number of aces. Calculate the mean and variance of the number of aces.
Solution:
Let the random variable X denotes the number of aces.
Thus X can take values 0, 1, 2, 3, 4.
Clearly the given experiment is a binomial experiment with n = 4
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.3
N.B. We can use the definition to find mean and variance.

Question 4.
Find the probability distribution of
(a) number of heads in three tosses of a coin.
Solution:
Let the random variable X denotes the number of heads in three tosses of a coin.
X can take values 0, 1, 2, 3
In one toss p(H) = \(\frac{1}{2}\), p(T) = \(\frac{1}{2}\)
This experiment is a binomial experiment with n = 3, p = \(\frac{1}{2}\) and q = \(\frac{1}{2}\)
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.4
(b) number of heads in simultaneous tosses of four coins.
Solution:
When 4 coins tossed simultaneously, let the random variable X denotes the number of heads.
X can take values 0, 1. 2, 3, 4
This experiment is a binomial experiment with n = 4, p = \(\frac{1}{2}\) and q = \(\frac{1}{2}\)
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.4(1)

Question 5.
A biased coin where the head is twice as likely to occur as the tail is, tossed thrice. Find the probability distribution of number of heads.
Solution:
Let in a toss P(T) = x
According to the question P(H) = 2x
Now 2x + x = 1
⇒ x = \(\frac{1}{3}\)
Thus P(T) = \(\frac{1}{3}\), P(H) = \(\frac{3}{3}\)
Clearly the given experiment is a binomial experiment with n = 3, p = P(H) = \(\frac{2}{3}\), q = P(T) = \(\frac{1}{3}\)
Let the random variable X denotes the number of heads in three throws of that coin.
X can take values 0, 1, 2, 3
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.5

CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d)

Question 6.
Find the probability distribution of the number of aces in question no. 3 if the cards are drawn successively without replacement.
Solution:
Total number of cards = 52
Number of aces = 4
Number of cards drawn = 4 (one by one without replacement)
Let X = the random variable of number of aces drawn.
X can take values 0, 1, 2, 3 or 4
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.6

Question 7.
From a box containing 32 bulbs out of which 8 are defective 4 bulbs are drawn at random successively one after another with replacement. Find the probability distribution of the number of defective bulbs.
Solution:
Total number of bulbs = 32
Number of defective bulbs = 8
∴ Number of nondefective bulbs = 24
Number of bulbs drawn = 4 (one after another with replacement)
Clearly the experiment is a binomial experiment with n = 4
p = p ((drawing a defective bulb) = \(\frac{8}{32}\) = \(\frac{1}{4}\)
q = p (drawing a non defective bulb) = \(\frac{3}{4}\)
Let the random variable X denotes the number of defective bulbs.
∴ X can take values 0, 1, 2, 3, 4.
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.7

Question 8.
A random variable X has the following probability distribution.

X = x 0 1 2 3 4 5
p(x) 0 R 2R 3R 3R R

Determine
(a) R
(b) P(X < 4)
(d) P(2 ≤ X ≤ 5)
(c) P(X ≥ 2)
Solution:
(a) Clearly ∑Pi = 1
⇒ R + 2R + 3R + 3R + R = 1
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.8

Question 9.
Find the mean and the variance of the number obtained on a throw of an unbiased coin.
Solution:
When an unbiased coin is tossed we donot get any number.
p(getting a number) = 0
Thus mean = variance = 0
If instead of coin it would be an unbiased die
Then let X = The number obtained in the throw.
X can take values 1, 2, 3, 4, 5 or 6.
P(X = 1) = P(X = 2) = P(X = 3) = P(X = 4)
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.9

CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d)

Question 10.
A pair of coins is tossed 7 times. Find the probability of getting
(i) exactly five tails
(ii) at least five tails
(iii) at most five tails
Solution:
Clearly the given experiment is a binomial experiment with
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.10

Question 11.
If a pair of dice is thrown 5 times then find the probability of getting three doublets.
Solution:
In a single through of a pair of dice
p (a doublet) = \(\frac{6}{36}\) = \(\frac{1}{6}\)
p (a non doublet) = 1 – p (a doublet) = 1 – \(\frac{1}{6}\) = \(\frac{5}{6}\)
Clearly the given experiment is a binomial experiment with n = 5
p = \(\frac{1}{6}\) and q = \(\frac{5}{6}\)
p(3 doublets in 5 throw) = 5C3 p3q2
= 10. \(\left(\frac{1}{6}\right)^3\) \(\left(\frac{5}{6}\right)^2\) = \(\frac{250}{6^5}\) = \(\frac{125}{3888}\)

Question 12.
Four cards are drawn successively with replacement from a well-shuffled pack of 52 cards. What is the probability that:
(i) all the four cards are diamonds
(ii) only two cards are diamonds
(iii) none of the cards is a diamond.
Solution:
Out of 52 cards there are 13 diamonds. 4 cards are drawn one by one with replacement.
When we draw a card
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.12

Question 13.
In an examination, there are twenty multiple-choice questions each of which is supplied with four possible answers. What is the probability that a candidate would score 80% or more in the answers to these questions?
Solution:
Total number of questions = 20 for each question
p (correct answer) = \(\frac{1}{4}\)
p (wrong answer) = \(\frac{3}{4}\)
p (the score is > 80%)
= p (no. of correct answer > 16)
= p (16 correct answers)
+ p(17 correct answers)
+ p (18 correct answers)
+ p (19 correct answers)
+ p (20 correct answers)
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.13

Question 14.
A bag contains 7 balls of different colours. If five balls are drawn successively with replacement then what is the probability that none of the balls drawn is white?
Solution:
Total number of balls = 7 (The colours are different)
Number of balls drawn = 5 (one by one with replacement)
Case – 1
(If a white coloured ball is not present)
p(non is white) = 1
Case – 2
(If one ball is white).
In one draw p(white ball) = \(\frac{1}{7}\)
p (non white ball) = \(\frac{6}{7}\)
When 5 balls are drawn
p (none of the balls drawn is white) = 5C0 \(\left(\frac{1}{7}\right)^0\) \(\left(\frac{6}{5}\right)^5\) = \(\left(\frac{6}{7}\right)^5\)

Question 15.
Find the probability ofthrowing at least 3 sixes in 5 throws of a die.
Solution:
In one throw of a die
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.15

Question 16.
The probability that a student securing first division in an examination is \(\). What is the probability that out of 100 students twenty pass in first division?
Solution:
Clearly the given experiment is a binomial experiment with
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.16

CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d)

Question 17.
Sita and Gita throw a die alternatively till one of them gets a 6 to win the game. Find their respective probability of winning if Sita starts first.
Solution:
In one throw of a die
p (getting a 6) = \(\frac{1}{6}\)
p (not getting a 6) = \(\frac{5}{6}\)
If Sita begins the game she may win in first round or second round or third round, etc.
Thus p(Sita wins)
CHSE Odisha Class 12 Math Solutions Chapter 6 Probability Ex 6(d) Q.17

Question 18.
If a random variable X has a binomial distribution B(8, \(\frac{1}{2}\)) then find X for which the outcome is the most likely. [Hint: Find X=x for which P(X = x) is the maximum, x = 0, 1, 2, 3,…….. 8.]
Solution:
Given binomial distribution is B(8, \(\frac{1}{2}\))
Thus n = 8, p = \(\frac{1}{2}\), q = \(\frac{1}{2}\)
We shall find X which is most likely i.e. for which p(x = r) is maximum where r = 0, 1, 2, ….., 8
As p = q, the probability is maximum when 8Cr is maximum
But 8Cr, r = 0, 1, 2, ….. ,8 is maximum when r = 4.
Thus the most likely outcome is x = 4.

BSE Odisha 7th Class English Solutions Follow-Up Lesson 3 Mum

Odisha State Board BSE Odisha 7th Class English Solutions Follow-Up Lesson 3 Mum Textbook Exercise Questions and Answers.

BSE Odisha Class 7 English Solutions Follow-Up Lesson 3 Mum

BSE Odisha 7th Class English Follow-Up Lesson 3 Mum Text Book Questions and Answers

Mum, you’re like an angel,
Sent from up above;
With all your kindness, tenderness,
And everlasting love.

You have always looked after me,
And taught me right from wrong;
And when I am down and worried,
It’s always you that come along.

BSE Odisha 7th Class English Solutions Follow-Up Lesson 3 Mum

You are not just mum but a friend of mine,
A friend I cannot replace;
And every time I think of you,
All I see is your smilling face.

I thank you mum, for bearing me,
And allowing me to see these times;
Because if it wasn’t- for you, dear mother,
I could never write down these lines.

ଓଡ଼ିଆ ଅନୁବାଦ:

ତୁମେ ତ ମା’ ଏକ ସ୍ଵର୍ଗଦୂତ
ତୁମର ସମସ୍ତ ଦୟା, କୋମଳତା ସହିତ,
ପ୍ରେରିତ ହୋଇଛ ଉପର ଧାମରୁ
ଚିରନ୍ତନ ପ୍ରେମମୟ ପଥକୁ ଆବୋରି ।

ସବୁବେଳେ ଯନ୍ତ୍ର ନିଅ ମୋର
ମୋତେ ଶିଖାଇଦିଅ କିଏ ଠିକ୍ କିଏ ଅବା ଭୁଲ୍
ଏବଂ ଯେତେବେଳେ ମୁଁ ତଳକୁ ଓ ଚିନ୍ତିତ,
ସେହି ତୁମେ ପାଖେ ପାଖେ ସଦାବେଳେ ସାଥ୍‌ରେ ସାଥ୍‌ରେ ।

BSE Odisha 7th Class English Solutions Follow-Up Lesson 3 Mum

ନୁହଁ ତୁମେ କେବଳ ଯେ ମାମା
କିନ୍ତୁ ଏକ ସାଥୀ ଜୀବନର ସାଥୀ ଏକ ଯାହାକୁ ମୁଁ ବଦଳି ପାରେନି
ସର୍ବଦା ଓ ସବୁବେଳେ ଭାବେ ତୁମ କଥା
ଦେଖେ ଯାହା କେବଳ ସେ ତୁମ ହାସ୍ୟ ମୁଖ ।

ଧନ୍ୟବାଦ ମାମା, ତୁମେ ମୋତେ ଜନ୍ମ ଯେ ଦେଇଛ
ଏହି ସମୟ ସବୁକୁ ଦେଖିବାକୁ ଦେଇଛ ସୁଯୋଗ
କିନ୍ତୁ ଯଦି ତୁମେ ତ ନଥା’ନ୍ତ
ହେ ସ୍ନେହମୟୀ ମାମା
ଏପରି ଧାଡ଼ିଏ ମୁଁ ଲେଖୁ ଯେ ନଥା’ନ୍ତି ।

Notes And Glossary: (ଶବ୍ଦାର୍ଥ) :
Angel (ଆଞ୍ଜେଲ୍) – ସ୍ବର୍ଗଦୂତ
above ( ଏବଭ୍) – ଉପର
kindness (କାଇଗ୍‌ନେସ୍) – ଦୟା
tenderness (ଟେଣ୍ଡରନେସ୍) – କୋମଳତା
everlasting ( ଏଭରଲାଷ୍ଟିଙ୍ଗ୍) – ଚିରନ୍ତନ
look after (ଲୁକ୍ ଆପ୍‌ର) – ଯନ୍ତ୍ର ନେବା
right from wrong (ରାଇଟ୍ ଫ୍ରମ୍ ରଙ୍ଗ୍) –ଭୁଲ
worried (ଓରିଡ୍) – ବ୍ୟସ୍ତ, ବିବ୍ରତ
replace (ରିପ୍ଲେସ୍) – ବଦଳେଇବା
bearing (ବିୟରିଙ୍ଗ୍) – ପାଳିବା

Write answers to the following questions : (ନିମ୍ନ ପ୍ରଶ୍ନଗୁଡ଼ିକର ଉତ୍ତର ଦିଅ ।)
Question 1.
Mother is like an angel. What angel like qualities does she have?
(ମାଆ ଜଣେ ସ୍ଵର୍ଗଦୂତ ପରି । ସ୍ବର୍ଗଦୂତ ଭଳି ତାଙ୍କର କି କି ଗୁଣ ଅଛି ?)
Answer:
Mother like an angel has kindness, tenderness and everlasting love.

Question 2.
Which of the following sentences is not true of the mother?
(ମା’ ସମ୍ବନ୍ଧରେ ନିମ୍ନଲିଖ୍ ବାକ୍ୟଗୁଡ଼ିକ ମଧ୍ୟରୁ କେଉଁଟି ସତ୍ୟ ନୁହେଁ ?
(i) She looks after me. (ସେ ମୋତେ ଯନ୍ ନିଅନ୍ତି ।)
(ii) She always quarrels with me. (ସେ ମୋ ସହିତ ସର୍ବଦା କଳହ କରନ୍ତି ।)
(iii) She teaches me right from wrong. (ସେ ମୋତେ ଭୁଲଠାରୁ ଠିକ୍ କ’ଣ ଶିଖାନ୍ତି ।)
(iv) She stands by me in my troubles. (ସେ ମୋ ଅସୁବିଧାବେଳେ ପାଖେ ପାଖେ
Answer:
(ii) She always quarrels with me.

Question 3.
What does the child see when it thinks of the mother?
(ପିଲାଟି ଯେତେବେଳେ ମା’ଙ୍କ କଥା ଭାବେ ସେ କ’ଣ ଦେଖେ ?)
Answer:
When the child thinks of the mother it always sees her smiling face.

BSE Odisha 7th Class English Solutions Follow-Up Lesson 3 Mum

Question 4.
Which line in the stanza-4 says that mother has given birth to the child?
(୪ର୍ଥ ପଦରେ ଥ‌ିବା କେଉଁ ଶବ୍ଦ ମା’ ପିଲାଟିକୁ ଜନ୍ମ ଦେଇଥୁବାର ସୂଚାଏ ?)
Answer:
“I thank you mum, for bearing me”. This line of stanza-4 shows that mother has given birth to the child.

Question 5.
What is the child now? Who has helped it to be so great?
(ପିଲାଟି ବର୍ତ୍ତମାନ କ’ଣ ? କିଏ ତାକୁ ଏତେ ବଡ଼ ହେବାରେ ସାହାଯ୍ୟ କରନ୍ତି ?)
Answer:
The child is now a renowned poet. Mother has helped the child to be so great.

Word Note: (The words /phrases have been defined mostly on their contextual meanings)

angel (ଆଞ୍ଜେଲ୍) – messenger of god (ଦେବଦୂତ, ମହାନ୍ ବ୍ୟକ୍ତି)
bearing me (ବିୟରିଙ୍ଗ ମି) – giving birth to me (ମୋତେ ଜନ୍ମ ଦେଇଥ‌ିବାରୁ)
brave (ବ୍ରେକ୍) -courageous, fearless
down and worried (ଡାଉନ୍ ଆଣ୍ଡ୍ ଓରିଡ୍) – when I am in trouble / in problems (ସମସ୍ୟାରେ ବ୍ୟସ୍ତ ବିବ୍ରତ ହେଉଥିଲାବେଳେ)
everlasting (ଏଭର୍‌ଲାଷ୍ଟିଙ୍ଗ୍) – something that lasts for ever
looked after (ଲୁକ୍‌ ଆପ୍‌ର) – (you have) taken care (ଲାଳନ ପାଳନ କରିଛ, ଯତ୍ନ ନେଇଛ)
magic (ମ୍ୟାଜିକ୍) – special power, (here) magic of mother’s love (ଯାଦୁ, କୁହୁକ, ମା’ ମମତାର ଯାଦୁକରୀ ଶକ୍ତି)
replace – fill up the place (ଅନ୍ୟଦ୍ୱାରା ସ୍ଥାନ ପୂରଣ କରିବା)
tenderness (ଟେଣ୍ଡର୍‌ନେସ୍) – affectionate behaviour (ସ୍ନେହପୂର୍ଣ ବ୍ୟବହାର)

BSE Odisha 7th Class English Solutions Follow-Up Lesson 3 Mum Important Questions and Answers

(A) Choose the right answer from the options.
Question 1.
Mum, you’re like ___________.
(i) an angel
(ii) a human being
(iii) an actress
(iv) a goddess
Answer:
(i) an angel

Question 2.
Mother is sent to you by God from _____________.
(i) Earth
(ii) other countries
(iii) Mars
(iv) up above
Answer:
(iv) up above

Question 3.
Mother’s love is _____________.
(i) shortlived
(ii) immortal
(iii) longlasting
(iv) everlasting
Answer:
(iv) everlasting

BSE Odisha 7th Class English Solutions Follow-Up Lesson 3 Mum

Question 4.
Mother is a _____________ that can’t be replaced.
(i) teacher
(ii) goddess
(iii) philosopher
(iv) guide
Answer:
(iv) guide

(B) Answer the following questions.
Question 1.
Why does a child love its mother?
Answer:
A child loves her mother for her kindness, tenderness and deep love towards him/her. Her advice makes him/her good, brave and true.

Question 2.
What is the mother for a child?
Answer:
For a child the mother is a friend, philosopher and guide. She loves her child dearly and solve all problems of the child.

BSE Odisha 6th Class English Solutions Lesson 2 A Greedy Fat Old Man (I)

Odisha State Board BSE Odisha 6th Class English Solutions Lesson 2 A Greedy Fat Old Man (I) Textbook Exercise Questions and Answers.

BSE Odisha 6th Class English Solutions Lesson 2 A Greedy Fat Old Man (I)

BSE Odisha 6th Class English Lesson 2 A Greedy Fat Old Man (I) Text Book Questions and Answers

Session – 1 ( ସୋପାନ – ୧)
I. Pre-Reading (ପଢ଼ିବା ପୂର୍ବରୁ)

  • Socialization (ସାମାଜିକୀକରଣ):
  • Look at the picture. Who are there in the picture? Why is the old man so fat? What is he talking to the thin boy? Let’s read the story and see.
    (ଛବିଟିକୁ ଚାହଁ । ଛବିଟିରେ କେଉଁମାନେ ଅଛନ୍ତି ? ବୁଢ଼ାଲୋକଟି କାହିଁକି ଏତେ ମୋଟା ହୋଇଛି ? ସେ ପତଳା ବାଳକଟିକୁ କ’ଣ କହୁଛି ? ଆସ ଗପଟିକୁ ପଢ଼ିବା ଏବଂ ଦେଖିବା ।)
  • The Story is based on fantasy. It is very interesting and you will enjoy it
    (ଗଛଟି ଏକ କଳ୍ପନା ଉପରେ ଆଧାରିତ । ଏହା ବହୁତ ମଜାଦାୟକ ଏବଂ ତୁମେ ଏହାକୁ ଉପଭୋଗ କରିବ ।)

II. While-Reading (ପଢ଼ିବା ସମୟରେ)
Text – (ପାଠ୍ୟବସ୍ତୁ)

Read the story silently and answer the questions that follow.
Once there lived a greedy fat old man. One day he got up at 6 a.m. and brushed his teeth at 6.30 a.m. He took tea at 7 a.m. and breakfast at 8.30 a.m. Do you know how much tea he took? And what did he take in his breakfast? He took two mugs of tea and two liters of milk. Then he took three tins of biscuits and five big pieces of cake. After breakfast, he looked really very very fat.
BSE Odisha 6th Class English Solutions Lesson 2 A Greedy Fat Old Man (I)
Then he went out for a walk. He walked, walked, and walked till he met a little thin boy. He had a long conversation with the boy.
Old man: Have you brushed your teeth?
Boy: No, I haven’t.
Old man: Do you have enough tea and milk to drink?
Boy: No, I don’t have.
Old man: Do you have enough biscuits to eat?
Boy: No, I don’t have.
Old man: Do you have enough cake to eat?
Boy: No, I don’t have
When the old man had just finished his questions, the boy asked him a question
Boy: Old man, old man, what makes you so fat?

The old man said, “I’ve taken two mugs of tea, and two liters of milk. I also took three tins of biscuits and five kilograms of cakes. And if I can catch you, I’ll eat you up.” Then the old man caught the thin little boy and ate him up.
BSE Odisha 6th Class English Solutions Lesson 2 A Greedy Fat Old Man (I) -Q. 1
ଓଡ଼ିଆ ଅନୁବାଦ :
ଏକଦା (ଥରେ) ସେଠାରେ ଜଣେ ଲୋଭୀ ମୋଟା ବୁଢ଼ାଲୋକ ବାସ କରୁଥିଲେ । ଦିନେ ସେ ସକାଳ ୬ (a.m.) ଟାରେ ଉଠିପଡ଼ିଲେ ଏବଂ ତାଙ୍କର ଦାନ୍ତ ଘ. ୬.୩୦ ମି. (a.m.) ରେ ସଫାକଲେ । ସେ ସକାଳ ୭ଟା ରେ ଚା’ପାନ କଲେ ଏବଂ ଘ.୮.୩୦ ମି.ରେ ଜଳଖିଆ ଖାଇଲେ । ତୁମେ ଜାଣ କି ସେ କେତେ ପରିମାଣରେ ଚା’ପାନ କଲେ ? ଏବଂ ସେ ତାଙ୍କର ଜଳଖିଆରେ କ’ଣ ଖାଇଲେ ? ସେ ଦୁଇ ମଗ୍ (ଜଳପାତ୍ର) ଚା’ ଏବଂ ଦୁଇ ଲିଟର କ୍ଷୀର ପାନ କଲେ । ତା’ପରେ ସେ ତିନି ଟିଣ ବିସ୍କୁଟ୍ ଏବଂ ପାଞ୍ଚଖଣ୍ଡ ବଡ଼ ବଡ଼ ପିଠା ଖାଇଲେ । ଜଳଖିଆ ଖାଇ ସାରିବାପରେ, ସେ ପ୍ରକୃତରେ ବହୁତ ବହୁତ ମୋଟା ଦେଖାଗଲେ ।
ତା’ପରେ ସେ ଏକ ପଦଯାତ୍ରାରେ ବାହାରିଗଲେ । ସେ ଗୋଟିଏ ଛୋଟ ପତଳା ବାଳକ ସହ ସାକ୍ଷାତ କରିବା ପର୍ଯ୍ୟନ୍ତ ବହୁତଗୁଡ଼ିଏ ବାଟ ଚାଲିଲା । ସେହି ବାଳକଟି ସହିତ ତାଙ୍କର ଏକ ଦୀର୍ଘ କଥୋପକଥନ ହୋଇଥିଲା ।
ବୃଦ୍ଧଲୋକ : ତୁମେ ତୁମ ଦାନ୍ତ ଘଷିଛ ?
ବାଳକ : ନା, ମୁଁ ଘଷିନି ।
ବୃଦ୍ଧଲୋକ : ତୁମର ବହୁତ ଚାହା ଏବଂ କ୍ଷୀର ପିଇବାକୁ ଅଛି କି ?
ବାଳକ : ନା, ମୋ’ର ନାହିଁ ।
ବୃଦ୍ଧଲୋକ : ତୁମର ବହୁତ ବିସ୍କୁଟ୍ ଖାଇବାକୁ ଅଛି କି ?
ବାଳକ : ନା, ମୋ’ର ନାହିଁ ।
ବୃଦ୍ଧଲୋକ : ତୁମର ବହୁତ ପିଠା ଖାଇବାକୁ ଅଛି କି ?
ବାଳକ : ନା, ମୋ’ର ନାହିଁ ।
ଯେତେବେଳେ ବୁଢ଼ାଲୋକଟି ତା’ର ପ୍ରଶ୍ନଗୁଡ଼ିକ ଶେଷକଲା, ବାଳକଟି ତାଙ୍କୁ ଗୋଟିଏ ପ୍ରଶ୍ନ ପଚାରିଲା ।
ବାଳକ : ହେ ବୁଢ଼ାଲୋକ, କ’ଣ ତୁମକୁ ଏତେ ମୋଟା କରିଛି ?
ବୃଦ୍ଧଲୋକଟି କହିଲା, ‘ମୁଁ ଦୁଇ ମଗ୍ (ଜଗ୍) ଚା’ ଓ ଦୁଇ ଲିଟର କ୍ଷୀର ପିଇଛି । ମୁଁ ମଧ୍ୟ ତିନିଟିଣ ବିସ୍କୁଟ୍ ଏବଂ ପାଞ୍ଚ କିଲୋଗ୍ରାମ୍ ପିଠା ଖାଇଛି । ଏବଂ ଯଦି ମୁଁ ତୁମକୁ ଧରିପାରିବି, ମୁଁ ତୁମକୁ ଗିଳିଦେବି ।’’ ତା’ପରେ ବୁଢ଼ାଲୋକଟି ସେହି ଛୋଟ ପତଳା ବାଳକଟିକୁ ଧରି ପକାଇଲା ଏବଂ ତାକୁ ଗିଳିଦେଲା ।

Knowing The Key Words – (ମୁଖ୍ୟ ଶବ୍ଦଗୁଡ଼ିକୁ ଜାଣିବା)

Once – ଏକଦା (ଥରେ)
greedy – ଲୋଭୀ ବା ପେଟୁ (covetous)
fat – ଚର୍ବି |
got up – ନିଦରୁ ଉଠିପଡ଼ିଲା (woke up)
brushed – ଦାନ୍ତ ଘଷିଲା (cleaned)
breakfast – ଜଳଖିଆ (tiffin)
mugs- ଜଳପାତ୍ରସବୁ (jugs)
litres- ଲିଟ୍ରେସ୍
really- ବାସ୍ତବିକ ବା ପ୍ରକୃତରେ
very- ବହୁତ
then- ତାପରେ (Next)
for a walk-
till – ପର୍ଯ୍ୟନ୍ତ
met- ସାକ୍ଷାତ୍ କଲା ବା ଭେଟିଲା (meetର past tense)
thin- ପତଳା | (Lean)
conversation-
old man – ବୃଦ୍ଧଲୋକ
boy , – ବାଳକ
enough – ବହୁତ / ବହୁତ (A lot of/ much)
drink – ପିଇବା | ପାନ କରିବା
cake – ପିଠା
when – କେବେ
just – କେବଳ ମାତ୍ର
what – କଣ
so – ତେଣୁ/ ବହୁତ (very)
said – କହିଲା
also – ମଧ୍ୟ (Too)
took – ନେଇଗଲା |
if – ଯଦି
catch – ଧରିବା
eat up – ଖାଅ/ ଗିଳିବା (swallow).

  • The teacher reads aloud the story with action, students listen to him/her without opening their books.
    (ଶିକ୍ଷକ ଭାବଭଙ୍ଗୀ ସହ ବଡ଼ପାଟିରେ ଗପଟିକୁ ପଢ଼ିବେ, ଶିକ୍ଷାର୍ଥୀମାନେ ତାଙ୍କୁ (ପୁ | ସ୍ତ୍ରୀ) ସେମାନଙ୍କର ବହିଗୁଡ଼ିକୁ ନ ଖୋଲି ମନଦେଇ ଶୁଣିବେ ।)
  • The teacher reads aloud a second time, and students listen to him/her and see the text
    (ଦ୍ଵିତୀୟ ଥର ଶିକ୍ଷକ ବଡ଼ପାଟିରେ ପଢ଼ିବେ, ଶିକ୍ଷାର୍ଥୀମାନେ ତାଙ୍କୁ (ପୁ | ସ୍ତ୍ରୀ) ମନଦେଇ ଶୁଣିବେ ଏବଂ ପାଠ୍ୟବିଷୟକୁ ଦେଖିବେ । )
  • The teacher reads aloud one sentence, and students repeat after him/her in chorus. (All the students in this way)
    (ଶିକ୍ଷକ ବଡ଼ପାଟିରେ ଗୋଟିଏ ବାକ୍ୟ ପଢ଼ିବେ, ଶିକ୍ଷାର୍ଥୀମାନେ ମିଳିତ ଭାବରେ ତାଙ୍କ ପରେ ଏହାକୁ ପୁନରାବୃତ୍ତି କରିବେ । ) (ସମସ୍ତ ଛାତ୍ରମାନେ ଏହିପରି କରିବେ ।)
  • Students read the story silently followed by questions from the teacher.
    (ଶିକ୍ଷାର୍ଥୀମାନେ ଶିକ୍ଷକଙ୍କ ପ୍ରଶ୍ନଗୁଡ଼ିକୁ ଅନୁସରଣ କରି ଗପଟିକୁ ନୀରବରେ ପଢ଼ିବେ ।)

Comprehension Questions – (ବୋଧମୂଳକ ପ୍ରଶ୍ନବଳୀ) :

Question 1.
What is the story about?
(ଗପଟି କେଉଁ ବିଷୟରେ ଆଧାରିତ ?)
Answer:
The story is about a fat old man and a little thin boy.

Question 2.
When did the old man get up?
(କେତେବେଳେ ବୁଢ଼ାଲୋକଟି ନିଦରୁ ଉଠିଥିଲା ?)
Answer:
The old man got up at 6 a.m.
(The teacher frames two more similar questions.)
(ଶିକ୍ଷକ ଆଉ ଦୁଇଟି ଏକାପ୍ରକାର ପ୍ରଶ୍ନ ତିଆରି କରିବେ ।)

(i) When did he brush his teeth?
(କେତେବେଳେ ସେ ତା’ର ଦାନ୍ତ ସଫା କରିଥିଲା ?)
Answer:
He brushed his teeth at 6.30 a.m.

(ii) When did he take tea?
(କେତେବେଳେ ସେ ଚା’ ପାନ କରିଥିଲା ?)
Answer:
He took tea at 7 a.m.

Question 3.
How much tea did the old man take?
(ବୁଢ଼ାଲୋକଟି କେତେ ଚା’ପାନ କରିଥିଲା ?)
Answer:
The old man took two mugs of tea.
(The teacher frames three more similar questions.)
(ଶିକ୍ଷକ ଆଉ ୩ଟି ଏକା ପ୍ରକାର ପ୍ରଶ୍ନ ତିଆରି କରିବେ ।)

(i) How much milk did he take?
(ସେ କେତେ କ୍ଷୀର ପିଇଥିଲା ?)
Answer:
He took two litres of milk.

(ii) How many tins of biscuits did he take?
(ସେ କେତେ ଟିଣ ବିସ୍କୁଟ ଖାଇଥିଲା ?)
Answer:
He took three tins of biscuits

(iii) How many pieces of cake did he take?
(ସେ କେତେ ଖଣ୍ଡ ପିଠା ଖାଇଥୁଲା ?)
Answer:
He took five big pieces of cakes.

Question 4.
Whom did he meet on the way?
(ସେ ବାଟରେ କାହାକୁ ଭେଟିଲା ? )
Answer:
He met a little thin boy on the way.

Question 5.
How many questions did the old man ask the boy?
(ବୁଢ଼ାଲୋକଟି ବାଳକଟିକୁ କେତୋଟି ପଚାରିଥିଲା ?)
Answer:
The old man asked the boy four questions.

Question 6.
Did the boy ask the old man any questions? What was his question?
(ବାଳକଟି ବୁଢ଼ାଲୋକକୁ କୌଣସି ପ୍ରଶ୍ନ ପଚାରିଥିଳ କି ? ତା’ର ପ୍ରଶ୍ନ କ’ଣ ଥିଲା ?)
Answer:
The boy asked the old man one question. His question was, “Old man,
old man, what makes you so fat ?”

Question 7.
What did the old man do with the boy?
(ବୁଢ଼ାଲୋକଟି ବାଳକଟି ସହିତ କ’ଣ କଲା?)
Answer:
The old man caught the boy and ate him up.

Session – 2 ( ସୋପାନ – ୨)
III. Post-Reading (ପଢ଼ିସାରିବା ପରେ)

1. Visual Memory Development Technique (VMDT) :
(ଦୃଶ୍ୟ ସ୍ମୃତି ଉନ୍ନୟନ କୌଶଳ (VMDT))
Picture Fat old man, boy, milk packet, cake
(ଛବି – ମୋଟା ବୁଢ଼ାଲୋକ, ବାଳକ, କ୍ଷୀର ଥଳି, ପିଠା)
Text. breakfast, walk, boy asks a question, old man asks questions
(ବିଷୟବସ୍ତୁ —ଜଳଖୁଆ, ଚାଲିବା, ବାଳକ ଗୋଟିଏ ପ୍ରଶ୍ନ ପଚାରିବା, ବୁଢ଼ାଲୋକ ପ୍ରଶ୍ନଗୁଡ଼ିଏ ପଚାରିବା)

2. Listening – (ମନଯୋଗ ସହକାରେ ଶୁଣିବା)
(a) Your teacher reads aloud some words from the list below. You tick the words your teacher reads.
(ନିମ୍ନ ତାଲିକାରେ ଥିବା କେତେକ ଶବ୍ଦକୁ ତୁମ ଶିକ୍ଷକ ବଡ଼ପାଟିରେ ପଢ଼ିବେ । ତୁମେ ଶିକ୍ଷକ ପଢ଼ୁଥ‌ିବା ଶବ୍ଦଗୁଡ଼ିକୁ ଚିହ୍ନ ଦେବ ।)
breakfast, biscuit, conversation, enough, questions, catch, greedy.
(ଜଳଖୁଆ, ବିସ୍କୁଟ, କଥୋପକଥନ, ବହୁତ, ପ୍ରଶ୍ନଗୁଡ଼ିକ, ଧରିବା, ଲୋଭୀ ବା ପେଟୁ)
(Listen to your teacher and tick the words he/she reads.)

(b) Your teacher reads aloud the following para. You listen to him and
fill in the blanks.
(ନିମ୍ନଲିଖ ଅନୁଚ୍ଛେଦଟିକୁ ତୁମ ଶିକ୍ଷକ ବଡ଼ପାଟିରେ ପଢ଼ିବେ । ତୁମେ ତାଙ୍କୁ ମନଦେଇ ଶୁଣିବ ଏବଂ ଶୂନ୍ୟସ୍ଥାନଗୁଡ଼ିକୁ ପୂରଣ କରିବ ।)
‘ ‘Then he went out for a walk. He walked, walked, and walked till he met a little thin boy. He had a long conversation with the boy.”

(c) Your teacher dictates five three-lettered words like ‘out’. You listen to him carefully and write the words in the space provided.
(ତୁମ ଶିକ୍ଷକ ‘‘out’’ ପରି ପାଞ୍ଚଟି ତିନି ଅକ୍ଷର ବିଶିଷ୍ଟ ଶବ୍ଦ ଶ୍ରୁତଲିଖନ ଡାକିବେ । ତୁମେ ଯତ୍ନର ସହ ତାଙ୍କୁ ମନଦେଇ ଶୁଣ ଏବଂ ତଳେ ଦିଆଯାଇଥିବା ଫାଙ୍କା ସ୍ଥାନରେ ଶବ୍ଦଗୁଡ଼ିକୁ ଲେଖ ।)
(i)fat, (ii)tea, (iii)big, (iv) boy, (v) eat

Session – 3 ( ସୋପାନ – ୩)

3. Speaking (କଥନ) :
(i) Chain-drill : “Once there lived a greedy, fat old man.”
ସଂଳାପ : “ ଏକଦା ସେଠାରେ ଜଣେ ଲୋଭୀ (ପେଟୁ) ମୋଟା ବୁଢ଼ା ଲୋକ ବାସ କରୁଥିଲା ।
(ii) Dialogue : Teacher vs. students, (Change role) ଶିକ୍ଷକ ବନାମ ଛାତ୍ରମାନେ, (ଭୂମିକା ବଦଳାଇ) Students vs. Students (Change the role) ଛାତ୍ରମାନେ ବନାମ ଛାତ୍ରମାନେ (ଭୂମିକା ବଦଳାଇ)
Old man: Have you brushed your teeth ?
ବୃଦ୍ଧଲୋକ : ତୁମେ ତୁମ ଦାନ୍ତ ସଫା କରିଛ କି ?
Boy :No, I haven’t.
ବାଳକ : ନା, ମୁଁ କରିନି ।
Oldman: Do you have enough biscuit to eat ?
ବୃଦ୍ଧଲୋକ : ତୁମର ବହୁତ ବିସ୍କୁଟ୍ ଖାଇବାକୁ ଅଛ କି ?
Boy : No, I don’t have.
ବାଳକ : ନା, ମୋ’ର ନାହିଁ ।

4. Mental Talk – (ମାନସିକ କଥୋପକଥନ) :
“Old man, old man, what makes you so fat ?”
(ବୃଦ୍ଧବ୍ୟକ୍ତି, ବୃଦ୍ଧବ୍ୟକ୍ତି, କ’ଣ ତୁମକୁ ଏତେ ମୋଟା କରିଛି ?)

Session – 4 (ଚତୁର୍ଥ ପର୍ୟ୍ୟାୟ)

5. Writing- (ଲେଖୁବା) :
(a) Answer the following questions.
(କବିତାଟି କେଉଁ ବିଷୟରେ ଆଧାରିତ ?)

Question (i)
What is the story about?
(ଗପଟି କେଉଁ ବିଷୟରେ ଆଧାରିତ ?)
Answer:
The story is about an old man and a boy.

Question (ii)
How much tea did the old man take?
(ବୁଢ଼ାଲୋକଟି କେତେ ଚା’ ପିଇଲା ?)
Answer:
The old man took two mugs of tea

Question (iii)
Whom did the old man meet on the way?
(ବୁଢ଼ାଲୋକଟି ବାଟରେ କାହାକୁ ଭେଟିଲା ?)
Answer:
On the wav, the old man met a little thin boy.

Question (iv)
What did the old man do with the boy?
(ବୁଢ଼ାଲୋକଜଣକ ବାଳକଟି ସହିତ କ’ଣ କଲା ?)
Answer:
The old man caught the boy and ate him up.

Session – 5 (ପଞ୍ଚମ ପର୍ୟ୍ୟାୟ)

(i) Given below is a daily timetable of Gopal. Based on the timetable, write a paragraph about Gopal’s daily habits. The first sentence is done for you.
(ନିମ୍ନରେ ଗୋପାଳର ଏକ ଦୈନନ୍ଦିନ ସମୟ ନିର୍ଘଣ୍ଟ ଦିଆଯାଇଛି । ସେହି ସମୟ-ନିର୍ଘଣ୍ଟକୁ ଭିଭିକରି, ଗୋପାଳର ଦୈନନ୍ଦିନ ଅଭ୍ୟାସ ବିଷୟରେ ଏକ ଅନୁଚ୍ଛେଦ ଲେଖ । ପ୍ରଥମ ବାକ୍ୟଟି ତୁମ ପାଇଁ କରି ଦିଆଯାଇଛି ।)

get up 6 a.m.
brush teeth 6.30 a.m.
take bath 7 a.m.
take breakfast 7.30 a.m.
go to school 9.30 a.m.
come back from school 4.30 p.m.

Gopal gets up at 6 a.m. He brushes his______
_________________________________
_________________________________
_________________________________

Answer:
Gopal gets up at 6 a.m. He brushes his teeth at 6.30 a.m. He takes his bath at 7 a.m. He takes his breakfast at 7.30 a.m. He goes to school at 9.30 a.m. He comes back from school at 4.30 p.m. Now join the written six sentences into two. The first one is done for you.
(ବର୍ତ୍ତମାନ ଲେଖାଯାଇଥ‌ିବା ୬ଟି ବାକ୍ୟକୁ ଯୋଗକରି ଦୁଇଟି ବାକ୍ୟ କର । ପ୍ରଥମଟି ତୁମ ପାଇଁ କରି ଦିଆଯାଇଛି ।)

Gopal gets up at 6 a.fn., brushes his teeth at 6.30 a.m., and takes his bath at 7 a.m.
Answer:
He takes his breakfast at 7.30 a.m.. goes to school at 9.30 a.m, and comes back from school at 4.30 p.m.

get up take breakfast
brush teeth go to school
take bath come back from school

Now write six sentences about yourself using the hints above.
(ବର୍ତ୍ତମାନ ଉପର ସୂଚନାକୁ ବ୍ୟବହାର କରି ତୁମ ବିଷୟରେ ଛଅଟି ବାକ୍ୟ ଲେଖ ।)
I get up at_______________________
I brush_________________________
______________________________
______________________________
______________________________
______________________________
Answer:
I get up at 6 a.m. I brush my teeth at 6.30 a.m. I take my bath at 7 a.m. I take my breakfast at 7.30 a.m. I go to school at 9.30 a.m. I come back from school at 4.30 p.m.

Session – 6 (ଷଷ୍ଠ ପର୍ଯ୍ୟାୟ)

(b) Now join the six sentences into two and write as done before.
(ବର୍ତ୍ତମାନ ଛଅଟିଯାକ ବାକ୍ୟକୁ ଯୋଗକରି ଦୁଇଟି ବାକ୍ୟ କର ଏବଂ ପୂର୍ବରୁ କରାଯାଇଥିବା ଭଳି ଲେଖ ।)
Answer:
I get up at 6 a.m.. brush my teeth at 6.30 a.m. and take my bath at 7 a.m. I take my breakfast at 7.30 a.m.. go to school at 9.30 a.m. and come back to school at 4.30 p.m.

(c) Given below is the cover of a tooth paste
(ନିମ୍ନରେ ଦାନ୍ତଘଷା ପେଷ୍ଟର ଖୋଳ ଦିଆଯାଇଛି ।)
Read carefully what is written on the cover. First, fill in the form, then, write a paragraph about the toothpaste. Some help are provided for you.
(ଖୋଳ ଉପରେ ଯାହା ଲେଖାଯାଇଛି ଯତ୍ନ ସହକାରେ ପଢ଼ । ପ୍ରଥମେ ଫର୍ମଟିକୁ ପୂରଣ କର; ଦାନ୍ତଘଷା ପେଷ୍ଟ ବିଷୟରେ ଏକ ଅନୁଚ୍ଛେଦ ଲେଖ । ତୁମ ପାଇଁ କିଛି ସାହାଯ୍ୟ ଯୋଗାଇ ଦିଆଯାଇଛି ।)

BSE Odisha 6th Class English Solutions Lesson 2 A Greedy Fat Old Man (I)

1 Name of the product Colgate Max Fresh
2 Made by Colgate
3 Nett weight 50 g
4 Date of manufacture Mar / 17
5 Expiry date Feb / 18
6 Price Rs. 20/-
7 Use Brush twice daily

Paragraph (ଅନୁଚ୍ଛେଦ):
The name of the toothpaste is Colgate Max Fresh. It is made by Colgate company. Its net weight is 50 grams. Its date of manufacture is March. 2017. Its expiry date is February. 2018. Its price is Rs. 20/-. Its use is to brush twice daily.

CHSE Odisha Class 12 Math Solutions Chapter 7 Continuity and Differentiability Ex 7(b)

Odisha State Board Elements of Mathematics Class 12 CHSE Odisha Solutions Chapter 7 Continuity and Differentiability Ex 7(b) Textbook Exercise Questions and Answers.

CHSE Odisha Class 12 Math Solutions Chapter 7 Continuity and Differentiability Exercise 7(b)

Question 1.
Differentiate from definition
(i) e3x
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 7 Continuity and Differentiability Ex 7(b) Q.1

(ii) 2x2
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 7 Continuity and Differentiability Ex 7(b) Q.2

CHSE Odisha Class 12 Math Solutions Chapter 7 Continuity and Differentiability Ex 7(b)

(iii) In (3x + 1)
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 7 Continuity and Differentiability Ex 7(b) Q.3

(iv) logx5 (Hint : logx5 = \(\frac{\ln 5}{\ln x}\))
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 7 Continuity and Differentiability Ex 7(b) Q.4

(v) In sin x
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 7 Continuity and Differentiability Ex 7(b) Q.5

(vi) x2 a2x
Solution:
CHSE Odisha Class 12 Math Solutions Chapter 7 Continuity and Differentiability Ex 7(b) Q.6