I’d Like to Be Question Answer Class 7 English Chapter 1 BSE Odisha

Odisha State Board BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be…. Textbook Exercise Questions and Answers.

Class 7th English Chapter 1 I’d Like to Be Question Answers BSE Odisha

I’d Like to Be Class 7 Questions and Answers

Session – 1 (ଶବ୍ଦାବଳୀ)

I. Pre-Reading (ପୂର୍ବ ପ୍ରସ୍ତୁତି)

  • Socialization (ସାମାଜିକୀକରଣ):
  • Teacher will ask (ଶିକ୍ଷକ ପଚାରିବେ):

Question 1.
What do you want to be in future? (Students will reply).
(ତୁମ୍ଭେମାନେ ଭବିଷ୍ୟତରେ କ’ଣ ହେବାକୁ ଇଚ୍ଛା କର ?) (ଛାତ୍ରଛାତ୍ରୀମାନେ ଉତ୍ତର ଦେବେ)
Answer: I want to be a soldier in future.

Next, s/he will help the students do the following chain-drill activity.
(ପରେ ପରେ ଶିକ୍ଷକ ଛାତ୍ରଛାତ୍ରୀମାନଙ୍କୁ ନିମ୍ନୋକ୍ତ ଶୃଙ୍ଖଳ-ଅଭ୍ୟାସ କାର୍ଯ୍ୟାବଳୀରେ ସାହାଯ୍ୟ କରିବେ ।)

(Teacher writes the following text on the blackboard)
(ଶିକ୍ଷକ ବ୍ଲାକବୋର୍ଡରେ ନିମ୍ନଲିଖିତ ପାଠ ଲେଖନ୍ତି |)

I’m __________ (name).
I want to be a __________.
What’s about you?

After the chain-drill is over, the teacher will say :
(ଜଣ ଜଣ କରି ସମସ୍ତଙ୍କୁ ଶୃଙ୍ଖଳ ଅଭ୍ୟାସ ସମାପନ ପରେ ଶିକ୍ଷକ କହିବେ:)

All of you told what you want to become in future.
(ତୁମ୍ଭେମାନେ ସମସ୍ତେ ଭବିଷ୍ୟତରେ କ’ଣ ହେବାକୁ ଚାହଁ ବୋଲି କହିଲ ।)

Let’s read a poem and see what the poet wants to be.
(ଆସନ୍ତୁ ଗୋଟିଏ କବିତା ପଢ଼ି ଦେଖିବା କବି କ’ଣ ହେବାକୁ ଚାହୁଁଛନ୍ତି.)

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be....

II. While Reading (ପଠନକାଳୀନ)
Text(ପାଠ୍ୟବସ୍ତୁ)

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

I’d like to be a monkey
And climb the tree so high,
Jumping from branch to branch
Till I reach the sky.
Playing and skipping all day long
Dancing and eating too!
I’d like to be a monkey.
What about you?

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be session 1

ଓଡ଼ିଆ ଅନୁବାଦ :
ମୁଁ ଗୋଟେ ମାଙ୍କଡ଼ ହେବାକୁ ଭଲ ପାଇବି
ଏବଂ ଉଚ୍ଚ ଉଚ୍ଚ ବୃକ୍ଷସବୁ ଆରୋହଣ କରିବି,
ଡାଳରୁ ଡାଳକୁ ଡେଇଁ ଡେଇଁବି
ଆକାଶକୁ ଛୁଇଁବା ଯାଏ ।
ଖେଳିବି ଏବଂ ଡିଆଁ ମାରିବି ଦିନ ତମାମ
ନୃତ୍ୟକରି ଏବଂ ଖାଦ୍ୟ ଖାଇ ଖାଇ
ହେବି ମୁଁ ଏକ ମାଙ୍କଡ଼
ତୁମ କଥା କ’ଣ?

I’d like to be a tiger
And roam the jungle deep,
Lying in sunlight all day long
Warm and fast asleep.
Searching all night through.
I’d like to be a tiger.
What about you ?

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be session 1.1

ହେବି ମୁଁ ଏକ ବାଘ
ବୁଲିବି ଘଞ୍ଚ ଜଙ୍ଗଲରେ ଘୂରି ଘୂରି
ଦିନ ତମାମ ସୂର୍ଯ୍ୟାଲୋକରେ ପଡ଼ି
ଶୋଇଯିବି ଗାଢ଼ ନିଦରେ ଉଷ୍ଣତା ପାଇ ।
ରାତିସାରା ଖୋଜି ଖୋଜି (ଖାଦ୍ୟ ବା ଶିକାର)
ହେବି ମୁଁ ଏକ ହିଂସ୍ର ବ୍ୟାଘ୍ର
ଆଉ ତୁମେ କ’ଣ ?

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be....

Notes And Glossary: (ଶବ୍ଦାର୍ଥ) :
monkey – ମାଙ୍କଡ଼
climb – ଚଢିବା
so – ତେଣୁ
high – ଉଚ୍ଚ
jumping – ଡେଇଁବା
branch to branch – ଶାଖାରୁ ଶାଖା
all day long – ଦିନ ତମାମ
too – ମଧ୍ୟ
till – ପର୍ଯ୍ୟନ୍ତ
reach – ପହଞ୍ଚିବା
warm – ଗରମ
fast – ଦ୍ରୁତ
searching – ଖୋଜୁଛି
all night through – ସାରା ରାତି ଧରି
skipping – ସ୍କିପିଙ୍ଗ୍
roam – ବୁଲିବା
lying – ମିଛ କହୁଛି
asleep – ନିଦ୍ରିତ
sky – ଆକାଶ
deep – ଗଭୀର

  • Your teacher will read the poem aloud. You will listen to him/her without opening your book. S/he will ask you :
    (ତୁମ ଶିକ୍ଷକ କବିତାଟିକୁ ବଡ଼ପାଟିରେ ପାଠ କରିବେ । ତୁମେ ବହି ନଖୋଲି ମନଯୋଗ ଦେଇ ଶୁଣିବ । ଶିକ୍ଷକ ପଚାରିବେ:)

Who are there in the poem? (କବିତାଟିରେ କେଉଁମାନେ ଅଛନ୍ତି ?)
Answer: The monkey and the tiger are there in the poem.

Who is I? (କିଏ ‘I’)
Answer: Here I refers to the poet.

Who are ‘you’? (‘you’ କିଏ’)
Answer: You, refers to the reader in the poem.

  • Your teacher will read the poem aloud. You listen to him/her and see the poem in your book.
    ( ତୁମ ଶିକ୍ଷକ ଉଚ୍ଚ ସ୍ବରରେ କବିତାଟିକୁ ପାଠ କରିବେ । ତୁମେ ତୁମ ବହିରେ କବିତାଟିକୁ ଦେଖିବା ସହ ଶୁଣିବ ।)
  • You read the poem silently. Your teacher will ask you some questions. Try to answer.
    (କବିତାଟିକୁ ନୀରବରେ ପାଠ କର । ଶିକ୍ଷକ ତୁମକୁ କେତେଗୁଡ଼ିଏ ପ୍ରଶ୍ନ ପଚାରିବେ । ଉତ୍ତର ଦେବାକୁ ଚେଷ୍ଟା କର ।)

Comprehension Questions : (ବୋଧପରିମାପକ କାର୍ଯ୍ୟାବଳୀ) :
If the child became a monkey, (ପିଲାଟି ମାଙ୍କଡ଼ଟିଏ ହୋଇଥିଲେ,)

1. Where would it climb ? (ଏହା କେଉଁଠାରେ ଚଢ଼ିଥା’ନ୍ତା?)
Answer:
It would climb up the tree very high.

2. Where would it jump ? (ଏହା କେଉଁଠାରେ କୁଦା ମାରିଥା’ନ୍ତା?)
Answer:
It would jump from branch to branch in a tree.

3. What would it do all day long ? (ଏହା ଦିନସାରା କ’ଣ କରିଥା’ନ୍ତା ?)
Answer:
It would play, skip, dance and eat all day long.

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be....

If the child were a tiger, (ପିଲାଟି ବାଘଟିଏ ହୋଇଥିଲେ, )

4. Where would it move about? (ଏହା କେଉଁଠାରେ ବୁଲିଥା’ନ୍ତା ?)
Answer:
It would roam the deep and dense (ଘନ) forest.

5. What would it do all day long? (ଏହା କେଉଁଠାରେ ବୁଲିଥା’ନ୍ତା ?)
Answer:
It would lay down itself warm and fast asleep in sunlight all day long.

6. When would it search for food?
(ଏହା ଦିନସାରା କ’ଣ କରିଥା’ନ୍ତା?)
Answer:
It would search for food throughout the night.

Session – 2 (ଦ୍ଵିତୀୟ ପର୍ଯ୍ୟାୟ)

III. Post-Reading (ପଠନ ପରବର୍ତ୍ତୀ)
1. Visual Memory Development Technique (VMDT) :
(ଦୃଶ୍ୟ ସ୍ମୃତି ବିକାଶ କୌଶଳ)
Whole – Text: Which stanza talks about a monkey – which stanza about a tiger
Answer: The first stanza talks about a monkey.
The second stanza talks about a tiger.
Part : Stanza-1 : dancing and eating, climb the tree, playing
ନୃତ୍ୟ କରି ଏବଂ ଖାଦ୍ୟ ଖାଇ ଖାଇ, ବୃକ୍ଷ ଆରୋହଣ କରି କରି ଏବଂ ଖେଳି ଖେଳି

2. Comprehension Activities (ବୋଧପରିମାପକ କାର୍ଯ୍ୟାବଳୀ):
(a) MCQs : Tick (V) the correct alternative :

Question 1.
The child wishes to be
(A) a lion
(C) a monkey
(B) a tiger
(D) both a tiger and a monkey
Answer:
(D) both a tiger and a monkey

Question 2.
A monkey____________.
(A) flies in the sky
(B) dances in river
(C)swims in sea
(D) jumps from branch to branch of a tree
Answer:
(D) jumps from branch to branch of a tree

Question 3.
A tiger roams ___________.
(A) the river
(C) the com field
(B) the forest
(D) the sea beach
Answer:
(B) the forest

Question 4.
The child wishes to be a monkey or a tiger because ____________.
(A) they have a lot to eat
(B) they live in safe forest houses
(C) they get air and water free
(D) they lead a free life
Answer:
(D) they lead a free life

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be....

(b) Provided below are some phrases from the poem. Put them under two heads; ‘Monkey’ and ‘Tiger’. (Question with Answer) roam in deep jungle, dancing and eating, climb the tree, lying in the sunlight, playing and skipping, searching for food at night, jumping from branch to branch.

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be session 2

Answer:

Monkey Tiger
dancing and eating roam in deep jungle
climb the tree Ivins in the sunlieht
plaving and skipping searching for food at night
iumping from branch to branch

3. Listening (ଶୁଣିବା) :

(a) Your teacher will say the following words aloud. Listen to him/her carefully. Mark, in each word one / some letters are silent while speaking. Your teacher will read three times – first listen, then wirte and finally revise. One is done for you.
(ଶିକ୍ଷକ କେତେକ ଶବ୍ଦ ପଠନ କରିବେ । ମନଯୋଗ ପୂର୍ବକ ଶୁଣ ଏବଂ ପଠନବେଳେ ଶବ୍ଦର କେତେକ ଅକ୍ଷର ଉଚ୍ଚାରଣ ନହୋଇ ରହିଯାଉଛି ନିର୍ଣ୍ଣୟ କର ।)

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be session 3

Answer:

Word Silent letter
climb            b            
high            gh          
through            gh          
sunlight            gh          
chalk             l            
comb             b           
bridge             d           
judge             d           
bird              r           

(Teacher provides ideas through correction)
(b) Rhyming words
Teacher will read out the poem. Students listen and underline the rhyming words.
(ଶିକ୍ଷକ କବିତାଟିକୁ ପାଠ କରିବେ । ପିଲାମାନେ ଶୁଣିବେ ଏବଂ ପଦ ପଡ଼ୁଥ‌ିବା ଶବ୍ଦଗୁଡ଼ିକୁ ରେଖାଙ୍କିତ କରିବେ ।)
Answer:
high – sky
deep – asleep
too – you
through – you

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be....

Session – 3 (ତୃତୀୟ ପର୍ଯ୍ୟାୟ)

4. Speaking (କଥନ) :
(a) Chorus Reading (ସାମୂହିକ ପଠନ) :

  • Teacher reads the poem aloud line after line. The class repeats after him/her. (ଶିକ୍ଷକ ଧାଡ଼ି ଧାଡ଼ି କରି କବିତାଟିକୁ ପାଠ କରିବେ ! ସମସ୍ତ ଶ୍ରେଣୀ ପାଳି ଧରିବେ ।)
  • One group of students read out the poem line after line. The other group repeats. (ଶ୍ରେଣୀରେ ଗୋଟିଏ ଦଳ କବିତାଟିକୁ ଧାଡ଼ି ଧାଡ଼ି କରି ଆବୃତ୍ତି କରିବେ । ଅନ୍ୟ ଦଳ ପାଳି ଧରିବେ । )
  • The role of the groups changes.(ଦଳ ବଦଳ ରୂପେ ପୂର୍ବପରି ଆବୃତ୍ତି କରିବେ ।)

(b) Conversation (କଥୋପକଥନ) :
This activity is to be done in pairs or in groups.
( ଏହି କାର୍ଯ୍ୟାବଳୀ ଯୋଡ଼ ଯୋଡ଼ କରି କିମ୍ବା ଦୁଇଟି ଦଳରେ ବିଭକ୍ତ କରି କରାଯିବ ।)
Group A : What will you do if you become a monkey ?
ତୁମେ ମାଙ୍କଡ଼ ହୋଇଥିଲେ କ’ଣ କରିଥା’ତ ? )
Group B : I’ll climb the tree, jump from branch to branch.
ମୁଁ ଗଛ ଉପରକୁ ଚଢ଼ି ଡାଳରୁ ଡାଳକୁ ଡିଆଁ ମାରିଥା’ନ୍ତି ।)

Group A : What else ?
(A – କ) : ଆଉ କ’ଣ
Group B : I’ll also play, skip, dance and eat all day.
(B – ବି) : (ମୁଁ ଖେଳନ୍ତି, ନାଚନ୍ତି, ଡିଆଁ ମାରନ୍ତି ଏବଂ ଦିନତମାମ୍ ଖାଇ ଚାଲନ୍ତି ।)
Group A : If you become a tiger, where will you move ?
(A – କ) : (ତୁମେ ବାଘ ହୋଇଥିଲେ କେଉଁଠି ଚରାବୁଲା କରନ୍ତ ?)
Group B : In the deep jungle.
(B – ବି) : (ଘଞ୍ଚ ଜଙ୍ଗଲରେ )
Group A : Where will you sleep?
(A – କ) : (ତୁମେ କେଉଁଠି ଶୋଇଥା’ନ୍ତ ?)
Group B : Under the warm sunlight
(B – ବି) : (ଉଷୁମ ସୂର୍ଯ୍ୟାଲୋକରେ ।)
Group A : What will you do at night ?
(A – କ) : (ତୁମେ ରାତ୍ରିରେ କ’ଣ କରନ୍ତ ?)
Group B : Search food.
(B – ବି) : (ରାତ୍ରିରେ ଖାଦ୍ୟ ଅନ୍ଵେଷଣ କରନ୍ତି ।)

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be....

Pairs of students can talk about becoming a doctor, nurse, soldier, farmer etc.
Teacher will help and guide the students.
(ଯୋଡ଼ି ଯୋଡ଼ି ଛାତ୍ରଛାତ୍ରୀ ସେହିଭଳି କଥୋପକଥନ କର ।)
A – What would you do if you become a doctor ?
B – I would treat the ailing.
A – What would you do if you become a nurse?
B – I would nourish the patients if I become a nurse.
A – What would you do if you become a soldier?
B – I would save my country from the enemies at the cost of my life if I become a soldier.
A – What would you do if you become a farmer?
B – I would engage myself cultivating the land to produce food grains to feed my country men leaving none hungry.

Session – 4 (ଚତୁର୍ଥ ପର୍ୟ୍ୟାୟ)

5. Vocabulary ଶବ୍ଦାବଳୀ:
Some words are described below. Can you find them in your poem?
(ନିମ୍ନରେ କେତେକ ଶବ୍ଦ ପ୍ରଦତ୍ତ ହୋଇଅଛି । ତୁମେ କବିତାରୁ ସେଗୁଡ଼ିକୁ ଖୋଜି ପାଇବ କି ?)
(Question with Answer)

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be session 4

Answer:

CLUES WORDS
the national animal of India Tiger
a part of the tree where birds build their nest Branch
it gives us flowers and fruits Tree
the opposite of the day Night
a man-like animal that jumps from branch to branch Monkey
the sun, moon and stars are here Sky
wild animals live in it Forest/Jungle
a word for ‘look for’ Search
we eat it to live Food
we get it from the sun all day Sunlight

Session – 5 (ପଞ୍ଚମ ପର୍ୟ୍ୟାୟ)

6. Usage (ପ୍ରଚଳିତ ପ୍ରୟୋଗ) :
1. Look at the underlined parts in the following sentences.
(ନିମ୍ନ ବାକ୍ୟଗୁଡ଼ିକରେ ରେଖାଙ୍କିତ ଅଂଶକୁ ଲକ୍ଷ୍ୟ କର ।)
I’d like to be a monkey.
I’d like to be a tiger.
‘I’d’ is the short form of ‘I would’.
(‘I’d’ ‘ I would’ର ସଂକ୍ଷିପ୍ତ ରୂପ ଅଟେ । ଅସମ୍ଭବ ଅର୍ଥରେ ଏହା ବ୍ୟବହୃତ ହୁଏ ।)
‘Would’ is used in its short form – ’d’ in speech and in writing.
We use the would (’d) / wouldn’t when we imagine a situation or action (=we think of something that is not real).
The poet as human being can never be an animal such as a monkey or a lion.
But he wishes or imagines to become a monkey or a lion which is unreal.
Now use ‘I’d _____’ to say the following situations.
I’d ବ୍ୟବହାର କରି ନିମ୍ନ ପରିସ୍ଥିତିଗୁଡ଼ିକୁ ପ୍ରକାଶ କର ।
One is done for you.
(i) You think of becoming a butterfly.
I’d like to be a butterfly.
(ii) You wish to be a bird. ______________________
(iii) You love to live near a jungle. ____________________
(iv) You wish to buy a car (but you are not so rich to buy it). _____________
(v) You imagine to be the President of India. ______________
(vi) You love to become a king. ______________

Answer:
(i) I’d like to be a butterfly.
(ii) I’d like to be a bird.
(iii) I’d like to live near a jungle.
(iv) I’d like to buy a car.
(v) I’d like to be the President of India.
(vi) I’d like to be a king

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be....

Session – 6 (ଷଷ୍ଠ ପର୍ଯ୍ୟାୟ)

7. Writing (ଲିଖନାତ୍ମକ)
(a) Write answers to the following questions.
ନିମ୍ନପ୍ରଶ୍ନଗୁଡିକର ଉତ୍ତର ପ୍ରଦାନ କର ।

(i) What does the poet wish to be?
(କବି କ’ଣ ହେବାକୁ ଇଚ୍ଛା କରନ୍ତି ?)
Answer:
The poet wishes to be either a moneky or a tiger.

(ii) Why does he like to become an animal like a monkey or a tiger?
(ସେ କାହିଁକି ଏକ ମାଙ୍କଡ଼ ବା ବାଘ ଭଳି ପଶୁ ହେବାକୁ ଚାହାଁନ୍ତି ?)
Answer:
He likes to be an animal like a monkey or a tiger to lead a free life.

(iii) What does a monkey enjoy doing?
(ମାଙ୍କଡ଼ କ’ଣ କରି ଉପଭୋଗ (ମଜା) କରେ ?)
Answer:
A monkey enjoys climbing high up in a tree: jumping from branch to branch: playing, skipping, dancing and eating when so ever all dav long.

(iv) Where does a tiger walk about freely?
(ବାଘ କେଉଁଠାରେ ମୁକ୍ତାଭାବେ ବୁଲିଥାଏ ?)
Answer:
A tiger walks about freely in a deep and dense forest.

(v) What does the tiger do all day long?
(ଏକ ବାଘ ଦିନସାରା କ’ଣ କରେ ?)
Answer:
The tiger sleeps deep sleep lying in warm sunlight all day long.

(vi) What does he do at night?
(ସେ ରାତିରେ କ’ଣ କରେ ?)
Answer:
He searches/hunts for his prey at night.

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be....

(vii) Go back to [2b] Comprehension activities
(b) You have listed the phrases under two heads – Monkey and Tiger. Using the phrases you have listed, write two small paras, one on ‘monkey’ and one on ‘tiger’.
Follow these model sentences.
Monkey
Monkey loves dancing and eating.
_____________________________________________
_____________________________________________
Tiger
Tiger roams the deep jungle.
_____________________________________________
_____________________________________________

Answer:
Monkey :
Monkey loves dancing and eating. It loves to climb the tree. It loves playing and skipping. It loves jumping from branch to branch.
Tiger :
Tiger roams the deep jungle. Lying in the sunlight the tiger warms itself and fast asleep. The tiger moves through the jungle, searching for food at night.

Session – 7 (ସପ୍ତମ ପର୍ୟ୍ୟାୟ)

8. Mental Talk (ମାନସ କଥନ) :
“Wild animals lead a free life”.
( ବନ୍ୟପ୍ରାଣୀମାନେ ମୁକ୍ତ ଜୀବନଯାପନ କରନ୍ତି ।)

9. Let’s Think (ଚାଲ ଚିନ୍ତା କରିବା ବା କଳ୍ପନା କରିବା)

  • Animals in the woods are bom free. They lead a free life in the lap of nature. Should we put them in chains at a zoo or in circus?
    ( ଜଙ୍ଗଲରେ ଜୀବମାନେ ମୁକ୍ତ ଭାବରେ ଜନ୍ମଗ୍ରହଣ କରିଥା’ନ୍ତି । ସେମାନେ ପ୍ରକୃତି କୋଳରେ ମୁକ୍ତ ଜୀବନଯାପନ କରନ୍ତି । ଆମେ ସେମାନଙ୍କୁ (ଆମ୍ଭ ମଣିଷର ଦର୍ଶନ ଉପଭୋଗ ପାଇଁ) ଚିଡ଼ିଆଖାନା ବା ସର୍କସରେ ଶିକୁଳିଯୁକ୍ତ କରି ବାନ୍ଧି ରଖୁବା ଉଚିତ କି ?)

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be…. Important Questions and Answers

(A) Choose the right answer from the options.

Question 1.
The child likes to be a monkey because he could –
(i) climb the tree
(ii) jump from branch to branch
(iii) play and skip
(iv) all the above
Answer:
(iv) all the above

Question 2.
Being a monkey the child wants to jump –
(i) from branch to branch
(ii) down the ground
(iii) high above the tree
(iv) none of these
Answer:
(i) from branch to branch

BSE Odisha 7th Class English Solutions Lesson 1 I’d Like to Be....

Question 3.
The child wants to be a tiger because he could
(i) kill the animals
(ii) roam in the jungle
(iii) be a king of forest
(iv) all the above
Answer:
(ii) roam in the jungle

(B) Answer the following questions.

Question 1.
If the child became a monkey what would he do?
Answer:
If the child would become a monkey, he would climb the tree, jump from branch to branch. He would play, skip, dance and eat all day long.

Question 2.
If the child became a tiger what would he do?
Answer:
If the tiger would become a tiger, he could roam in the deep jungle, expose itself in the sunlight and lie fast asleep. It would search for food at night.

BSE Odisha 7th Class English Solutions Part – II

CHSE Odisha Class 11 Math Notes Chapter 1 Mathematical Reasoning

Odisha State Board CHSE Odisha Class 11 Math Notes Chapter 1 Mathematical Reasoning will enable students to study smartly.

CHSE Odisha 11th Class Math Notes Chapter 1 Mathematical Reasoning

Proposition: (Mathematically Acceptable)
A proposition (or mathematically acceptable statement) is a declarative sentence that is either true or false but not both.
(1) Thus a sentence will be a statement if

  • It is declarative
  • It has a truth value (either true (T) or false (F).

(2) A sentence cannot be a statement if it is
(i) A question
(ii) An order
(iii) An exclamation
(iv) A wish
(v) Advice or it involves

  • variable time like ‘today’, ‘tomorrow’, ‘yesterday’ etc.
  • Variable place like ‘here’, ‘there’, etc.
  • pronouns like ‘he’, ‘she’, ‘they’ etc.
  • Relative words/adjectives / undefined words like ‘good’, ‘bad’, ‘beautiful’, ‘wise’ etc
  • Variable x, y, z, u, v….etc

(3) We denote statements by same letters are p, q, r, s, etc.

Negative (~): Denial of a statement is its negation.
Axiom of negation:
For any proposition p, if p is true, then ~p (Negation of p) is false and if p is false, then ~p is true,
Truth table of Negation:

p ~p
T F
F T

Logical Connectives:

  • Two statements can be combined together by using the words like or, and, if, only if, if and only if etc. These are known as logical connectives.
  • A proposition in which one or more connectives appear is known as a composite or compound proposition.

CHSE Odisha Class 11 Math Notes Chapter 1 Mathematical Reasoning

Conjunction (∧), (and):
Axiom: A conjunction p ∧ q is true if both ‘p’ and ‘q’ are both true and false otherwise.
Truth table:

p q p ∧ q
T T T
T F F
F T F
F F F

Disjunction (∨) (or):
Axiom: A disjunction p ∨ q is false only when both ‘p’ and ‘q’ are false and is true otherwise.
Truth table:

p q p ∨ q
T T T
T F T
F T T
F F F
  • Inclusive and exclusive sense of ‘OR’

→ An employee either goes on leave or attends to his duty. (Exclusive)
→ In this restaurant you can order veg or non-veg items. (Inclusive)

Conditional (→)(if … then):
Axiom: A conditional p → q is false only when ‘p’ is true and ‘q’ is false in all other cases it is true.
Truth table:

p q p → q
T T T
T F F
F T T
F F T

Converse, Inverse and Contrapositive:

  • Converse of p → q is q → p
  • Inverse of p → q is ~p → ~q
  • Contra positive of p → q is ~q → ~ p

Biconditional (p ↔ q)(p if and only if q):
Axiom: A biconditional p ↔ q is true if both ‘p’ and ‘q’ have same truth value and is false otherwise.
Truth table:

p q p ↔ q
T T T
T F F
F T F
F F T

Equivalent statements:
Two statements ‘p’ and ‘q’ are said to be equivalent statements if they have same truth values.

Tautology:
A statement is a tautology if it is always true:

CHSE Odisha Class 11 Math Notes Chapter 1 Mathematical Reasoning

Implication and double implication:

  • If a conditional p → q is a tautology then we say p implies q and we write P ⇒ q
  • If a biconditional p ↔ q is a tautology and we write p ⇒ q.

Contradiction:
A contradiction we mean a proposition that is false for all possible assignments of truth values to its prime components.

Logical Quantifiers:
Logical quantifiers are the words that associate a quantity to it. There are two types of logical quantifiers.
(i) Existential (There exists)
(ii) Universal (For all, for every).

Validity Of Statements
A statement is said to be valid if it is true.
Techniques to check the validity of a statement:

Validity Of Statements With ‘And’
To prove p ∧ q is true we follow the following steps :
Step – 1: Show that ‘p’ is true.
Step – 2: Show that ‘q’ is true.

Validity Of Statements With ‘ OR’
To prove p ∧ q is true we have to consider the following cases :
Case – 1: By assuming p is false, prove that q is true.
Case – 2: By assuming q is false, prove that p is true.

Validity Of Statements With ‘if … then’
To prove if ‘p’ then ‘q’ is true we can adopt any one of the following methods.

  • Method – 1 (Direct Method):
    Assume ‘p’ is true and prove that ‘q’ is true (i.e. p ⇒ q)
  • Method – 2 (Contrapositive Method):
    Assume ‘q’ is false and prove that ‘p’ is false. (i.e. ~ q ⇒ ~ p)
  • Method – 3 (Contradiction Method):
    → Assume that p → q is false, i.e. p is true and q is false
    → Obtain an absurd result
    → This is due to our false assumption.
    → Thus by the method of contradiction p → q is true. i.e., the statement is valid.
  • Method – 4 (By giving a counter-example):
    To prove a statement is false we give a single example where it is false.

Validity Of Statement With ‘if and only if’.
To prove ‘p’ if and only if ‘q’ is true we have to follow the following steps.
Step – 1: Take ‘p’ is true and prove that ‘q’ is true.
Step – 2: Take q is true and prove that ‘p’ is true.

CHSE Odisha Class 12 Text Book Solutions | +2 2nd Year Science Arts Commerce Book Solutions Pdf Download

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BSE Odisha Solutions

CHSE Odisha Class 12 Math Notes – Elements of Mathematics Class 12 Notes

CHSE Odisha 12th Class Math Notes | Elements of Mathematics Class 12 Notes CHSE Odisha

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CHSE Odisha Class 12 Math Book Solutions | Elements of Mathematics Class 12 CHSE Odisha Solutions Pdf Download

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Elements of Mathematics CHSE Solutions Class 12 Chapter 1 Relation and Function

CHSE Math Solution Class 12 Pdf Chapter 2 Inverse Trigonometric Functions

Elements of Mathematics Class 12 Volume 2 Chapter 3 Linear Programming

Elements of Mathematics Class 12 Book Solutions Chapter 4 Matrices

CHSE Odisha Class 12 Math Book Pdf Download Chapter 5 Determinants

Elements of Mathematics Class 12 CHSE Odisha Pdf Download Chapter 6 Probability

Elements of Mathematics Class 12 CHSE Odisha Solutions Chapter 7 Continuity and Differentiability

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Elements of Mathematics Class 12 Odisha Pdf Download Chapter 12 Vectors

Elements of Mathematics Class 12 Solutions CHSE Odisha Chapter 13 Three Dimensional Geometry

CHSE Odisha Class 12 Maths Syllabus (+2 2nd year)

Mathematics (+2 2nd year)
Course Structure

Unit Topic Marks No. of Periods
I Relations and Functions & Linear Programming 20 45
II Algebra and Probability 20 45
III Differential Calculus 20 45
IV Integral Calculus 20 45
V Vector 3-D Geometry 20 45
Total 100 220

General Instructions:

  1. All questions are compulsory in Group A, which are very short answer-type questions. All questions in the group are to be answered in one word, one sentence, or as per the exact requirement of the question. (1 × 10 = 10 Marks)
  2. Group B contains 5(five) questions and each question has 5 bits, out of which only 3 bits are to be answered (Each bit carries 4 Marks) (4 × 15 = 60 Marks)
  3. Group-C contains 5(five) questions and each question contains 2/3 bits, out of which only 1(one) bit is to be answered. Each bit caries 6(six) Mark (6 × 5 = 30 Marks)

Unit I Relations and Functions

Chapter 1 Relations and Functions
Types of relations, reflexive, symmetric, transitive, and equivalence relations. One-to-one and onto functions, composite functions, the inverse of a function. Binary operations.

Chapter 2 Inverse Trigonometric Functions
Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.

Chapter 3 Linear Programming
Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P) problems, mathematical formulation of L.P problems, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded and unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Unit II Algebra

Chapter 4 Matrices
Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew-symmetric matrices. Operation on matrices; Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication, and scalar multiplication. Noncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrices (restrict to square matrices of order 2). concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

Chapter 5 Determinants
Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, co-factors and applications of determinants in finding the area of a triangle, and Adjoint and inverse of a square matrix. Consistency, inconsistency, and a number of solutions of a system of linear equations by examples, solving a system of linear equations in two or three variables (having unique solution) using the inverse of a matrix.

Chapter 6 Probability
Conditional probability, multiplication theorem on probability. Independent events, total probability, Baye’s theorem, Random variable, and its probability distribution, mean and variance of a random variable. Independent (Bernoulli) trials and Binomial distribution.

Unit III Differential Calculus

Chapter 7 Continuity and Differentiability
Continuity and differentiability, a derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.
Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second-order derivatives. Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretation.

Chapter 8 Applications of Derivatives
Applications of derivatives: rate of change of bodies, increasing and decreasing functions, tangents, and normals, use of derivatives in approximation, maxima, and minima (first derivative test motivates geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).

Unit IV Integral Calculus

Chapter 9 Integration
Integration as the inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions, and by parts, Evaluation of simple integrals of the following types and problems based on them.
\(\int \frac{d x}{x^2 \pm a^2}, \int \frac{d x}{x^2 \pm a^2}, \int \frac{d x}{a^2-x^2}, \int \frac{d x}{a x^2+b x+c}\)
\(\int \frac{d x}{a x^2+b x+c}, \int \frac{p x+q}{a x^2+b x+c} d x\)
\(\int \frac{p x+q}{a x^2+b x+c} d x, \int \sqrt{a^2 \pm x^2} d x\)
\(\int \sqrt{x^2-a^2} d x\)
\(\int \sqrt{a x^2+b x+c} d x, \int(p x+q) \sqrt{a x^2+b x+c} d x\)
Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.

Chapter 10 Applications of the Integrals
Applications in finding the area under simple curves, especially lines, circles/parabolas/ ellipses (in standard form only). The area between any of the two above-said curves (the region should be clearly identifiable).

Chapter 11 Differential Equations
Definition, order, and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by the method of separation of variables, solutions of homogeneous differential equations of the first order and first degree. Solutions of linear differential equation of the type:
\(\frac{dy}{dx}\) + py = q, wherep and q are functions of x or constants.
\(\frac{dx}{dy}\) + px = q, where p and q are functions of y or constants.

Unit V Vectors and Three-Dimensional Geometry

Chapter 12 Vectors
Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, the addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties, and application of scalar (dot) product of vectors, vector (cross) product of vectors, a scalar triple product of vectors, and Coplanarity of three vectors.

Chapter 13 Three-dimensional Geometry
Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, coplanar and skew lines, the shortest distance between two lines. Cartesian and vector equation of a plane. The angle between (i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a point from a plane.

Books Recommended:
Bureau’s Higher Secondary (+2) Elements of Mathematics, Part-II, Published by Odisha State Bureau of Text Book Preparation and Production, Bhubaneswar.

CHSE Odisha Class 12 Text Book Solutions

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