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

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

Find \(\frac{d y}{d x}\)

Question 1.

x = a cos θ, y = a sin θ

Solution:

x = a cos θ, y = a sin θ

Question 2.

x = at^{2}, y = 2 at at t = \( \frac{1}{2}\)

Solution:

x = at^{2}, y = 2 at at t = \( \frac{1}{2}\)

Question 3.

x = a cos^{3} t, y = a sin^{3} t at t = \( \frac{\pi}{4} \)

Solution:

x = a cos^{3} t, y = a sin^{3} t

Question 4.

sin x = \(\frac{2 t}{1+t^2}\), tan y = \(\frac{2 t}{1-t^2}\)

Solution:

Question 5.

x = 3 cos t – 2 cos^{3} t,

y = 3 sin t – 2 sin^{3} t.

Solution:

x = 3 cos t – 2 cos^{3} t