Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

If $x=asin^2\theta , y = a cos^2 \theta $ then $\frac{dy}{dx}= $

Options:

-1

3

2

4

Correct Answer:

-1

Explanation:

The correct answer is Option (1) → -1

$x=a\sin^2θ$, $y=a\cos^2θ$

$\frac{dy}{dθ}=-2a\cos θ\sin θ$

$\frac{dx}{dθ}=2a\cos θ\sin θ$

$\frac{dy}{dx}=-1$