CUET Mathematics - If x = a^3 , y = a ^3 , then d^2y/dx^2 equals. | PYQs + Solutions

CUET Mathematics 2025 27 May Shift 1

Calculus

Medium

core

$\frac{\cos^6 \theta}{3a\sin \theta}$

$\frac{3a\cos^5 \theta}{\sin \theta}$

$\frac{\sin^5 \theta}{3a\cos \theta}$

$\frac{3a\sin^2 \theta}{\cos \theta}$

✅ Correct Option: 1

Related questions:

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If $x = t^3$ , $y = t^2$ then $\frac{d^2y}{d^2x}$ is equal to:

29 May Shift 2

If $f(x) = |x| + |x - 5|$ , then which of the following statements are TRUE?

(A) f is a continuous function every where

(B) f is a continuous function except $x = 5$ and $x = 0$

(D) f is a continuous function everywhere but not differentiable at $x = 0$ and $x = 5$

Choose the correct answer from the options given below:

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If $xy + \frac{x^2}{y} = x^3y + y$ , then $\frac{dy}{dx}$ is equal to

CUET Mathematics 2025 27 May Shift 1 PYQs