CUET Mathematics - If x^2 - y^2 = 1, then which of the following is correct? (A) (x^2 - 1)(dy/dx)^2 = x^2 (B) (x^2 - 1)(d^2y/dx^2)^2 = x^2 (C) (x^2 - 1)^3(d^2y/dx^2)^2 = x^2 (D) (x^2 - 1)^3(d^2y/dx^2)^2 = 1 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 2

Calculus

Medium

applied

(B) and (D) only

(A), (B) and (C) only

(A) and (D) only

(B) and (C) only

✅ Correct Option: 3

Related questions:

16 May Shift 1

Match List-I with List-II

List-I	List-II
(Parametric equations)	$\left(\frac{dy}{dx}\right)$
(A) $x = \frac{2}{t}, y = 2t$	(I) $4t^2$
(B) $x = t^3, y = 3t + 2$	(II) $2(t+1)$
(C) $x = \log t, y = 2t^2$	(III) $-t^2$
(D) $x = e^t, y = 2te^t$	(IV) $t^{-2}$

Choose the correct answer from the options given below:

19 May Shift 1

If $y^{1/m} + y^{-1/m} = 2x$ , then the value of $(x^2 - 1)\frac{d^2y}{dx^2} + x\frac{dy}{dx}$ is:

2 June Shift 1

If the function $f(x) = \begin{cases}\frac{\sin 3x}{x}, & \text{if } x \neq 0\\ \frac{3k}{2}, & \text{if } x = 0\end{cases}$ is continuous at $x = 0$ , then the value of $k$ is

CUET Mathematics 2025 13 May Shift 2 PYQs

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