CUET Mathematics - If y = sqrt(2024x + 2025), then which of the following is correct? | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 1

Calculus

Medium

applied

$y\frac{d^2y}{dx^2} - 2\frac{dy}{dx} = 0$

$y\frac{d^2y}{dx^2} - 2\left(\frac{dy}{dx}\right)^2 = 0$

$y\frac{d^2y}{dx^2} + x\left(\frac{dy}{dx}\right)^2 = 0$

$y\frac{d^2y}{dx^2} + \left(\frac{dy}{dx}\right)^2 = 0$

✅ Correct Option: 4

Related questions:

16 May Shift 1

Match List-I with List-II

List-I	List-II
(A) $f(x) = x \sin x$	(I) is not continuous at $x = -3$
(B) $f(x) = \frac{\|x\|}{x}, x \neq 0$ and $f(x) = 1 \text{ at } x = 0$	(II) is continuous everywhere
(C) $f(x) = x - [x]$ , $[x]$ denotes greatest integer function	(III) is not differentiable at $x = 1$
(D) $f(x) = e^{\|x - 1\|}$	(IV) is not continuous at $x = 0$

Choose the correct answer from the options given below:

29 May Shift 2

If $x = \frac{a}{1 + t}$ and $y = \frac{a}{(1 + t)^2}$ where $a > 0$ , then $\frac{d^2y}{dx^2}$ at $t = 1$ is

CUET Mathematics 2024 Slot 1

If $t=e^{2 x}$ and $y=\log _{e} t^{2}$ , then $\frac{d^{2} y}{d x^{2}}$ is :

CUET Mathematics 2025 13 May Shift 1 PYQs