CUET Mathematics - If y = x + x + sqrt(x + ...), then | PYQs + Solutions

CUET Mathematics 2025 19 May Shift 1

Calculus

Medium

applied

$(2y+1)\frac{dy}{dx} + 3\sqrt{x} = 0$

$3\frac{dy}{dx} + 3y^2 = 0$

$3x\frac{dy}{dx} + (2y+1) = 0$

$(2y-1)\frac{dy}{dx} - 1 = 0$

✅ Correct Option: 4

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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:

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CUET Mathematics 2025 19 May Shift 1 PYQs