CUET Mathematics - If y = sqrt(ax + b) then yd^2y/dx^2 + (dy/dx)^2 = | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 1

Calculus

Medium

common

✅ Correct Option: 1

Related questions:

CUET Mathematics 2024 Slot 1

Let $[x]$ denote the greatest integer function. Then match List-I with List-II:

List-I	List-II
(A) $\|x - 1\| + \|x - 2\|$	(I) is differentiable everywhere except at $x = 0$
(B) $x - \|x\|$	(II) is continuous everywhere
(C) $x - [x]$	(III) is not differentiable at $x = 1$
(D) $x \, \|x\|$	(IV) is differentiable at $x = 1$

21 May Shift 1

$f(x) = \begin{cases} \frac{\tan(\frac{\pi}{4} - x)}{\cot 2x} & , x ≠ \frac{\pi}{4} \\ 2K + 1 & , x = \frac{\pi}{4} \end{cases}$

is continuous at $x = \frac{\pi}{4}$ , then the value of K is equal to

21 May Shift 1

The greatest integer function $f(x) = [x]$ is differentiable for all values of

CUET Mathematics 2025 3 June Shift 1 PYQs