CUET Mathematics 2026 12th May Shift 2 PYQs

Match List-I with List-II

List-I	List-II
Function f(x)	Points of Non-Differentiability
---	---
(A) $f(x) = \vert x\vert + 1$	(I) Not differentiable at $x = 3$ only
(B) $f(x) = \vert x - 3\vert$	(II) Not differentiable at $x = -3$ only
(C) $f(x) = \vert x + 3\vert$	(III) Not differentiable at $x = 3, -3$ only
(D) $f(x) = \vert x^2 - 9\vert$	(IV) Not differentiable at $x = 0$ only

Choose the correct answer from the options given below:

$f(x) = [x]$, where $[\,]$ represents greatest integer function.

(A) For $2 \leq x < 3$, $[x] = 3$

(B) For $2 \leq x < 3$, $[x] = 2$

(C) Right hand derivative of f at $x = 2$ is not defined

(D) Left hand derivative of f at $x = 2$ is zero

(E) $f(x)$ is not differentiable at $x = 2$

Choose the correct answer from the options given below :

For the function $f(x) = \sqrt{x}$, which of the following statements are true?

(A) $f(x)$ is continuous for $x \geq 0$.

(B) $f(x)$ is continuous for $x \in R$ (Set of real numbers).

(C) $f(x)$ is differentiable for $x > 0$.

(D) $f(x)$ is differentiable for $x \in R$ (Set of real numbers).

Choose the correct answer from the options given below: