CUET Mathematics - Let [x] denote the greatest integer ≤ t and a Z = [ax: x Z, a R] (where Z is set of integer and R is set of real number). The set of points of discontinuity of the function f(x) = [2x] is given by | PYQs + Solutions

CUET Mathematics 2025 22 May Shift 1

Calculus

Medium

core

$\mathbb{Z}$

$2\mathbb{Z}$

$\frac{1}{2}\mathbb{Z}$

$\mathbb{R} - \mathbb{Z}$

✅ Correct Option: 3

Related questions:

22 May Shift 2

Match List-I with List-II

Where $\mathbb{R}$ is set of real numbers

List-I	List-II
(A) $\sin x$ is continuous on:	(I) $\mathbb{R} - \{0\}$
(B) $\tan x$ is continuous on:	(II) $\mathbb{R}$
(C) $\cot x$ is continuous on:	(III) $\mathbb{R} - \{n\pi: n \in \mathbb{Z}\}$
(D) $x^{-n}, n \in \mathbb{N}$ is continuous on:	(IV) $\mathbb{R} - \left\{(2n + 1)\frac{\pi}{2}: n \in \mathbb{Z}\right\}$

Choose the correct answer from the options given below:

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If $x = \frac{1-t}{1+t}$ and $y = \frac{3t}{1+t}$ , then $\frac{d^2y}{dx^2}$ is equal to

27 May Shift 1

If $f(x) = \begin{cases} ax - 1 & {if } x \ > 1\\ \ 2x + 1 & {if } x < 1 \end{cases}$ is continuous at $x = 1$ , then $a$ equals

CUET Mathematics 2025 22 May Shift 1 PYQs