CUET Mathematics - The relation R in the set \1, 2, 3\ given by R = \(1, 1), (2, 2), (3, 3), (1, 2), (1, 3), (2, 3)\ is: | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 1

Algebra

Medium

core

symmetric

not reflexive

not transitive

both reflexive and transitive

✅ Correct Option: 4

Related questions:

13 May Shift 2

Match List-I with List-II

Let $f: A o B$ be a function given by $f(x) = x^2$

List-I	List-II
Domain and Co-domain	Kind
(A) $A = \mathbb{R}$ and $B = \mathbb{R}$	(I) $f$ is both one-one and onto
(B) $A = \mathbb{R}$ and $B = [0, \infty]$	(II) $f$ is one-one but not onto
(C) $A = B = [0, \infty]$	(III) $f$ is not one-one but onto
(D) $A = [0, \infty]$ and $B = \mathbb{R}$	(IV) $f$ is neither one-one nor onto

Choose the correct answer from the options given below:

29 May Shift 2

Assume that R is a relation on the set Z of integers and it is given by $(x, y) \in R \Leftrightarrow |x - y| \leq 1$ . Then, R is

21 May Shift 1

Let N be set of natural numbers, then the function $f: \mathbb{N} \rightarrow \mathbb{N}$ , defined by

$f(x) = \begin{cases} \frac{n+1}{2} & \text{, if } n \text{ is odd} \\ \frac{n}{2} & \text{, if } n \text{ is even} \end{cases}$ , is

CUET Mathematics 2025 30 May Shift 1 PYQs