CUET Mathematics - Assume that R is a relation on the set Z of integers and it is given by (x, y) R |x - y| ≤ 1. Then, R is | PYQs + Solutions

CUET Mathematics 2025 29 May Shift 2

Algebra

Medium

core

Reflexive and symmetric but not transitive

An equivalence relation

Symmetric and transitive but not reflexive

Reflexive and transitive but not symmetric

✅ Correct Option: 1

Related questions:

CUET Mathematics 2024 Slot 1

Let R be the relation over the set A of all straight lines in a plane such that $l_{1} \mathrm{R} l_{2} \Leftrightarrow l_{1}$ is parallel to $l_{2}$ . Then R is :

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Let f: $\mathbb{R} \rightarrow \mathbb{R}$ be defined as $f(x) = 10x$ . Then (Where $\mathbb{R}$ is the set of real numbers)

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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:

CUET Mathematics 2025 29 May Shift 2 PYQs

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