JEE Main 2022MathematicsSets And RelationsSymmetric Transitive And Reflexive PropertieseasyMCQ

JEE Main 2022 — Sets And Relations Question with Solution

From: JEE Main 2022 (Online) 29th June Morning Shift

Question

Let a set A = A1 A2 ..... Ak, where Ai Aj = for i j, 1 j, j k. Define the relation R from A to A by R = {(x, y) : y Ai if and only if x Ai, 1 i k}. Then, R is :

Choose an option

Show full solutionCorrect option: D
Correct answer
Dan equivalence relation.

Step-by-step explanation

(1) Reflexive

(a, a) iff

(2) Symmetric

(a, b) iff

(b, a) R as iff

(3) Transitive

(a, b) R & (b, c) R.

iff & iff

iff

(a, c) R.

RElation is equivalnece.

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About this question

This is a previous-year question from JEE Main 2022, covering the Sets And Relations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.