JEE Main 2022MathematicsSets and RelationsMediumMCQ

JEE Main 2022 — Sets and Relations Question with Solution

JEE Main 2022 (29 Jun Shift 1)

Question

Let a set A=A1∪A2∪…∪Ak, where Ai∩Aj=ϕ for i≠j; 1≤i,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

Let A=1,2,3

Then R=1,1,1,2,1,32,1,2,2,2,33,1,3,23,3

which is an equivalence relation.

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Sets and Relations chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

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.