JEE Main 2021MathematicsSets And RelationsSymmetric Transitive And Reflexive PropertieseasyMCQ

JEE Main 2021Sets And Relations Question with Solution

From: JEE Main 2021 (Online) 26th February Morning Shift

Question

Let R = {(P, Q) | P and Q are at the same distance from the origin} be a relation, then the equivalence class of (1, 1) is the set :

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

Given R = {(P, Q) | P and Q are at the same distance from the origin}.

Then equivalence class of (1, 1) will contain al such points which lies on circumference of the circle of centre at origin and passing through point (1, 1).

i.e., radius of circle =

Required equivalence class of (S)

.

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About this question

This is a previous-year question from JEE Main 2021, 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.