Let . Then the relation is

Maths Relations and Functions Skill Builder Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

an equivalence relation

reflexive but neither symmetric nor transitive

transitive but neither symmetric nor reflexive

symmetric but neither reflexive nor transitive

Text Solution

Verified by Experts

The correct answer is:

Given,

and

For Reflexive : Let

So, , which is not possible.

So, given relation is not reflexive.

For symmetric :

Hence, given relation is symmetric.

For transitive : Let and and

But it does not implies that,

So, is not transitive.

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