Home Maths Set Theory and Relations JEE Main 2023 Let R be a relation on , given by is an ir…
Maths Set Theory and Relations JEE Main 2023 Single Correct MCQ
Published on: August 12, 2026

Let R be a relation on , given by is an irrational number . Then R is

A
Reflexive but neither symmetric nor transitive
B
Reflexive and symmetric but not symmetric
C
Reflexive and symmetric but not transitive
D
An equivalence relation

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Text Solution

Verified by Experts
The correct answer is:
A

Check for reflexivity

As Which belongs to relation so relation is reflexive

Check for symmetric

Take

Now but

As which is rational so relation is not symmetric.

Check for transitivity.

Take

So not but

which means relation is not transitive

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