Let be a relation on , given by Then is

JEE Main - Previous Year Papers JEE MAIN 2023 JEE MAINS 1 FEB - 2023 PAPER SHIFT -1 Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

Let be a relation on , given by

Then is

an equivalence relation

reflexive and symmetric but not transitive

reflexive but neither symmetric nor transitive

reflexive and transitive but not symmetric

Text Solution

Verified by Experts

The correct answer is:

is reflexive

Let and

(a, b)

is no symmetric

Let

(a; b) (irrational)

(b ; c) (irrational)

(a, c)

(rational)

is not transitive

is reflexive but neither symmetric nor transitive

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