Let be a relation on defined by if and only if . Then …

JEE Main - Previous Year Papers JEE MAIN 2023 JEE MAINS 31 JAN- 2023 PAPER SHIFT -1 Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

Let be a relation on defined by if and only if . Then is

transitive but neither reflexive nor symmetric

symmetric but neither reflexive nor transitive

symmetric and transitive but not reflexive

reflexive and symmetric but not transitive

Text Solution

Verified by Experts

The correct answer is:

(a, b) R (c, d)

For reflexive

(a, b) R (a, b)

is not reflexive

For symmetric:

then we check

(c, d)

is symmetric:

For transitive:

and

But is not related to

is not transitive.

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