Let a relation on be defined as: if and only if or Con…

JEE Main - Previous Year Papers JEE MAIN 2024 JEE MAINS 04 APRIL- 2024 PAPER SHIFT -2 Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 23, 2026

Let a relation on be defined as:

if and only if or

Consider the two statements:

(I) is reflexive but not symmetric.

(II) is transitive

Then which one of the following is true?

Only (II) is correct.

Only (I) is correct.

Both (I) and (II) are correct.

Neither (I) nor (II) is correct.

Text Solution

Verified by Experts

The correct answer is:

All are in where

is reflexive

but

is not symmetric

and but ,

is not transitive

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