Let be the set of all real numbers. A relation has been d…

Maths Functions, Limits, Continuity and Differentiability Karnataka - CET Previous Year Question Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let be the set of all real numbers. A relation has been defined on by , then is

symmetric and transitive but not reflexive

reflexive and transitive but not symmetric

reflexive and symmetric but not transitive

an equivalence relation

Text Solution

Verified by Experts

The correct answer is:

: For Reflexive : Let .

Then, . So, is reflexive.

For symmetric : Let

So, is symmetric

For Transitive : Let,

Then,

and , But

So, is not transitive.

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