JEE Main - Previous Year Papers JEE MAIN 2025 JEE Mains 02 April 2025 Paper Shift -1 Single Correct MCQ
Published on: August 13, 2026

Let A be the set of all functions and R be a relation on A such that

and . Then R is:

A
Symmetric and transitive but not reflective
B
Symmetric but neither reflective nor transitive
C
Reflexive but neither symmetric nor transitive
D
Transitive but neither reflexive nor symmetric

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Text Solution

Verified by Experts
The correct answer is:
B

and
Reflexive:
and must hold
but this is not true for all function
so not reflexive
Symmetric: If
Now, and true
symmetric
Transitive : and
Now ( ) and and
For we need and
Now and
Hence not transitive

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