Home Physics JEE Main Full Syllabus Mock Test 75 Question New Syllabus TEST 9 PCM If the relation on the set of real numbers …
Physics JEE Main Full Syllabus Mock Test 75 Question New Syllabus TEST 9 PCM MCQ (Single Correct)

If the relation on the set of real numbers is given by then is

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

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Text Solution

Verified by Experts
The correct answer is:
A

is reflexive since for all
is symmetric since

is not transitive. For if we take three numbers , then

but
Thus and but not
Hence is the correct answer.

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