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The relation R = {(1,1),(2,2),(3,3)} on ...

The relation `R = {(1,1),(2,2),(3,3)}` on the set `A={1,2,3}` is

A

symmetric only

B

reflexive only

C

an equivalence relation

D

`transitive` only

Text Solution

Verified by Experts

The correct Answer is:
C
Clearly, R is the identify relation on set {1, 2, 3} and the identity relation is always an equivalence relation. Hence, R is an equivalence relation.
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OBJECTIVE RD SHARMA-CARTESIAN PRODUCT OF SETS AND RELATIONS -Section I - Solved Mcqs
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