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On set A={1,2,3}, relations R and S are ...

On set A={1,2,3}, relations R and S are given by R={(1,1),(2,2),(3,3),(1,2),(2,1)}, S={(1,1),(2,2),(3,3),(1,3),(3,1)}. Then

A

`RcupS` is an equivalence relation

B

`RcupS` is reflexive and transitive but not symmetric

C

`RcupS` is reflexive and symmetric but not transitive

D

`RcupS` is symmetric and transitive but not reflexive

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

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    D
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    A
    5 R 2
    B
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