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On R, a relation p is defined by xpy if ...

On R, a relation p is defined by xpy if and only if x-y is zero or irrational. Then

A

p is equivalence relation

B

p is reflexive but neither symmetric nor transitive

C

p is reflexive and symmetric but not transitive

D

p is symmetric and transitive but not reflexive

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The correct Answer is:
C
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