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On R, the relation p be defined by 'xpy...

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

A

p is reflexive and transitive but not symmetric

B

p is reflexive and symmetric but not transitive

C

p is symmetric and transitive but not reflexive

D

p is equivalence relation

Text Solution

Verified by Experts

The correct Answer is:
B
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