On R, a relation ρ is defined by xρy if ...

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

A

1) `rho` is equivalence relation

B

2) `rho` is reflexive but neither symmetric nor transitive

C

3) `rho` is reflexive and symmetric but not transitive

D

4) `rho` is symmetric and transitive but not reflexive

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The correct Answer is:

C

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