On \(\mathbb{R}\), a relation \(\rho\) is defined by \(x \rho y\) if and only if \(x-y\) is zero or irrational. Then
(A) \(\rho\) is equivalence relation
(B) \(\rho\) is reflexive but neither symmetric nor transitive
(C) \(\rho\) is reflexive and symmetric but not transitive
(D) \(\rho\) is symmetric and transitive but not reflexive