Let \(\rho_{1}\) and \(\rho_{2}\) be two equivalence relations defined on a non-void set \(S\). Then
(A) both \(\rho_{1} \cap \rho_{2}\) and \(\rho_{1} \cup \rho_{2}\) are equivalence relations
(B) \(\rho_{1} \cap \rho_{2}\) is equivalence relation but \(\rho_{1} \cup \rho_{2}\) is not so.
(C) \(\rho_{1} \cup \rho_{2}\) is equivalence relation but \(\rho_{1} \cap \rho_{2}\) is not so
(D) neither \(\rho_{1} \cap \rho_{2}\) nor \(\rho_{1} \cup \rho_{2}\) is equivalence relation.
