1.

Let C* = C - {0}, the set of non-zero complex number. Define a relation i? on C* as follows: z_(1), z_(2)in C^(*), z_(1)Rz_(2) if (z_(1)-z_(2))/(z_(1) + z_(2)) is a real numbers then

Answer»

R is REFLEXIVE and SYMMETRIC only
Ris symmetric and TRANSITIVE only
Ris transitive only
Ris an EQUIVALENCE relation.

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