A relation R on the set of complex numbers is defined by `z_1 R z_2` if and oly if `(z_1-z_2)/(z_1+z_2)` is real Show that R is an equivalence relation.

A relation R on the set of complex numbers is defined by z_(1)Rz_(2) if and oly if (z_(1)-z_(2))/(z_(1)+z_(2)) is real Show that R is an equivalence relation.

Let z_1, z_2 be two complex numbers with |z_1| = |z_2| . Prove that ((z_1 + z_2)^2)/(z_1 z_2) is real.

Let Z be the set of all integers. A relation R is defined on Z by xRy to mean x-y is divisible by 5. Show that R is an equivalence relation on Z.

Let Z be the set of all integers. A relation R is defined on Z by xRy to mean x-y is divisible by 5. Show that R is an equivalence relation on Z.

If z_1=a+ib and z_2=c+id are two complex numbers then z_1 gt z_2 is meaningful if

Let Z be the set of all integers and R be the relation on Z defined as R={(a,b);a,b in Z, and (a-b) is divisible by 5.}. Prove that R is an equivalence relation.