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A relation R on the set of complex numbe...

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.

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Thus , ` z_(1) Rz_(2) " and " z_(2) Rz_(3) rArr r_(a) Rz_(3) . ` [transitive]
Hence , R is an equivalence relation .
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