1.

A relation R on the set of non-zero complex number is defined by Z_(1) R Z_(2) ltimplies (Z_(1)-Z_(2))/(Z_(1) + Z_(2)) is real then

Answer»

R is symmetric but not transitive
R is reflexive and symmetric but not transitive
R is an equivalence RELATION
R is relfexive but not symmetric

Solution :`AA Z in` complex number - {0}
`(Z-Z)/(Z+Z) =0 =` a real number `rArr` R is symmetric
If `(Z_(1)-Z_(2))/(Z_(1) + Z_(2))` and `(Z_(2)-Z_(3))/(Z_(2) + Z_(3))` are real, then `(Z_(1)-Z_(3))/(Z_(1) + Z_(3))` is ALSO a real number.
`rArr R` is transitive.


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