If z(1) ,z(2) be two complex numbers s...

If ` z_(1) ,z_(2)` be two complex numbers satisfying the equation ` |(z_(1)+z_(2))/(z_(1)-z_(2))|=1`, then

`z_(1)barz_()+z_(2)barz_(1)=1`

` (barz_(1)/( barz_(2))) = - z_(1)/z_(2)`

`z_(1)barz_(2) +z_(2)barz_(1)=0`

`Re(z_(1)barz_(2))=0`

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