If z(1), z(2), z(3) are 3 distinct compl...

If `z_(1), z_(2), z_(3)` are 3 distinct complex such that `(3)/(|z_(1)-z_(2)|)=(5)/(|z_(2)-z_(3)|)=(7)/(|z_(3)-z_(1)|)`, then the value of `(9barz_(3))/(z_(1)-z_(2))+(25barz_(1))/(z_(2)-z_(3))+(49barz_(2))/(z_(3)-z_(1))` is equal to

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If z_(1), z_(2) and z_(3) are 3 distinct complex numbers such that (3)/(|z_(1)-z_(2)|)=(5)/(|z_(2)-z_(3)|)=(7)/(|z_(3)-z_(1)|) , then the value of (9)/(z_(1)-z_(2))+(25)/(z_(2)-z_(3))+(49)/(z_(3)-z_(1)) is equal to

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If z_(1),z_(2),z_(3) are complex numbers such that |z_(1)|=|z_(2)|=|z_(3)|=|(1)/(z_(1))+(1)/(z_(2))+(1)/(z_(3))|=1 Then find the value of |z_(1)+z_(2)+z_(3)| is :

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