If `z_(1),z_(2),z_(3)` are complex numbers such that `(2)/(z_(1))=(1)/(z_(2))+(1)/(z_(3))`, then the points `z_(1),z_(2),z_(3)` and origin are

If z_(1),z_(2),z_(3) are complex numbers such that (2/z_(1))=(1/z_(2))+(1/z_(3)), then show that the points represented by z_(1),z_(2),z_(3) lie one a circle passing through e origin.

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 |z_(1)+z_(2)+z_(3)| is equal to

If z_(1) and z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 , then

If z_(1) and z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1, then

If z_(1) and z_(2) are two complex numbers such that z_(1)+2,1-z_(2),1-z, then

If z_(1),z_(2) are complex numbers such that |(z_(1)-3z_(2))/(3-z_(1)bar(z)_(2))|=1 and |z_(2)|!=1 then find |z_(1)|

If z_(1) and z_(2) are two complex numbers such that |z_(1)|= |z_(2)|+|z_(1)-z_(2)| then

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

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 :