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 (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 non zero non collinear complex number such that 2/z_1=1/z_2+ 1/z_3, then (A) ponts z_1,z_2,z_3 form and equilateral triangle (B) points z_1,z_2,z_3 lies on a circle (C) z_1,z_2,z_3 and origin are concylic (D) z_1+z_2+z_3=0

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,z_2,z_3 are complex number , such that |z_1|=2, |z_2|=3, |z_3|=4 , the maximum value |z_1-z_2|^(2) + |z_2-z_3|^2 + |z_3-z_1|^2 is :