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 and 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 (A) equal to 1 (B) gt1 (C) gt3 (D) equal to 3

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, |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|=|z_1+z_2+z_3|=1, then (1/z_1+1/z_2+1/z_3| is (A) equal to 1 (B) les than (C) greater than 3 (D) equal to 3

If |z_1|=|z_2|=|z_3|=|(1)/z_1+1/z_2+1/z_3|=1 then |z_1+z_2+z_3| = ...... .

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 numbers such that absz_1 = absz_2 = absz_3 = abs(1/z_1 + 1/z_2+ 1/z_3) =1 then show that abs(z_1 + z_2 + z_3) = 1 .

Let z_1, z_2,z_3 be complex numbers (not all real) such that |z_1|=|z_2|=|z_3|=1 and 2(z_1+z_2+z_3)-3z_1 z_2 z_3 is real. Then, Max (arg(z_1), arg(z_2), arg(z_3)) (Given that argument of z_1, z_2, z_3 is possitive ) has minimum value as (kpi)/6 where (k+2) is

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 :