If `z_(1),z_(2)` and `z_(3)` be unimodular complex numbers, then the maximum value of `|z_(1)-z_(2)|^(2)+|z_(2)-z_(3)|^(2)+|z_(3)-z_(1)|^(2)`, is

In complex plane z_(1), z_(2) and z_(3) be three collinear complex numbers, then the value of |(z_(1),barz_(1),1),(z_(2),barz_(2),1),(z_(3), barz_(3),1)| is -

For any two complex numbers z_(1),z_(2) the values of |z_(1)+z_(2)|^(2)+|z_(1)-z_(2)|^(2) , is

For any two complex numbers z_(1),z_(2) the values of |z_(1)+z_(2)|^(2)+|z_(1)-z_(2)|^(2) , is

If Z_(1),Z_(2) are two non-zero complex numbers, then the maximum value of (Z_(1)bar(Z)_(2)+Z_(2)bar(Z)_(1))/(2|Z_(1)||Z_(2)|) is

If z_(1) and z_(2) are unimodular complex numbers that satisfy z_(1)^(2)+z_(2)^(2)=4, then (z_(1)+bar(z)_(1))^(2)+(z_(2)+bar(z)_(2))^(2) equals to

If z_1,z_2,z_3 are three complex numbers such that |z_1|=|z_2|=|z_3|=1 , find the maximum value of |z_1-z_2|^2+|z_2-z_3|^2+|z_3+z_1|^2

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 :