If `z_1,z_2,z_3` are three points lying on the circle `|z|=2` then the minimum value of the expression `|z_1+z_2|^2+|z_2+z_3|^2+|z_3+z_1|^2=`

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

Find the minimum value of |z-1 if ||z-3|-|z+1||=2.

Find the minimum value of |z-1| if ||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 : (a) 58 (b) 29 (c) 87 (d) none of these

Let z_1,z_2 and z_3 be three distinct complex numbers , satisfying |z_1|=|z_2|=|z_3|=1 find maximum value of| z1 - z2 |^2 + |z2-z3|^2 + |z3-z1|^2

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

If z_1, z_2, z_3, z_4 are the affixes of four point in the Argand plane, z is the affix of a point such that |z-z_1|=|z-z_2|=|z-z_3|=|z-z_4| , then z_1, z_2, z_3, z_4 are

If z_1, z_2, z_3, z_4 are the affixes of four point in the Argand plane, z is the affix of a point such that |z-z_1|=|z-z_2|=|z-z_3|=|z-z_4| , then prove that z_1, z_2, z_3, z_4 are concyclic.

If A (z_1), B (z_2) and C (z_3) are three points in the argand plane where |z_1 +z_2|=||z_1-z_2| and |(1-i)z_1+iz_3|=|z_1|+|z_3|-z_1| , where i = sqrt-1 then

If |z_1|=|z_2|=|z_3|=1 then value of |z_1-z_3|^2+|z_3-z_1|^2+|z_1-z_2|^2 cannot exceed