If `|z-1|+|z+3|<=8` then the range of value of `|z-4|` is

The minimum value of |z-1|+|z-3| is

Let z_1, z_2 , z_3 in C such that |z_1 | = |z_2| = |z_3| = |z_1+ z_2+ z _3| = 4 . If |z_1 - z _2 | = | z _1 + z _ 3 | and z_2 ne z_3 , then values of |z_1 + z_2 |* |z_1 + z _ 3| is _____.

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

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

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

If z_1 , z_2 , z_3 represent vertices of an equilateral triangle such that |z_1| = |z_2| = |z_3| show that z_1+z_2+z_3=0

If |z_1 |=|z_2|=|z_3| = 1 and z_1 +z_2+z_3 =0 then the area of the triangle whose vertices are z_1 ,z_2 ,z_3 is