" If "|z-1|+|z+3|<=8," then range of values of "|z-4|" is "

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

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 :

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 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|=1, |z_2| = 2, |z_3|=3 and |9z_1 z_2 + 4z_1 z_3+ z_2 z_3|=12 , then the value of |z_1 + z_2+ z_3| is equal to

If |z_1|=1, |z_2|=2, |z_3|=3 and |9z_1z_2 + 4z_1z_3 + z_2z_3|=36 , then |z_1+z_2+z_3| is equal to _______.

If |z_1|=1, |z_2|=2, |z_3|=3 and |9z_1z_2 + 4z_1z_3 + z_2z_3|=36 , then |z_1+z_2+z_3| is equal to :

Let z_(1), z_(2), z_(3) be three complex numbers such that |z_(1)| = |z_(2)| = |z_(3)| = 1 and z = (z_(1) + z_(2) + z_(3))((1)/(z_(1))+(1)/(z_(2))+(1)/(z_(3))) , then |z| cannot exceed