$\left| {\frac{1}{2}({z_1} + {z_2}) + \sqrt {{z_1}{z_2}} } \right| + \left| {\frac{1}{2}({z_1} + {z_2}) - \sqrt {{z_1}{z_2}} } \right|$ =
$|{z_1} + {z_2}|$
$|{z_1} - {z_2}|$
$|{z_1}| + |{z_2}|$
$|{z_1}| - |{z_2}|$
The amplitude of $\sin \frac{\pi }{5} + i\,\left( {1 - \cos \frac{\pi }{5}} \right)$
If $|z - 25i| \le 15$, then $|\max .amp(z) - \min .amp(z)| = $
Find the modulus of $\frac{1+i}{1-i}-\frac{1-i}{1+i}$
If $z$ is a complex number such that $|z - \bar{z}| = 2$ and $|z + \bar{z}| = 4 $, then which of the following is always incorrect -
If $z_1$ and $z_2$ are two unimodular complex numbers that satisfy $z_1^2 + z_2^2 = 5,$ then ${\left( {{z_1} - {{\bar z}_1}} \right)^2} + {\left( {{z_2} - {{\bar z}_2}} \right)^2}$ is equal to -