If $z$ is a complex number such that ${z^2} = {(\bar z)^2},$ then
$z$ is purely real
$z$ is purely imaginary
Either $z$ is purely real or purely imaginary
None of these
If $z = 1 - \cos \alpha + i\sin \alpha $, then $amp \ z$=
If ${z_1},{z_2}$ are two complex numbers such that $\left| {\frac{{{z_1} - {z_2}}}{{{z_1} + {z_2}}}} \right| = 1$ and $i{z_1} = k{z_2}$, where $k \in R$, then the angle between ${z_1} - {z_2}$ and ${z_1} + {z_2}$ is
The minimum value of $|2z - 1| + |3z - 2|$is
The amplitude of $\frac{{1 + \sqrt 3 i}}{{\sqrt 3 + 1}}$ is
If $z$ is a complex number, then $(\overline {{z^{ - 1}}} )(\overline z ) = $