For any complex number $z,\bar z = \left( {\frac{1}{z}} \right)$if and only if
$z$ is a pure real number
$|z| = 1$
$z$ is a pure imaginary number
$z = 1$
$\left| {\frac{1}{2}({z_1} + {z_2}) + \sqrt {{z_1}{z_2}} } \right| + \left| {\frac{1}{2}({z_1} + {z_2}) - \sqrt {{z_1}{z_2}} } \right|$ =
If $arg\,(z) = \theta $, then $arg\,(\overline z ) = $
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 -
$(z + a)(\bar z + a)$, where $a$ is real, is equivalent to
The amplitude of $0$ is