If ${z_1},{z_2} \in C$, then $amp\,\left( {\frac{{{{\rm{z}}_{\rm{1}}}}}{{{{{\rm{\bar z}}}_{\rm{2}}}}}} \right) = $
$amp\,({z_1}{\overline z _2})$
$amp\,({\overline z _1}{z_2})$
$amp\,\left( {\frac{{{z_2}}}{{{{\bar z}_1}}}} \right)$
$amp\,\left( {\frac{{{z_1}}}{{{z_2}}}} \right)$
The conjugate of a complex number is $\frac{1}{{i - 1}}$ then that complex number is
Find the number of non-zero integral solutions of the equation $|1-i|^{x}=2^{x}$
$(z + a)(\bar z + a)$, where $a$ is real, is equivalent to
Let $z$ and $w$ be two complex numbers such that $w=z \bar{z}-2 z+2,\left|\frac{z+i}{z-3 i}\right|=1$ and $\operatorname{Re}(w)$ has minimum value. Then, the minimum value of $n \in N$ for which $w ^{ n }$ is real, is equal to..........
If $z$ is a complex number, then which of the following is not true