Amplitude of $\left( {\frac{{1 - i}}{{1 + i}}} \right)$ is
$-\pi\over2$
$\pi\over2$
$\pi\over4$
$\pi\over6$
If $x+i y=\frac{a+i b}{a-i b},$ prove that $x^{2}+y^{2}=1$
If the conjugate of $(x + iy)(1 - 2i)$ be $1 + i$, then
The modulus and amplitude of $\frac{{1 + 2i}}{{1 - {{(1 - i)}^2}}}$ are
The conjugate of a complex number is $\frac{1}{{i - 1}}$ then that complex number is
Let $z$ =${i^{2i}}$ , then $|z|$ is (where $i$ =$\sqrt { - 1}$ )