If $arg\,(z) = \theta $, then $arg\,(\overline z ) = $
$\theta $
$ - \theta $
$\pi - \theta $
$\theta - \pi $
(b)It is a fundamental concept. .
The amplitude of $\frac{{1 + \sqrt 3 \,i}}{{\sqrt 3 + i}}$ is
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
$\left| {(1 + i)\frac{{(2 + i)}}{{(3 + i)}}} \right| = $
If $|{z_1}| = |{z_2}| = ………. = |{z_n}| = 1,$ then the value of $|{z_1} + {z_2} + {z_3} + …………. + {z_n}|$=
If $z_1$ is a point on $z\bar{z} = 1$ and $z_2$ is another point on $(4 -3i)z + (4 + 3i)z -15 = 0$, then $|z_1 -z_2|_{min}$ is (where $ i = \sqrt { – 1}$ )
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