If $0 < \text{amp}(z) < \pi$,then $\text{amp}(z) - \text{amp}(-z) = $

If $\arg(z) < 0$,then $\arg(-z) - \arg(z)$ is equal to

The argument of $\frac{1+i \sqrt{3}}{\sqrt{3}+i}$,where $i=\sqrt{-1}$,is

Let $z$ and $w$ be complex numbers such that $\overline{z} + i\overline{w} = 0$ and $\text{arg}(zw) = \pi$. Then $\text{arg}(z)$ equals

Let $z = 1 + i$ and $z_1 = \frac{1 + i \overline{z}}{\overline{z}(1 - z) + \frac{1}{z}}$. Then $\frac{12}{\pi} \arg(z_1)$ is equal to $..........$.

If ${z_1}$ and ${z_2}$ are two non-zero complex numbers such that $|{z_1} + {z_2}| = |{z_1}| + |{z_2}|,$ then $\text{arg}({z_1}) - \text{arg}({z_2})$ is equal to