Let $z$ be a purely imaginary number such that $\text{Im}(z) > 0$. Then $\text{arg}(z)$ is equal to

If for complex numbers $z_1$ and $z_2$,$\arg(z_1/z_2) = 0$,then $|z_1 - z_2|$ is equal to

Convert the given complex number in polar form: $\sqrt{3}+i$

Let $z$ and $w$ be two complex numbers such that $\bar{z}+i \bar{w}=0$ and $\operatorname{Arg}(z w)=\pi$. Then,$\operatorname{Arg} z=$

$\operatorname{Arg}\left(\frac{4+2 i}{1-2 i}+\frac{3+4 i}{2+3 i}\right)$ lies in the interval

If the $\operatorname{Arg} z_1$ and $\operatorname{Arg} \overline{z_2}$ are $\frac{\pi}{3}$ and $\frac{\pi}{5}$ respectively,then the value of $\operatorname{Arg} z_1 + \operatorname{Arg} z_2$ is