Question

Let $S=S_1\cap S_2\cap S_3,$ where
$S_1=\{z\in C:|z|<4\}$
$S_2=\{z\in C:\mathrm{Im}\left[\frac{z-1+\sqrt{3}i}{1-\sqrt{3}i}\right]>0\}$ and $S_3=\{z\in C:\mathrm{Re}z>0\}$.

• A.
• B.

Answer 1

The correct option is A

Let $S=S_1\cap S_2\cap S_3,$ where
$S_1=\{z\in C:|z|<4\}$
$S_2=\{z\in C:\mathrm{Im}\left[\frac{z-1+\sqrt{3}i}{1-\sqrt{3}i}\right]>0\}$ and $S_3=\{z\in C:\mathrm{Re}z>0\}$.