Mathematics - Complex Number Question with Solution | TestHub

Let $C$ be the set of all complex numbers. Let

$S_1=\left\{z\in C| {\left|z–3–2i\right|}^2=8\right\},$

$S_2=z\in C| \mathrm{Re}\left(\mathrm{z}\right)\ge 5$ and

$S_3=\left\{z\in C| \left|z–\overline{z}\right|\ge 8\right\}.$

Then the number of elements in $S_1\cap S_2\cap S_3$ is equal to