Complex no lying on angle bisector of $z_1$ and $z_2$ where $z_1=3+\sqrt 3i$ and $z_2=2\sqrt 3+6i$ is

Question

$\begin{array}{1 1}(A)\;z=5+5i&(B)\;\;z=-4-4i\\(C)\;z=1&(D)\;\text{None of these}\end{array}$