### Complex Numbers

goals
Circum-centre of $\triangle ABC$ with vertices $A(Z_1), B(Z_2)$ and $C(z_3)$ is $S(z_0)$.
The altitude from vertex $A$ to side $BC$ meets the circumcircle at $E(z_4)$.
Find the value of
Find the value of
$Re\dfrac{(1 + i)^2}{3 - i} =$
The point of intersection of the curves $arg(z-3i)=\dfrac {3 \pi}{4}$ and $arg(2z+1-2i)=\dfrac {\pi}{4}$, (where $i=\sqrt {-1}$) is