### Complex Numbers

goals
Statement -1: If $z_1$ and $z_2$ are two complex numbers such that $|z_1| = |z_2| + |z_1 - z_2|$, then $Im \left ( \frac{z_1}{z_2} \right )=0$
If $z_1 = 5 + 12i$  &   $|z_2| = 4$ then

IF $z_1 = \sqrt 3 + i \sqrt 3$ and $z_2 = \sqrt 3 +i$ then the complex number $\frac {z_1}{z_2}$ lies in the quadrant number :
Statement -1: If $z_1$ and $z_2$ are two complex numbers such that $|z_1| = |z_2| + |z_1 - z_2|$, then $Im \left ( \frac{z_1}{z_2} \right )=0$
IF $z_1 = \sqrt 3 + i \sqrt 3$ and $z_2 = \sqrt 3 +i$ then the complex number $\frac {z_1}{z_2}$ lies in the quadrant number :