For all complex numbers $z_1$ and $z_2$ satisfying $|z_1| = 12$ and $|z_2 - (3 + 4i)| = 5$,the minimum value of $|z_1 - z_2|$ is:

If $|z|=1$ and $z \neq \pm 1$,then all the points representing $\frac{z}{1-z^{2}}$ lie on;

The reflection of the complex number $(3 + 2i)$ in the straight line $z = -i \bar{z}$ is-

Let $S = \{z \in \mathbb{C} : \left|\frac{z-6i}{z-2i}\right| = 1 \text{ and } \left|\frac{z-8+2i}{z+2i}\right| = \frac{3}{5}\}$. Then $\sum_{z \in S} |z|^2$ is equal to

For the real parameter $t$,the locus of the complex number $z = (1 - t^2) + i \sqrt{1 + t^2}$ in the complex plane is

If complex numbers ${z_1}, {z_2}, \text{and } {z_3}$ represent the vertices $A, B, \text{and } C$ respectively of an isosceles triangle $ABC$ of which $\angle C$ is a right angle,then the correct statement is: