Let $z$ be a complex number such that $\left|\frac{z-2i}{z+i}\right|=2$,where $z \neq -i$. Then $z$ lies on a circle of radius $2$ and center:

The set of all real values of $c$ for which the equation $z \bar{z} + (4 - 3i) \bar{z} + (4 + 3i) z + c = 0$ represents a circle is

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

If the vertices of a square are $z_1, z_2, z_3$ and $z_4$ taken in the anti-clockwise order,then $z_3=$

The locus of $z$ satisfying $|z|+|z-1|=3$ is

Let $z=x+iy$ be a complex number with $x, y \in \mathbb{Z}$. Then,the area (in sq units) of the rectangle whose vertices are the roots of the equation $\bar{z} \cdot z^3+z \cdot \bar{z}^3=350$ is