If $|z + 4| \le 3$,then the greatest and the least value of $|z + 1|$ are

If $|z - 3 + 2i| \leq 4$,then the difference between the greatest value and the least value of $|z|$ is

If $z=x+iy$, where $x$ and $y$ are real numbers and $i=\sqrt{-1}$, then the points $(x, y)$ for which $\frac{z-1}{z-i}$ is real, lie on

If at least one value of the complex number $z = x + iy$ satisfies the condition $|z + \sqrt{2}| = a^2 - 3a + 2$ and the inequality $|z + i\sqrt{2}| < a^2$,then

The values of $z$ for which $|z + i| = |z - i|$ are

The area of the polygon,whose vertices are the non-real roots of the equation $\bar{z} = i z^{2}$ is