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

Let $C$ denote the set of all complex numbers. Define $A = \{(z, w) \mid z, w \in C \text{ and } |z| = |w|\}$ and $B = \{(z, w) \mid z, w \in C \text{ and } z^2 = w^2\}$. Then:

The area of $\Delta$ whose vertices are $z, \omega z, z + \omega z$ is (where $\omega$ is a complex cube root of unity):

The locus of $z$ satisfying $\left|\frac{z-i}{z-2i}\right|=2$ is a

The region represented by $\{z=x+iy \in \mathbb{C} : |z|-\operatorname{Re}(z) \leq 1\}$ is also given by the inequality

Which of the following equations can represent a triangle in the complex plane?