Q.2. Locate the points for which 3 < |z| < 4.

$$\begin{gathered} 3<\left|z\right|<4 \\ Put z=x+iy \\ 3<\sqrt{x^2+y^2}<4 \\ \sqrt{x^2+y^2}>3 and \sqrt{x^2+y^2}<4 \\ Therefore the point \left(x,y\right) lies insides circle of radius 4 and outside circle or radius 3 \end{gathered}$$
The dark blue region in the given figure represents z on argand plane