The polar equation of the circle with center $\bigg( 2, \large\frac{\pi}{2}\bigg)$ and radius 3 units is :

Question

$$\begin {array} {1 1} (a)\;r^2+4r \cos \theta=5 & \quad (b)\;r^2+4r \sin \theta=5 \\ (c)\;r^2-4r \sin \theta=5 & \quad (d)\;r^2-4r \cos \theta=5 \end {array}$$