A thin uniform circular disc of radius $$a$$ is placed in the $$XY$$ plane with its center at origin $$(0,0)$$. A small circular disc of radius $$b$$ with center at $$(c,0)$$ is cut and taken out to create a hole. The center of mass of the remaining disc is at

A

$$\left(-\frac{b^2}{a^2}c,\ 0\right)$$

B

$$\left(-\frac{b^2}{a^2 - c^2}c,\ 0\right)$$

C

$$\left(-\frac{b^2}{a^2 + b^2}c,\ 0\right)$$

D

$$\left(-\frac{b^2}{a^2 - b^2}c,\ 0\right)$$