A uniform circular disc of radius a is taken. A circular portion of radius b has been removed from it as shown in the figure. If the centre of hole is at a distance c from the centre of the disc, the distance x₂ of the centre of mass of the remaining part from the initial centre of mass O is given by

• A

  $\frac{{\mathrm{\pi b}}^2}{({\mathrm{a}}^2-{\mathrm{c}}^2)}$

• B

  $\frac{{\mathrm{cb}}^2}{({\mathrm{a}}^2-{\mathrm{b}}^2)}$

• C

  $\frac{{\mathrm{\pi c}}^2}{({\mathrm{a}}^2-{\mathrm{b}}^2)}$

• D

  $\frac{{\mathrm{ca}}^2}{({\mathrm{c}}^2-{\mathrm{b}}^2)}$