The moments of inertia of a non-uniform circular disc (of mass M and radius R) about four mutually perpendicular tangents AB, BC, CD, DA are `I_(1), I_(2), I_(3)` and `I_(4)`, respectively (the square ABCD circumscribes the circle). The distance of the center of mass of the disc from its geometrical center is given by -

Options

A. `(1)/(4MR)sqrt((I_(1)-I_(3))^(2)+(I_(2)-I_(4))^(2))`
B. `(1)/(12MR)sqrt((I_(1)-I_(3))^(2)+(I_(2)-I_(4))^(2))`
C. `(1)/(3MR)sqrt((I_(1)-I_(2))^(2)+(I_(3)-I_(4))^(2))`
D. `(1)/(2MR)sqrt((I_(1)+I_(3))^(2)+(I_(2)+I_(4))^(2))`

Answer

A