Instruction : Answer the questions given below on the basis following figure.

MN is a transverse common tangent. A and B are centres of the circles whose radii are respectively `r_1 and r_2`. Length of AB is d.
Distance between point Q and M is

Options

A. `(r_1)/( r_1 + r_2) sqrt( d^(2) - ( r_1 + r_2)^2)`
B. `(r_2)/( r_1 + r_2) sqrt( d^2 - (r_1 + r_2)^2)`
C. `(r_1)/( r_1 - r_2) sqrt( d^2 - ( r_1 - r_2)^2 )`
D. `( r_2)/( r_1 - r_2) sqrt( d^2 - ( r_1 - r_2)^2)`

Answer

A