The chord of the contact of tangents drawn from a point on the circle `x^(2) + y^(2) = a^(2) ` to the circle ` x^(2) = y^(2) = b^(2)` touches the circle ` x^(2) + y^(2) =c^(2)` such that `b^(m)= a^(n)c^(p)`, where m,n p `in N` and m,n,p are prime to each other , then the value of `m+ n+ p -3` is :

Options

A. 6
B. 5
C. 2
D. 7

Answer

D