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:

A

1

B

-1

C

0

D

2