Given below are two statements: One is lebelled as Assertion A and the other is labelled as Reason R.
Assertion A: If the A.M. and G.M. between two numbers are in the ratio m : n, then the numbers are in the ratio \(m+\sqrt{m^2-n^2}:m-\sqrt{m^2-n^2}\)
Reason R: If each term of a G.P. be raised to the same power, the resulting sequence also forms a G.P.
In the light of the above statements, choose the correct answer from the options given below: