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Question

Mathematics Question on Ratio

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+m2n2:mm2n2m+\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:

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is not the correct explanation of A

C

A is true but R is false

D

A is false but R is true

Answer

Both A and R are true but R is not the correct explanation of A

Explanation

Solution

The correct answer is(B): Both A and R are true but R is not the correct explanation of A