Given below are two statements: One is labelled 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. is raised to the same power, the resulting sequence also forms a G.P.
Choose the correct answer from the options given below:
🎥 Video solution / Text Solution of this question is given below:
Assertion A is true (standard result from A.M.–G.M. relations).
Reason R is also true, but it does not explain Assertion A.