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Previous Year Question (PYQs)



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:





Solution

Assertion A is true (standard result from A.M.–G.M. relations). Reason R is also true, but it does not explain Assertion A.


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