If A.M. of two terms is 9 and H.M. is 36,then | vedclass

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Question

(A) We know that for any two positive numbers $a$ and $b$,the relationship between Arithmetic Mean $(A.M.)$,Geometric Mean $(G.M.)$,and Harmonic Mean

Vedclass · Accepted Answer

$18$

Vedclass · Answer

(A) We know that for any two positive numbers $a$ and $b$,the relationship between Arithmetic Mean $(A.M.)$,Geometric Mean $(G.M.)$,and Harmonic Mean $(H.M.)$ is given by:$(G.M.)^2 = (A.M.) 	imes (H.M.)$Given $A.M. = 9$ and $H.M. = 36$,we substitute these values into the formula:$(G.M.)^2 = 9 	imes 36$$(G.M.)^2 = 324$Taking the square root on both sides:$G.M. = \sqrt{324} = 18$Therefore,the correct option is $A$.

If $A.M.$ of two terms is $9$ and $H.M.$ is $36$,then $G.M.$ will be

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