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$If sum of m A.M.'s between two positive numbers is α and sum of n$ $A.M.'s between the same numbers is β then \frac{α}{β} =$

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Correct option is C

A.M of arithmetic means is independent of ‘n’ αm=βn⇒αβ=mn

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If sum of m A.M.'s between two positive numbers is α and sum of n A.M.'s between the same numbers is β then αβ=

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$If sum of m A.M.'s between two positive numbers is α and sum of n$ $A.M.'s between the same numbers is β then \frac{α}{β} =$