Q.

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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a

mn

b

m2n2

c

mn

d

mn

answer is C.

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Detailed Solution

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=