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If A, g and H are respectively arithmeti...

If A, g and H are respectively arithmetic ,
geometric and harmomic means between a and b
both being unequal and positive, then
`A = (a + b)/(2) rArr a + b = 2A`
`G = sqrt(ab) rArr G^(2) = ab `
`H = (2ab)/(a+ b ) rArr G^(2) = AH`
On the basis of above information answer the following questions .
The numbers whose A.M. and G.M. are A and G is

A

`A pm (A^(2) - G^(2))`

B

`sqrt(A) pm sqrt(A^(2) - G^(2))`

C

`A pm sqrt(A^(2) - G^(2))`

D

`(A pm sqrt(A^(2) - G^(2)))/(2)`

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