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If the ratio of A.M. between two positiv...

If the ratio of A.M. between two positive real numbers a and b to their H.M. is `m:n` then `a:b` is equal to `:`

A

`( sqrt( m-n) + sqrt( n ))/( sqrt( m-n) - sqrt( n ))`

B

`( sqrt( n) + sqrt(m- n ))/( sqrt( n) - sqrt( m-n ))`

C

`( sqrt( m) + sqrt(m- n ))/( sqrt( m) - sqrt( m-n ))`

D

`( sqrt( m) - sqrt(m- n ))/( sqrt( m) + sqrt( m-n ))`

Text Solution

Verified by Experts

The correct Answer is:
C
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