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The arithmetic mean of two positive numb...

The arithmetic mean of two positive numbers is `6` and their geometric mean `G` and harmonic mean `H` satisfy the relation `G^(2)+3H=48`. Then the product of the two numbers is

A

`24`

B

`32`

C

`48`

D

`54`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` `a+b=12`
`ab+(6ab)/(a+b)=48`
`:.ab+(ab)/(2)=48`
`:.ab=32`
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