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If m is the A.M of two distinct real num...

If m is the A.M of two distinct real number l and n `(l,ngt1)andG_(1),G_(2)andG_(3)`are three geometric means between l and n , then `G_(1)^(4)+2G_(2)^(4)+C_(3)^(4)` equals-

A

`4lmn^(2)`

B

`4l^(2)m^(2)n^(2)`

C

`4l^(2)mn`

D

`4lm^(2)n`

Text Solution

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The correct Answer is:
D
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