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

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

A

`4 l^(2) mn`

B

`4lm^(2) n `

C

`4lmn^(2)`

D

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

Text Solution

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The correct Answer is:
B
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