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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 number l and n `(l, n gt 1) and G_(1), G_(2) and G_(3)` are three geometrc means between l and n then `G_(1)^(4)+2G_(2)^(4)+G_(3)^(4)` equals.

A

`4 l^(2) m n `

B

`4 l m^(2) n`

C

`4 l mn^(2)`

D

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

Text Solution

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The correct Answer is:
B
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