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If a gt 0,bgt 0,cgt0 and 2a +b+3c=1, the...

If `a gt 0,bgt 0,cgt0 and 2a +b+3c=1`, then

A

`a^(4)b^(2)c^(2)` is greatest when a =` (1)/(4)`

B

`a^(4)b^(2)c^(2)` is greatest when b =` (1)/(4)`

C

`a^(4)b^(2)c^(2)` is greatest when c =` (1)/(12)`

D

greatest value of `a^(4)b^(2)c^(2) ` is `(1)/(9.4^(8))`

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