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If a^2x^4+b^2y^4=c^6, then the maximum v...

If `a^2x^4+b^2y^4=c^6,` then the maximum value of `x y` is `(c^2)/(sqrt(a b))` (b) `(c^3)/(a b)` `(c^3)/(sqrt(2a b))` (d) `(c^3)/(2a b)`

A

`(c^(3))/(2ab)`

B

`(c^(3))/(sqrt(2 |ab|))`

C

`(c^(3))/(ab)`

D

`(c^(3))/(sqrt(|ab|))`

Text Solution

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The correct Answer is:
B
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