If \[{{a}^{2}}{{x}^{4}}+{{b}^{2}}{{y}^{4}}={{c}^{6}},\] then maximum value of xy is [RPET 2001]

\[\frac{{{c}^{2}}}{\sqrt{ab}}\]

\[\frac{{{c}^{3}}}{\sqrt{2ab}}\]

If \[{{a}^{2}}{{x}^{4}}+{{b}^{2}}{{y}^{4}}={{c}^{6}},\] then maximum v

1.	If \[{{a}^{2}}{{x}^{4}}+{{b}^{2}}{{y}^{4}}={{c}^{6}},\] then maximum value of xy is [RPET 2001]
A.	\[\frac{{{c}^{2}}}{\sqrt{ab}}\]
B.	\[\frac{{{c}^{3}}}{ab}\]
C.	\[\frac{{{c}^{3}}}{\sqrt{2ab}}\]
D.	\[\frac{{{c}^{3}}}{2ab}\]
Answer» D. \[\frac{{{c}^{3}}}{2ab}\]

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If \[{{a}^{2}}{{x}^{4}}+{{b}^{2}}{{y}^{4}}={{c}^{6}},\] then maximum value of xy is [RPET 2001]

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