If ${a^2}{x^4} + {b^2}{y^4} = {c^6}$, then maximum value of $xy$ is

$\frac{{{c^2}}}{{\sqrt {ab} }}$

JEE MATHEMATICS MCQ: MAXIMA & MINIMA

1 Easy

1 of 1

Analyzing +4 | -1

{a^2}{x^4} + {b^2}{y^4} = {c^6}

, then maximum value of

xy

View answer and explanation

Correct option: C

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

Option C (

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

) is correct because it represents the maximum value of

xy

derived using calculus and optimization techniques.

Practice All Chapter MCQs →

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