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AP EAMCET202421 May 2024Evening ShiftMathematicsSequences and SeriesActual

If a^2 x^4+b^2 y^4=c^6 then maximum value of x y=

Options

  1. Ac^3 2 a b
  2. Bc^3 2 a b
  3. Cc^3 a b
  4. Dc^3 a b

Correct answer

B. c^3 2 a b

Step-by-step solution

aligned & a^2 x^4+b^2 y^4=c^6 & a^2 x^4+b^2 y^4 2 a^2 b^2 x^4 y^4 c^6 2 a b x^2 y^2 & x^2 y^2 c^6 2 a b x y c^3 2 a b . aligned

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