If x, y are two positive integers such that x+y=20 and the maximum value of x^3 y is k at x=\alpha, y=\beta then \frac{k}{\alpha^2 \beta^2}= [AP EAPCET 20 May 2024 Shift 1]

\frac{\alpha}{\beta}+\frac{\beta}{\alpha}

\frac{\alpha}{\beta}-\frac{\beta}{\alpha}

\frac{\alpha+\beta}{\alpha \beta}

Application of Derivatives

Section: Mathematics

Question : 55 of 64

Marks: +1, -0

If x,y are two positive integers such that x+y=20 and the maximum value of x3y is k at x=α,y=β then ‌

α2β2

[AP EAPCET 20 May 2024 Shift 1]

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