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JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Application +4 | -1
If a,b>0a, b>0, then the minimum value y=b2a−x+a2x,0<x<ay=\frac{b^2}{a-x}+\frac{a^2}{x}, 0 < x < a is
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Correct option: D
(a+b)2a\frac{(a+b)^2}{a}
Option D ((a+b)2a\frac{(a+b)^2}{a}) is correct because by finding the critical points of the function and checking the second derivative, we can determine the minimum value.

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