If xy = a^2 and S = b^2x + c^2y where a, b and c are constants then the minimum value of S is

JEE Advanced Mathematics question

If and where and are constants then the minimum value of is

Answer: (C)

Take and (the usual intent). From , , so

S(x) = + .

= - = 0 ⇒ x = \ (x>0), = > 0.

So is mini

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Question ID VK-109390