What is the minimum value of a2x + b2y where xy = c2?

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NDA (Held On: 21 Apr 2019) Maths Previous Year paper
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  1. abc
  2. 2abc
  3. 3abc
  4. 4abc

Answer (Detailed Solution Below)

Option 2 : 2abc
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Detailed Solution

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Concept:

AM-GM inequality:

If x1.  . . Xn ≥ 0, then

Calculation:

Let a2x and b2y are two numbers.

Then apply AM-GM inequality

∴ minimum value of a2x + b2y is 2abc

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