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JEE Main202125 Feb 2021Evening ShiftMathematicsSequences and SeriesActual

The minimum value of f x = a a x + a 1 - a x , where a , x ∈ R and a > 0 , is equal to:

Options

  1. Aa + 1
  2. B2 a
  3. Ca + 1 a
  4. D2 a

Correct answer

D. 2 a

Step-by-step solution

A . M . ≥ G . M . f x = a a x + a 1 - a x = a a x + a a a x ≥ 2 a

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