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KVPY2020MathematicsSequences and Series

Let x and y be two positive real numbers such that x + y = 1 . Then the minimum value of 1 x + 1 y is-

Options

  1. A2
  2. B5 2
  3. C3
  4. D4

Correct answer

D. 4

Step-by-step solution

x + y = 1 and x ,   y > 0 Apply A M ≥ H M x + y 2 ≥ 2 1 x + 1 y ⇒ 1 x + 1 y ≥ 4

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