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If p and q are positive real numbers such that p^2+q^2=1 , then the maximum value of (p+q) is

Options

  1. A2
  2. B1 / 2
  3. C1 2
  4. D2

Correct answer

D. 2

Step-by-step solution

Using A.M. .M. aligned & p^2+q^2 2 p q & p q 1 2 & (p+q)^2=p^2+q^2+2 p q & p+q 2 . aligned

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