If A > 0, B > 0 and A + B = 3 , then the maximum value of tan A tan B is

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

If A > 0, B > 0 and A + B \(=\frac{\pi}{3},\) then the maximum value of
tan A tan B is
  1. \(\frac{1}{\sqrt{3}}\)
  2. \(\frac{1}{3}\)
  3. 3
  4. \(\sqrt{3}\)

Answer

(B) 1 3

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