If ^ -1 x-1 x+2 + ^ -1 x+1 x+2 = 4 , then x is equal to :

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

If \(\tan ^{-1} \frac{x-1}{x+2}+\tan ^{-1} \frac{x+1}{x+2}=\frac{\pi}{4}\), then x is equal to :
  1. \(\frac{1}{\sqrt{2}}\)
  2. \(-\frac{1}{\sqrt{2}}\)
  3. \(\sqrt{\frac{5}{2}}\)
  4. \(\pm \frac{1}{2}\)

Answer

(C) 5 2

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