If ^ -1 x-1 x+2 + ^ -1 x+1 x+2 = 4 , then x is equal to :
Mathematics · JEE Main · NTA Exams — Sets, 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 :
- \(\frac{1}{\sqrt{2}}\)
- \(-\frac{1}{\sqrt{2}}\)
- \(\sqrt{\frac{5}{2}}\)
- \(\pm \frac{1}{2}\)
Answer
(C) 5 2
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