If ^ -1 ( a x )+ ^ -1 ( ~b x )= 2 , then x is equal to :
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
If \(\tan ^{-1}\left(\frac{\mathrm{a}}{\mathrm{x}}\right)+\tan ^{-1}\left(\frac{\mathrm{~b}}{\mathrm{x}}\right)=\frac{\pi}{2}\), then x is equal to :
- \(\sqrt{a b}\)
- \(\sqrt{2 a b}\)
- 2ab
- ab
Answer
(A) a b
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