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JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1
If tan⁡−12x+tan⁡−13x=π4\tan ^{-1} 2 x+\tan ^{-1} 3 x=\frac{\pi}{4}, then x=x=
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Correct option: C
1/61 / 6
Option C (1/61 / 6) is correct because solving the equation tan⁡−12x+tan⁡−13x=π4\tan^{-1} 2x + \tan^{-1} 3x = \frac{\pi}{4} leads to the solution x=1/6x = 1/6.

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