Mathematics

Mathematics

Problem

If tan⁡−1a+xa+tan⁡−1a−xa=π6\tan^{-1} \frac{a+x}{a} + \tan^{-1} \frac{a-x}{a} = \frac{\pi}{6}, then x2=x^2 = (a) 23a2\sqrt{3} a (b) 3a\sqrt{3} a (c) 23a22\sqrt{3} a^2 (d) None of these

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