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If $A = \tan^{- 1} (\frac{x \sqrt{3}}{2 k - x})$ and $B = \tan^{- 1} (\frac{2 x - k}{k \sqrt{3}})$ then the value of A – B is

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Correct option is D

tan⁡(A−B)=tan⁡A+tan⁡B1+tan⁡Atan⁡B=x32k−x−2x−kk31+x32k−x⋅2x−kk3=13∴A−B=30∘

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If A=tan−1⁡x32k−x and B=tan−1⁡2x−kk3 then the value of A – B is

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If $A = \tan^{- 1} (\frac{x \sqrt{3}}{2 k - x})$ and $B = \tan^{- 1} (\frac{2 x - k}{k \sqrt{3}})$ then the value of A – B is