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$If \tan^{- 1} \frac{a}{x} + \tan^{- 1} \frac{b}{x} = \frac{π}{2}, then x =$

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Correct option is A

We have,tan−1⁡ax+tan−1⁡bx=π2⇒ tan−1⁡ax+bx1−abx2=π2⇒1−abx2=0⇒x=ab

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If tan−1⁡ax+tan−1⁡bx=π2, then x=

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Ready to Test Your Skills?

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$If \tan^{- 1} \frac{a}{x} + \tan^{- 1} \frac{b}{x} = \frac{π}{2}, then x =$