If ${\tan ^{ - 1}}x + {\tan ^{ - 1}}y = \frac{\pi }{4}$, then

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1

{\tan ^{ - 1}}x + {\tan ^{ - 1}}y = \frac{\pi }{4}

, then

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Correct option: A

x + y + xy = 1

Option A (

x + y + xy = 1

) is correct because it is derived by applying the tangent addition formula to the given equation and simplifying.

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