If $\tan ^{-1} 2 x+\tan ^{-1} 3 x=\frac{\pi}{4}$, then $x$ is equal to

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Hard

1 of 1

Application +4 | -1

\tan ^{-1} 2 x+\tan ^{-1} 3 x=\frac{\pi}{4}

, then

x

is equal to

View answer and explanation

Correct option: B

\frac{1}{6}

Option B (

\frac{1}{6}

) is correct because solving the equation

\tan^{-1} 2x + \tan^{-1} 3x = \frac{\pi}{4}

leads to

x = \frac{1}{6}

, after discarding the extraneous solution.

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