QJEEM19Ma1238: JEE Main 2019 Mathematics - Class 12 JEEM19Ma1238 Solution: Considering only the principal values of inverse functions, the …

Question

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Considering only the principal values of inverse functions, the set
A = { x

\geq

0: tan^{$-$ 1}(2x) + tan^{$-$ 1}(3x) =

\frac{π}{4}

}

Accepted Answer

tan^{$-$ 1}(2x) + tan^{$-$ 1}(3x) =

π

/4

\Rightarrow \frac{5 x}{1 - 6 x^{2}}

= 1

\Rightarrow

6x² + 5x

-

1 = 0

x =

-

1 or x =

\frac{1}{6}

x =

\frac{1}{6}

∵

x > 0

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