CUET CUET Mathematics 2024 - If ^-1(23^-x+1)= ^-1(33^x+1), then which one of the following is true ? | PYQs + Solutions

CUET Mathematics 2024

Geometry

Trigonometry

Medium

If $\tan ^{-1}\left(\frac{2}{3^{-x}+1}\right)=\cot ^{-1}\left(\frac{3}{3^{x}+1}\right)$ , then which one of the following is true ?

There is no real value of x satisfying the above equation.

There is one positive and one negative real value of

x

satisfying the above equation.

There are two real positive values of x satisfying the above equation.

There are two real negative values of

x

satisfying the above equation.

Correct Option: 2

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