If $\tan A =\frac{1}{\sqrt{x\left(x^2+x+1\right)}}, \tan B =\frac{\sqrt{x}}{\sqrt{x^2+x+1}}$ and $\tan C =\left(x^{-3}+x^{-2}+x^{-1}\right)^{1 / 2}, 0

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If $\tan A =\frac{1}{\sqrt{x\left(x^2+x+1\right)}}, \tan B =\frac{\sqrt{x}}{\sqrt{x^2+x+1}}$ and $\tan C =\left(x^{-3}+x^{-2}+x^{-1}\right)^{1 / 2}, 0< A , B , C <\frac{\pi}{2}$, then $A + B$ is equal to : [JEE Main 2024, 1 Feb (Shift 1)]

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If \(\tan A =\frac{1}{\sqrt{x\left(x^2+x+1\right)}}, \tan B =\frac{\sqrt{x}}{\sqrt{x^2+x+1}}\) and \(\tan C =\left(x^{-3…

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