If tan A = 1/√x(x² + x + 1), tan B = √x/√(x² + x + 1) and tan C =… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 1 February, Shift 1Trigonometric Equations

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

A
$C$
B
$\pi - C$
C
$2\pi - C$
D
$\pi/2 - C$

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