If for θ ∈ [ -π/3, 0 ], the points (x, y) = ( 3 tan( θ + π/3), 2… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 7 April, Shift 1Trigonometric Equations

If for $\theta \in \left[ -\frac{\pi}{3}, 0 \right]$ , the points $(x, y) = \left( 3 \tan\left( \theta + \frac{\pi}{3} \right), 2 \tan\left( \theta + \frac{\pi}{6} \right) \right)$ lie on $xy + \alpha x + \beta y + \gamma = 0$ , then $\alpha^2 + \beta^2 + \gamma^2$ is equal to:

A
$80$
B
$72$
C
$96$
D
$75$

Answer & step-by-step solution

Practice more Trigonometric Equations questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Trigonometric Equations

Answer & step-by-step solution

Practice more Trigonometric Equations questions

Related questions