Parametric Equation Locus (Jee Mains)

Basic Ratios, Identities & Formulas

Hard

Parametric Equation Locus

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 + αx + βy + γ = 0, then α² + β² + γ²is equal to :

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