JEE PYQ: Straight Lines Question 4
Question 4 - 2021 (17 Mar Shift 2)
Let $\tan \alpha$, $\tan \beta$ and $\tan \gamma$; $\alpha, \beta, \gamma \neq \frac{(2n-1)\pi}{2}$, $n \in \mathbb{N}$ be the slopes of three line segments $OA$, $OB$ and $OC$, respectively, where $O$ is the origin. If circumcentre of $\triangle ABC$ coincides with origin and its orthocentre lies on the $y$-axis, then the value of $\left(\frac{\cos 3\alpha + \cos 3\beta + \cos 3\gamma}{\cos \alpha \cos \beta \cos \gamma}\right)^2$ is equal to ______.
BETA
