The ordinates of the points P and Q on the parabola with focus (3,0) and directrix x=-3 are in the ratio 3: 1. If R (α, β) is the point of…

The ordinates of the points $\displaystyle P$ and $\displaystyle Q$ on the parabola with focus $\displaystyle (3,0)$ and directrix $\displaystyle x=-3$ are in the ratio $\displaystyle 3: 1$. If $\displaystyle \mathrm{R}(\alpha, \beta)$ is the point of intersection of the tangents to the parabola at P and Q , then $\displaystyle \frac{\beta^2}{\alpha}$ is equal to $\displaystyle \_\_\_\_$: