JEE 2023 — Mathematics PYQ

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 $(\alpha ,\beta )$ is the point of intersection of the tangents to the parabola at P and Q then $\frac{{\beta }^2}{\alpha }$is equal to _______.