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 ________. [8-Apr-2023 shift 2]

Parabola Part 2

Section: Mathematics

Question : 42 of 45

Marks: +1, -0

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 intersection of the tangents to the parabola at P and Q, then ‌

β2

is equal to ________.

[8-Apr-2023 shift 2]

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