Conic Sections · Parametric chord of a parabola

Let chord

PQ

of length

3\sqrt{13}

of the parabola

y^2 = 12x

be such that the ordinates of points

P

and

Q

are in the ratio

1:2

. If the chord

PQ

subtends an angle

\alpha

at the focus of the parabola, then

\sin\alpha

is equal to:

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