Problem

Problem

Let

PQ

be a focal chord of the parabola

y^2 = 4ax

. The tangents to the parabola at

P

and

Q

meet at a point lying on the line

y = 2x + a

,

a > 0

. If chord

PQ

subtends an angle

\theta

at the vertex of

y^2 = 4ax

, then

\tan \theta

is equal to a.

\frac{2}{3}\sqrt{7}

b.

-\frac{2}{3}\sqrt{7}

c.

\frac{2}{3}\sqrt{5}

d.

-\frac{2}{3}\sqrt{5}

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