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 $$\tan \theta =$$
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