Let P Q be a focal chord of the parabola $y^2=4 a x$. The tangents to the parabola at $P$ and $Q$ meet at a point lying on the line $\mathrm{y}=2 \mathrm{x}+\mathrm{a}, \mathrm{a}>0$.
If chord PQ subtends an angle $\theta$ at the vertex of $\mathrm{y}^2=4 \mathrm{ax}$, then $\tan \theta=$
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