A line x−y√3=c is drawn through the focus (F) of the parabola y2−8x−16=0. If the two intersection points of the given line and the parabola are P and Q, such that the perpendicular bisector of PQ intersects the x-axis at A, then the length of AF is

A line x−y√3=c is drawn through the focus (F) of the parabola y2�

1.	A line x−y√3=c is drawn through the focus (F) of the parabola y2−8x−16=0. If the two intersection points of the given line and the parabola are P and Q, such that the perpendicular bisector of PQ intersects the x-axis at A, then the length of AF is
Answer» A line $x - \frac{y}{\sqrt{3}} = c$ is drawn through the focus $(F)$ of the parabola $y^{2} - 8 x - 16 = 0.$ If the two intersection points of the given line and the parabola are $P$ and $Q$ , such that the perpendicular bisector of $P Q$ intersects the $x$ -axis at $A$ , then the length of $A F$ is