Tangents drawn from the point (−8,0) to the parabola y²=8x touch the parabola at P and Q. If F is the focus of the parabola, then the area of the triangle PFQ (in sq. units) is equal to?

Equation of the chord of contact PQ is given by T=0. T≡4(x+x1)−yy1=0, where (x1,y1)≡(−8,0) ∴ chord of contact is x=8. Coordinates of point P and Q are (8,8) and (8,−8). Focus of the parabola is F(2,0). Area of triangle PQF = 1/2 × (8−2) × (8+8) = 48 sq. units