defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Parabola, Ellipse and Hyperbola Parabola
Let P \((4, 4\sqrt3)\) be a point on the parabola y2 = 4ax and PQ be a focal chord of the parabola. If M and N are the foot of perpendiculars drawn from P and Q respectively on the directrix of the parabola, then the area of the quadrilateral PQMN is equal to:
1
\(\frac{263 \sqrt{3}}{8}\)
2
\(17\sqrt{3}\)
3
\(\frac{343 \sqrt{3}}{8}\)
4
\(\frac{34 \sqrt{3}}{3}\)