Let P(4, 4√3) be a point on the parabola y² = 4ax and PQ be a foc… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 22 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Let $P(4, 4\sqrt{3})$ be a point on the parabola $y^2 = 4ax$ and $PQ$ be a focal chord of the parabola. If $M$ and $N$ are the foot of the perpendiculars drawn from $P$ and $Q$ respectively on the directrix of the parabola, then the area of the quadrilateral $PQMN$ is equal to:

A
$\frac{263\sqrt{3}}{8}$
B
$\frac{343\sqrt{3}}{8}$
C
$\frac{34\sqrt{3}}{3}$
D
$17\sqrt{3}$

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