JEE Math Practice Question
Let $\mathrm{P}(4,4 \sqrt{3})$ be a point on the parabola $y^2=4 \mathrm{a} x$ 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 :
- A.$\frac{34 \sqrt{3}}{3}$
- B.$\frac{343 \sqrt{3}}{8}$
- C.$17 \sqrt{3}$
- D.$\frac{263 \sqrt{3}}{8}$
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