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Parabola question

2025 · 22 Jan · Shift 2 · Q44

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PYQ Library
JEE Main
Mathematics
Parabola
2025 · 22 Jan · Shift 2 · Q44

Parabola question

2025 · 22 Jan · Shift 2 · Q44

JEE MainMathematicsParabolaMCQ+4 / −1

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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