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Parabola question

2019 · 12 Jan · Shift 1 · Q31

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PYQ Library
JEE Main
Mathematics
Parabola
2019 · 12 Jan · Shift 1 · Q31

Parabola question

2019 · 12 Jan · Shift 1 · Q31

JEE MainMathematicsParabolaMCQ+4 / −1

Let P(4, –4) and Q(9, 6) be two points on the parabola, y2 = 4x and let x be any point on the arc POQ of this parabola, where O is the vertex of this parabola, such that the area of

\Delta

PXQ is maximum. Then this maximum area (in sq. units) is :

A
${{625} \over 4}$
B
${{125} \over 4}$
C
${{75} \over 2}$
D
${{125} \over 2}$

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