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Parabola question

2023 · 13 Apr · Shift 1 · Q24

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PYQ Library
JEE Main
Mathematics
Parabola
2023 · 13 Apr · Shift 1 · Q24

Parabola question

2023 · 13 Apr · Shift 1 · Q24

JEE MainMathematicsParabolaMCQ+4 / −1

Let

\mathrm{PQ}

be a focal chord of the parabola

y^{2}=36 x

of length 100 , making an acute angle with the positive

x

-axis. Let the ordinate of

\mathrm{P}

be positive and

\mathrm{M}

be the point on the line segment PQ such that PM : MQ = 3 : 1. Then which of the following points does NOT lie on the line passing through M and perpendicular to the line

\mathrm{PQ}

?

A
$(6,29)$
B
$(-3,43)$
C
$(3,33)$
D
$(-6,45)$

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