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Question

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 $\mathrm{PQ}$?

$(6,29)$
$(-3,43)$
$(3,33)$
$(-6,45)$

Solution

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