Let PQ be a focal chord of the parabola y²=36 x of length 100, making an acute angle with the positive x -axis. Let the ordinate of P be positive and 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 PQ ?

Coordinate Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 13 Apr, Morning shift · Q4674

JEE Main 202313 Apr, Morning shiftMathematicsHardCoordinate Geometry478× since 2002

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}

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