Point lies on the parabola

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Point P(4,12)P(4,12) lies on the parabola y2=36xy^{2}=36x. (i) Find the coordinates of its image QQ obtained by reflecting PP about the axis of the parabola. (ii) Determine the coordinates of the midpoint MM of PQPQ.

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