For the parabola

MATHEMATICS · Multi-part · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

For the parabola y2=12xy^{2}=12x, let PP be a point on the curve whose abscissa is 2727. Answer the following: (i) Find both possible ordinates of PP. (ii) Compute the distance between the two points on the parabola that have abscissa 2727. (iii) Identify which of these points lies in the first quadrant and justify your answer.

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