The vertex of the parabola is at the origin

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

Problem

The vertex of the parabola x2=12yx^{2}=12y is at the origin. A point SS on the parabola has abscissa 66. (i) Find all possible ordinates of SS. (ii) State whether each such point lies above or below the vertex, giving reasons. (iii) Determine the slope of the straight line joining the vertex to each point SS.

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