Consider the standard parabola .

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

Problem

Consider the standard parabola y2=4ax (a>0)y^{2}=4ax\,(a>0). (i) Define the latus rectum of a parabola. (ii) Prove that the length of the latus rectum of the parabola y2=4axy^{2}=4ax is 4a4a. (iii) Hence obtain the coordinates of the end-points of the latus rectum of this parabola.

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