For every point the difference of its distances from the fixed points and is units.

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

Problem

For every point P(x,y)P(x,y) the difference of its distances from the fixed points F1(0,−10)F_1(0,-10) and F2(0,10)F_2(0,10) is 1212 units. (i) Derive the equation of the locus. (ii) Locate the vertices and state their coordinates. (iii) Find the length of the latus rectum of the curve.

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