An ellipse has its centre at the origin

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

Problem

An ellipse has its centre at the origin, vertices at (0, ±7)(0,\,\pm7) and foci at (0, ±5)(0,\,\pm5). (i) Find the value of bb. (ii) Obtain the standard equation of the ellipse. (iii) Calculate the length of the latus rectum and state the coordinates of its endpoints corresponding to the focus (0, 5)(0,\,5).

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