An ellipse has its foci at and its major axis length equal to 12 units.

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

Problem

An ellipse has its foci at (±5,0)(\pm5,0) and its major axis length equal to 12 units. (i) Find the standard equation of the ellipse. (ii) Show that the point R(7,2)R(7,2) lies outside the ellipse. (iii) Let S(h,0)S(h,0) be a point on the xx-axis that lies exactly on the ellipse. Determine the smallest positive value of hh and justify your result.

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