For an ellipse centred at the origin

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

Problem

For an ellipse centred at the origin, one vertex is at (8, 0)(8,\,0) and the eccentricity is 35\dfrac{3}{5}. The major axis lies along the xx-axis. (i) Determine the lengths aa, bb and cc. (ii) Write the standard equation of the ellipse. (iii) State the length of the minor axis. (iv) Give the coordinates of the two foci and the two co-vertices.

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