Mathematics

Problem

For an ellipse centred at the origin, one vertex is at

(8,\,0)

and the eccentricity is

\dfrac{3}{5}

. The major axis lies along the

x

-axis. a. (i) Determine the lengths

a

b

and

c

. b. (ii) Write the standard equation of the ellipse. c. (iii) State the length of the minor axis. d. (iv) Give the coordinates of the two foci and the two co-vertices.

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