For an ellipse whose centre is the origin, the semi-major axis is 5 units long and lies on the x-axis, while the semi-minor axis is 3 units long.
Answer the following questions.
(i) Write the standard equation of the ellipse.
(ii) Find the coordinates of the centre, the two vertices, the two co-vertices and the two foci.
(iii) On graph paper, draw a neat sketch of the ellipse using the scale 1 cm = 1 unit and label all the points obtained in part (ii).