An ellipse has its foci at (±4,0) and the length of its major axis is 10 units.
a. (i) Find the values of a, c and b.
b. (ii) Write the standard equation of the ellipse.
c. (iii) Determine the coordinates of the co-vertices and the end-points of the latus rectum.
d. (iv) Draw a neat sketch of the ellipse, showing and labelling the centre, the vertices, the co-vertices, the foci and the end-points of the latus rectum.