An ellipse has its foci at (( 4,0) ) and the length of its major axis is 10 units.
MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices
Problem
An ellipse has its foci at (±4,0) and the length of its major axis is 10 units.
(i) Find the values of a, c and b.
(ii) Write the standard equation of the ellipse.
(iii) Determine the coordinates of the co-vertices and the end-points of the latus rectum.
(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.