MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices
Problem
An ellipse has its major axis along the x-axis. The distance between its foci is 10 and the length of its minor axis is 8.
(i) Determine the standard equation of the ellipse.
(ii) Find the eccentricity of the ellipse.
(iii) Write the coordinates of the foci and the vertices.
(iv) Obtain the coordinates of the endpoints of the latus rectum.
(v) Calculate the exact length of the latus rectum.