MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices
Problem
Consider the parabola x2=16y with vertex at the origin.
(i) Determine all possible abscissas of the point M on the parabola whose ordinate is 25.
(ii) Calculate the distance of each point obtained in part (i) from the focus of the parabola.
(iii) The focus and the two points found in part (i) form a triangle. Find the area of this triangle.