Problem 45315. Find the point of intersection of tangents.

Given two points on a conic, find the point of intersection of the corresponding tangents.

The conic is given in Cartesian coordinates by:

(1-e^2)*x^2 - 2*f*(1+e)*x +y^2 = 0


1. e is the eccentricity (assume e >=0). 2. f is the x coordinate of the focus which is in the half plane x >= 0.

The conic touches the y-axis at the origin. The foci are on the x-axis.

Additional information:

The conic is:

a. A circle if e = 0

b. An ellipse if 1 > e > 0

c. A parabola if e = 1

d. A hyperbola if e > 1

e. Degenerate if f = 0

Solution Stats

100.0% Correct | 0.0% Incorrect
Last Solution submitted on Feb 24, 2020