Identify the type of conic section.
-Identify the type of conic section consisting of the set of all points in the plane for which the sum of the distances from the points (4, 0) and (-4, 0) is 28.
A) Parabola
B) Ellipse
C) Hyperbola
D) Circle

Question

Quizplus · Accepted Answer

The given set of points describes an ellipse, as an ellipse is defined by the set of points where the sum of the distances from two fixed points (the foci) is constant. In this case, the two fixed points are (4, 0) and (-4, 0), and the constant sum of distances is 28.

Identify the Type of Conic Section