Question

which term describes the red curve in the figure below? a. circle b. hyperbola c. parabola d. ellipse

Explanation:

A circle is formed when a plane cuts a cone perpendicular to its axis. A hyperbola is formed when the plane intersects both nappes of the cone. A parabola is formed when the plane is parallel to the side of the cone. An ellipse is formed when a plane cuts the cone at an angle to its axis (but not perpendicular). In the given figure, the plane cuts the cone at an angle to its axis forming a closed - curve, which is the definition of an ellipse.

Answer:

D. Ellipse