Question

question 9 of 10 if both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone, the resulting curve will be a(n) ____. a. circle b. parabola c. hyperbola d. ellipse

Explanation:

When a plane intersects both nappes of a right - circular cone and does not pass through the vertex, the resulting conic section is a hyperbola. A circle is formed when the plane is perpendicular to the axis of the cone. A parabola is formed when the plane is parallel to the side of the cone. An ellipse is formed when the plane intersects one nappe of the cone at an angle to the axis.

Answer:

C. hyperbola