Question

question 3 of 10 which term describes the red curve in the figure below? a. circle b. hyperbola c. parabola d. ellipse

Explanation:

Step1: Recall conic - section shapes

A circle is formed when a plane cuts a cone perpendicular to the axis. A parabola when the plane is parallel to the side of the cone. An ellipse when the plane cuts the cone at an angle. A hyperbola when the plane cuts both nappes of the cone.

Step2: Analyze the given figure

The plane in the figure cuts both nappes of the cone, which is the characteristic of a hyperbola - forming cross - section.

Answer:

B. Hyperbola