Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 10 of 10 which term describes the red curve in the figure belo…

Question

question 10 of 10

which term describes the red curve in the figure below?

a. ellipse
b. parabola
c. hyperbola
d. circle

Explanation:

Analyze the intersection of the plane and the double cone

The figure shows a plane intersecting one nappe of a double cone. The plane is tilted at an angle that is greater than the angle of the generator line of the cone but not parallel to the base, resulting in a closed, elongated curve.

Identify the resulting conic section

A closed, bounded curve formed by intersecting a cone with a plane is an ellipse.

Answer:

  • A. Ellipse (Correct answer)
  • B. Parabola
  • C. Hyperbola
  • D. Circle