Question

Which conic section results from the

intersection of the plane and the double-napped

cone where the plane is parallel to the

generating line?

parabola

hyperbola

circle

ellipse

Answer 1

Parabola

Explanation:

If the plane is parallel to the generating line, the conic section is a parabola.

Conic section that results from the intersection of the plane and the double-napped cone where the plane is parallel to the generating line is known as Parabola .

Parabola is produced by an angle parallel to the side of the cone.

Answer 2

A parabola.

Explanation:

A circle is generated when the plane is perpendicular to the symmetry axis of the double-napped cone.

An hyperbola is generated when the plane is parallel with the symmetry axis of the double-napped cone.

An ellipse is generated when the plane is not perpendicular to nor parallel with the symmetry axis of the double-napped cone.

Hence, the right answer is a parabola.