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14 August, 13:03

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

+4
Answers (2)
  1. 14 August, 14:28
    0
    A parabola.

    Step-by-step 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.
  2. 14 August, 14:28
    0
    Parabola

    Step-by-step 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.
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