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16 September, 04:14

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

+3
Answers (2)
  1. 16 September, 04:52
    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.
  2. 16 September, 05:39
    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.
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