Question

What type of curve is created by the intersection of a plane parallel to the side of cone?
A) parabola
B) hyperbola
C) ellipse
D) roulette​

Answer 1

Answer:

Parabola. A parabola is formed when the plane is parallel to the surface of the cone, resulting in a U-shaped curve that lies on the plane.

Answer 2

A parabola type of curve is created by the intersection of a plane parallel to the side of the cone.

• A) parabola is the correct option.
• A conic section is a curve attained by the intersection of a plane with the surface of a double-napped cone.
• When the plane is parallel to the side of one cone, the intersection is known as a parabola.
• A parabola is a plane curve which is mirror-symmetrical and nearly U-shaped. It fits various superficially varied mathematical explanations, which can all be substantiated to interpret precisely the identical curves. One explanation of a parabola encompasses a point and a line.
• When the plane and cone intersect in a closed curve then the outcome is an ellipse.
• In the particular case where the plane is perpendicular to the axis of symmetry of the cone then the ellipse is certainly a circle.
• When the plane and cone intersect in two curves then the outcome is a hyperbola.

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