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If a right circular cone intersects a plane that runs parallel to the edge of the cone what will be the result?
Wiki User
∙ 13y ago
The intersection of the cone and that particular plane is a parabola.
Wiki User
∙ 13y ago
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If a right circular cone intersects a plane that runs parallel to the edge of the cone the result curve will be?
If a right circular cone intersects a plane that runs parallel to the edge of the cone the result curve will be a parabola, unless the intersection includes the vertex of the cone, in which case the intersection is a straight line. This is a conic section. Depending on the angle of the plane, the section will be a circle, an ellipse, a parabola, or two hyperboles.
If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex?
If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex, the resulting curve is a pair of hyperboles.
If a right circular cone intersects a plane that runs parallel?
Then the cross-section is a circle or a point.
Is it true that given a right circular cone a plane that intersects the cone not at the vertex and is parallel to its edge will always result in a parabola regardless of the shape of the cone?
True.
If a right circular cone intersects a plane that runs parallel to the cone's axis the resulting curve will be a?
ellipse
If a right circular cone intersects a plane that runs parallel to the edge of the cone the result curve will be?
If a right circular cone intersects a plane that runs parallel to the edge of the cone the result curve will be a parabola, unless the intersection includes the vertex of the cone, in which case the intersection is a straight line. This is a conic section. Depending on the angle of the plane, the section will be a circle, an ellipse, a parabola, or two hyperboles.
If a right circular cone intersects a plane that runs parallel to the edge of the cone the resulting curve is?
The "conic section" that is produced when a right circular cone intersects a plane that runs parallel to the edge of the cone is a parabola. In the case where the plane also intersects the vertex of the cone, the parabola becomes two intersecting lines.
Given a right circular cone a plane that intersects the cone not at the vertex and is parallel to its edge will always result in a parabola regardless of the shape of the cone?
True
Is it true that if given a right circular cone a plane that intersects the cone not at the vertex and is parallel to its edge will always result in a parabola regardless of the shape of the cone?
Yes, it is true that if given a right circular cone a plane that intersects the cone not at the vertex and is parallel to its edge will always result in a parabola regardless of the shape of the cone. There are four cases... Plane perpendicular to axis: circlePlane between perpendicular to axis and parallel to edge: ellipsePlane parallel to edge: parabolaPlane between parallel to edge and parallel to axis: hyperbolehttp://en.wikipedia.org/wiki/Conic_section
If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex?
If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex, the resulting curve is a pair of hyperboles.
If a right circular cone intersects a plane that runs parallel?
Then the cross-section is a circle or a point.
Is it true that given a right circular cone a plane that intersects the cone not at the vertex and is parallel to its edge will always result in a parabola regardless of the shape of the cone?
True.
If a right circular cone intersects a plane that runs parallel to the edge of the cone the resulting curve will be an?
A Parabola.
If a right circular cone intersects a plane that runs parallel to the edge of the cone the resulting curve will be?
Parabola
If a right circular cone intersects a plane that runs parallel to the cone's axis the resulting curve will be a?
ellipse
What if a right circular cone intersects a plane that passes through one of its nappes but the plane is not parallel to an edge of the cone?
Then the intersection is a hyperbola.
If a right circular cone intersects a plane that passes through one of its nappes but the plane is neither parallel to the edge of the cone nor perpendicular to the cones axis the resulting curve will?
If a right circular cone intersects a plane that passes through one of its nappes, but the plane is not parallel to an edge of the cone, the resulting curve will bea(n) _____ . ellipse
