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Which conic section is created if a plane that is parallel to the edge of a right circular cone intersects one nappe of the cone?
Wiki User
∙ 10y ago
A parabola.
Wiki User
∙ 10y ago
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If a right circular cone intersects a plane that runs parallel?
Then the cross-section is a circle or a point.
If a plane intersects a right circular cone through both nappes what conic section is created?
Hyperbola
Which conic section is created if a plane intersects a right circular cone through both nappes?
A hyperbola.
What has a circular cross section when the cross section is taken parallel?
A cylinder has a circular cross section that is parallel to its base.
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?
Then the cross-section is a circle or a point.
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.
Which conic section is created if a plane intersects a right circular cone through both nappes?
A hyperbola.
If a plane intersects a right circular cone through both nappes what conic section is created?
Hyperbola
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.
What has a circular cross section when the cross section is taken parallel?
A cylinder has a circular cross section that is parallel to its base.
If a right circular cone intersects a plane that runs parallel to cones axis but doesnt cross it?
If your question is "What is the cross-section of the intersection?" then the answer is "A circle." Otherwise, I can't make sense of the question.
What is the parallel cross section of a cone?
The answer depends on the angle at which the axis of the cone intersects the cross-sections.
Which of the following conic sections describes a closed circle?
The question is incomplete, because "the following" was not provided. A circle, however, is a conic section where the sectioning plane is perpendicular to the cone's axis of symmetry and intersects each generator or, more specifically, if it is not a right circular cone, parallel to the generating circle of the cone.
What is the geometric definition of parabola?
It is a section of a right circular cone by a plane that is parallel to one generating line of the cone.
What is the meaning of circular section?
A circular section refers to a part or segment of a larger circular object or shape. It typically describes a section that is formed by cutting or dividing the circular object along a specific path or line. The circular section retains the characteristics and properties of the original circular shape.
What is the vertical cross section of a cylinder?
A cut through a right circular cylinder that is perpendicular to its altitude yields a circular cross-section. A right circular cylinder that is cut on a plane not perpendicular to its altitude but also but also not parallel to its altitude will yield an ellipse whose minor axis is the diameter of the cylinder. Trivial cases of a set of parallel lines, a single line, or the empty set occur when the cut is parallel to the altitude, externally tangent to the cylinder, or does not intersect the cylinder, respectively.
