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What conic section is produced when both nappes of a right circular cone are intersected?
A hyperbola
What is a conic section?
A conic section is a curve formed by the intersection of a plane with a cone (conical surface). If the section is parallel to the base of the cone, the conic section has a fixed diameter and is a circle. Any other plane that does not intersect the apex is either a parabola, a hyperbola, or an ellipse.
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 are the six conic sections?
A conic section is the intersection of a plane and a cone. By changing the angle and location of intersection, we can produce a circle, ellipse, parabola or hyperbola; or in the special case when the plane touches the vertex: a point, line or 2 intersecting lines.Traditionally, the three types of conic section are the hyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, and is of sufficient interest in its own right that it is sometimes called the fourth type of conic section.
Does a conic section have vertices?
No, a conic section does not have vertices. If it is a circle, it has a center; if it is a parabola or hyperbola, it has a focus; and if it is an ellipse, it has foci.
What conic section is produced when both nappes of a right circular cone are intersected?
A hyperbola
What a conic section?
A conic section is a curve formed by the intersection of a plane with a cone (conical surface). If the section is parallel to the base of the cone, the conic section has a fixed diameter and is a circle. Any other plane that does not intersect the apex is either a parabola, a hyperbola, or an ellipse.
What is a conic section?
A conic section is a curve formed by the intersection of a plane with a cone (conical surface). If the section is parallel to the base of the cone, the conic section has a fixed diameter and is a circle. Any other plane that does not intersect the apex is either a parabola, a hyperbola, or an ellipse.
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 are the six conic sections?
A conic section is the intersection of a plane and a cone. By changing the angle and location of intersection, we can produce a circle, ellipse, parabola or hyperbola; or in the special case when the plane touches the vertex: a point, line or 2 intersecting lines.Traditionally, the three types of conic section are the hyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, and is of sufficient interest in its own right that it is sometimes called the fourth type of conic section.
What is the focal radii?
The focal radii are the distances from the focal point of a conic section (such as a ellipse or a hyperbola) to a point on the curve along the major or minor axis. They are important in defining the shape and orientation of the conic section.
What conic section does the equation x2 4y2 6x 8y plus 1 equals 0 represent?
hyperbola
How conics generated?
A conic section is generated by the intersection of a plane with a double cone. The specific shape of the conic section (ellipse, parabola, hyperbola, or circle) depends on the angle of the plane in relation to the axis of the cone. The different conic sections result from different orientations of the cutting plane.
What is a conic section formed by the intersection of a right circular cone by a plane that cuts the axis and the surface of the cone called?
It sounds like this describes the conic section which is 2 straight lines intersecting at the origin [degenerate form of a hyperbola], but I may be misunderstanding the phrasing of the question.
Why are conic sections called conic?
They are the shapes of the slices when you slice a cone. For example, when you slice it parallel to the base and look at the shape of the slice, you see the conic section known as a "circle". The others are the "ellipse", the "parabola", and the "hyperbola". Which one you get depends only on how you tilt the knife when you slice the cone.
