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What is hyperbola in conic section?

The hyperbola is the curve at the boundary of the intersection of the conewith a cutting plane parallel to the cone's axis.


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 are the geometric characteristics of a circle ellipse parabola and hyperbola?

They are all conic sections.


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.


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 are some real world examples of conic sections?

Hyperbola = sundial Ellipse = football


What conic section is produced when both nappes of a right circular cone are intersected?

A hyperbola


How are Parabola and hyperbola related to each other?

They are both conic sections, meaning they can be obtained by the intersection of a plane and a cone. Equivalently, they can be written as an equation of degree 2.


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 conic section does the equation x2 4y2 6x 8y plus 1 equals 0 represent?

hyperbola