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Earn +20 ptsQ: What a hyperbola has that other conic doesn't have?
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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.
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 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
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