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What is a conic section?

Updated: 11/2/2022
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12y ago

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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.

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Q: What is a conic section?
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Related questions

Which conic section is a closed curve?

circle and ellipse are closed curved conic section!, from bilal , Pakistan


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 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.


Who discovered the conic section?

Leibniz


What is the name of a tapered cylinder with different diameters each end?

Bi-truncated conic section, or doubly-truncated conic section


Which conic section has a directrix?

Parabolas have directori.


Which shape never have parallel sides?

Any conic section.


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 conic sections describes a closed curve?

An ellipse is a conic section which is a closed curve. A circle is a special case of an ellipse.


Closed conic section shaped like a flattened circle?

eclipse


What is the definition of a conic section?

the figure defined by intersection of a cone and a plane.


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.