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Earn +20 ptsQ: 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?
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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.
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