Which is the best definition of a conic section?A.The figure defined by the intersection of a cone and a lineB.The figure defined by the intersection of a cone and a pointC.The figure defined by the intersection of a cone and a planeD.The figure defined by the intersection of a cone and a circle
Question
Which is the best definition of a conic section?A.The figure defined by the intersection of a cone and a lineB.The figure defined by the intersection of a cone and a pointC.The figure defined by the intersection of a cone and a planeD.The figure defined by the intersection of a cone and a circle
Solution
The best definition of a conic section is C. The figure defined by the intersection of a cone and a plane.
Here's why:
A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type. The ancient Greeks studied conic sections, culminating around 200 BC with Apollonius of Perga's systematic work on their properties.
Similar Questions
Which is the best definition of a conic section?
Which term best describes the point, line, or curve defined by the intersection of a cone and a plane?A.Planar sectionB.Conic sectionC.Conic lineD.Planar line
The point, line, and pair of intersecting lines are special types of conic sections.A.TrueB.False
When a right circular cone is cut by a planeparallel to the axis of the cone the conicsection formed is a/an _____________.A. HyperbolaB. ParabolaC. CircleD. Ellipse
Explain how circles, ellipses, parabolas, and hyperbolas are generated as conic sections.
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