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No; there is no physical way to intersect a plane and a double-napped cone to obtain parallel lines. The problem lies in getting a second line that doesn't intersect the first, since both cones intersect at a point, there is no way get a second line without intersecting the first line.

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A right circular double-napped cone is intersected by a plane that is parallel to the generator of the cone two conice sections that could be form are?

i suppose it is an hyperbola


Is it true that The point line and pair of intersecting lines are special types of comic sections?

No, the point, line, and pair of intersecting lines are not classified as conic sections. Conic sections are curves obtained by intersecting a plane with a double napped cone, resulting in shapes such as circles, ellipses, parabolas, and hyperbolas. The point and line can be considered degenerate cases of conic sections, but they do not fall into the traditional categories of conic sections themselves.


Which is the best definition of a conic section?

A conic section is a curve obtained by intersecting a plane with a double-napped cone. The resulting shapes can be classified into four types: circles, ellipses, parabolas, and hyperbolas, depending on the angle of the intersecting plane relative to the cone. Each type has unique mathematical properties and applications in various fields, including physics and engineering.


What degenerate form or forms of the parabola cannot be obtained from the intersection of a plane and a double napped cone?

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Double-napped flannel is a type of fabric known for its softness and warmth, achieved through a process that raises fibers on both sides of the material. This "napping" enhances the texture, making it fluffy and comfortable against the skin. Commonly used in clothing like pajamas and blankets, double-napped flannel is favored for its cozy feel and insulating properties. Its durability and breathability also make it suitable for various seasonal uses.


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