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The cross-section is a _________ when a plane is inclined to the axis and cuts all the generators of a regular cone.

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The cross-section is a _________ when a plane is inclined to the axis and cuts all the generators of a regular cone.

(a) Rectangular Hyperbola

(b) Hyperbola

(c) Circle

(d) Ellipse

The question was asked in final exam.

I'm obligated to ask this question of Basics of Conic Sections topic in portion Curves used in Engineering Practice of Engineering Drawing

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Correct choice is (d) Ellipse

For explanation: A cone is a solid or hollow object which tapers from a circular base to a point. Here given an inclined plane which cuts all the generators of a regular cone. So the cross-section will definitely ellipse.

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