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The cross-section gives a __________ when the cutting plane is parallel to axis of cone.

(a) Parabola

(b) Hyperbola

(c) Circle

(d) Ellipse

The question was posed to me by my school teacher while I was bunking the class.

The query is from Basics of Conic Sections topic in division Curves used in Engineering Practice of Engineering Drawing

1 Answer

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Correct option is (b) Hyperbola

Explanation: If the cutting plane makes angle less than exterior angle of the cone the cross-section gives a ellipse. If the cutting plane makes angle greater than the exterior angle of the cone the cross- section may be parabola or hyperbola.

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