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When the plane cuts the cone at angle parallel to the axis of the cone, then _____ is formed.

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When the plane cuts the cone at angle parallel to the axis of the cone, then _____ is formed.

(a) Hyperbola

(b) Parabola

(c) Circle

(d) Ellipse

I got this question in an interview for job.

Query is from Basics of Conic Sections topic in chapter Curves used in Engineering Practice of Engineering Drawing

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Best answer
The correct choice is (a) Hyperbola

Best explanation: When the plane cuts the cone at an angle parallel to the axis of the cone, then the resulting conic section is called as a hyperbola. If the plane cuts the cone at an angle with respect to the axis of the cone then the resulting conic sections are called as ellipse and parabola.

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