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A regular cone is been cut by a plane which is inclined to axis of cone and cuts all the generators the section formed be like _____________

(a) ellipse

(b) hyperbola

(c) circle

(d) parabola

The question was posed to me in examination.

The question is from Sections of Cones topic in section Section of Solids of Engineering Drawing

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Best answer
The correct choice is (a) ellipse

The best explanation: If a regular cone is been cut by plane which is inclined to axis of cone and cutting all generators then the section formed will be an ellipse and if section plane is inclined with axis with angle less than half of the angle between the slanting ends then section formed is a parabola.

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