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A regular cone is resting on V.P with axis perpendicular to it a plane is cutting the cone such that it is perpendicular to H.P and inclined to V.P cutting cone at all generators the section formed is ________

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A regular cone is resting on V.P with axis perpendicular to it a plane is cutting the cone such that it is perpendicular to H.P and inclined to V.P cutting cone at all generators the section formed is ________

(a) ellipse

(b) hyperbola

(c) circle

(d) triangle

This question was posed to me at a job interview.

I would like to ask this question from Sections of Cones topic in section Section of Solids of Engineering Drawing

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Best answer
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 ellipse. 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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