Question

A regular cone is been cut by a cutting plane which passes through the apex of cone and making some angle with axis less than half of angle between the slanting ends the section will be like __________

(a) ellipse

(b) hyperbola

(c) circle

(d) triangle

This question was addressed to me at a job interview.

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

Answer 1

The correct choice is (d) triangle

To elaborate: If a cone made to cut by a plane parallel to its axis and some distance away from it the section formed is hyperbola. If the section plane is perpendicular to axis the section is circle. If section plane passes through apex the section formed is a triangle.