Question

While cutting, if the plane is at an angle and it cuts all the generators, then the conic formed is called as ______

(a) Circle

(b) Ellipse

(c) Parabola

(d) Hyperbola

I had been asked this question in an interview.

My question is taken from Basics of Conic Sections in division Curves used in Engineering Practice of Engineering Drawing

Answer 1

Correct choice is (b) Ellipse

To explain I would say: If the plane cuts all the generators and is at an angle to the axis of the cone, then the resulting conic section is called as an ellipse. If the cutting angle was right angle and the plane cuts all the generators then the conic formed would be circle.