Question

Choose the possible descriptions of cross sections formed by the intersection of a plane and a cylinder.

Answer 1

Answer:

Ellipses (special case is called a circle), hyperbolas, parabolas.

Step-by-step explanation:

These are all conic sections.

A conic section is defined by the cross section of a plane and a double-napped cone. There are other special cases called degenerate conics, which are lines and points (occurs when the equation does not follow the usual pattern, however, these are not considered main conics). The main types of conics are: ellipses, hyperbolas, and parabolas.

The illustration below gives more insight into the question.

I hope this helps.