Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question

Question

How is a Hyperbola formed as a conic section by a cutting plane?
Options
A The plane is parallel to the base.
B The plane is perpendicular to the axis.
C The plane is parallel to the side (elements).
D The plane makes a smaller angle with the axis than do the sides (elements).
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

Page 3 defines a Hyperbola: 'is the curve of intersection created when a plane intersects a right circular cone and makes a smaller angle with the axis than do the sides (elements).'

Hint

The hyperbola involves a plane cutting through both parts of a double cone or making a very steep angle.

Question Info