Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question

Question

An Ellipse is created when a plane passes through a right circular cone at an angle to the axis that is:
Options
A Perpendicular to the axis.
B Parallel to the base.
C Greater than the angle between the axis and the sides.
Correct Answer
D Smaller than the angle between the axis and the sides.
Correct Answer

Option C is the correct answer.

Detailed Explanation

Page 3 states an Ellipse: 'is a curve created when a plane passes through a right circular cone at an angle to the axis that is greater than the angle between the axis and the sides.'

Hint

The angle of the cutting plane relative to the axis and the cone's elements determines the type of conic section.

Question Info