Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question

Question

In the context of a hyperbola, what are 'asymptotes'?
Options
A The focal points of the hyperbola.
B Lines which are perpendicular to the transverse axis.
C Lines which are tangents to the hyperbola at infinity.
Correct Answer
D The directrices of the hyperbola.
Correct Answer

Option C is the correct answer.

Detailed Explanation

Page 16 defines asymptotes: 'Lines which are tangents to he hyperbola at infinity are called asymptotes.'

Hint

Asymptotes are lines that a curve approaches but never quite touches, extending to infinity.

Question Info