Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question

Question

According to the HYPERBOLA: Circumscribing Rectangular Method, how many branches does a hyperbola have, and what is true about their focus and directrix?
Options
A One branch, with a single focus and directrix.
B Two branches, each with a focus and directrix, having different eccentricities.
C Two branches, each with a focus and directrix, having the same eccentricity.
Correct Answer
D Multiple branches, without defined foci or directrices.
Correct Answer

Option C is the correct answer.

Detailed Explanation

The introductory text for 'HYPERBOLA: Circumscribing Rectangular Method' on page 17 states: 'The hyperbola has two branches, each with a focus and directrix. Both branches have the same eccentricity.'

Hint

Read the introductory paragraph on page 17 for the Circumscribing Rectangular Method.

Question Info