Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question
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Question

If drawing a hyperbola with an eccentricity of 3/2 using the Locus Method (Given eccentricity), how many divisions is the line segment DF divided into, and where is the vertex located from D?
Options
A Divided into 3 parts, vertex 1 division from D
B Divided into 5 parts, vertex 2 divisions from D
Correct Answer
C Divided into 2 parts, vertex 1 division from D
D Divided into 3 parts, vertex 2 divisions from D
Correct Answer

Option B is the correct answer.

Detailed Explanation

Step 2 of 'HYPERBOLA: Locus Method (Given eccentricity)' (page 15) states: 'Divide DF into five (3+2) parts and locate the vertex 2 divisions from D.' The '3+2' corresponds to the numerator and denominator of the eccentricity 3/2.

Hint

The number of divisions and vertex location are directly derived from the eccentricity value (e = 3/2 means e = focus distance / directrix distance).

Question Info

Course: GET 102
Topic: GEOMETRIC CONSTRUCTION: CONIC SECTIONS
Type: Objective
Difficulty: Not specified
Question 42 of 308
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