Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question
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Question

In HYPERBOLA: Locus Method 1 (given transverse axis), how are the foci (F1 and F2) located?
Options
A By measuring a fixed distance from the vertices
B By swinging arcs from the center of the transverse axis with a radius equal to half the length of the diagonal of a square whose sides equal the transverse axis
Correct Answer
C By bisecting the distance between the vertices
D By using an eccentricity formula
Correct Answer

Option B is the correct answer.

Detailed Explanation

Step 3 of 'HYPERBOLA: Locus Method 1' (page 14) describes the process: 'From the centre of the transverse axis, and radii equal to half the length of the diagonal, swing arcs to intersect the horizontal line through the centre of the square. This locates focus F1 and focus F2.'

Hint

The method involves a square construction related to the transverse axis to find the foci.

Question Info

Course: GET 102
Topic: GEOMETRIC CONSTRUCTION: CONIC SECTIONS
Type: Objective
Difficulty: Not specified
Question 40 of 308
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