Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question
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Question

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

Option B is the correct answer.

Detailed Explanation

Page 14, 'STEPS 3' of the Hyperbola: Locus Method 1 states: '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

Check step 3 of the Hyperbola Locus Method 1 on page 14.

Question Info

Course: GET 102
Topic: GEOMETRIC CONSTRUCTION: CONIC SECTIONS
Type: Objective
Difficulty: Not specified
Question 26 of 308
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