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?
Options
A By drawing arcs from the center of the transverse axis with a radius equal to the transverse axis length.
B By swinging arcs from the center of the transverse axis with radii equal to half the length of the diagonal of a square whose sides equal the transverse axis.
Correct Answer
C By simply dividing the transverse axis into equal parts.
D By drawing lines perpendicular to the transverse axis at its ends.
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 14, Step 3 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.' The square mentioned has sides equal to the transverse axis (Step 1).

Hint

The method involves a square and its diagonal to find the foci.

Question Info

Course: GET 102
Topic: GEOMETRIC CONSTRUCTION: CONIC SECTIONS
Type: Objective
Difficulty: Not specified
Question 51 of 308
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