Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question
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Question

In the Ellipse - Foci Method, when drawing intersecting arcs to find points on the ellipse, what must be true about the sum of the radii from the two focal points (F1 and F2)?
Options
A The sum of radii must equal the length of the minor axis (CD)
B The sum of radii must be constant and equal to the length of the major axis (AB)
Correct Answer
C The sum of radii must be equal to the distance between the foci
D The sum of radii is variable and depends on the selected points
Correct Answer

Option B is the correct answer.

Detailed Explanation

The definition of an ellipse (page 5) states that 'the sum of its distance from the two fixed points, foci, is constant and equal to the major axis.' Step 4 of the 'ELLIPSE- Foci Method' (page 8) confirms this: 'Draw intersecting arcs whose sum of radii is AB from F1 and F2.'

Hint

Recall the fundamental definition of an ellipse as a locus of points.

Question Info

Course: GET 102
Topic: GEOMETRIC CONSTRUCTION: CONIC SECTIONS
Type: Objective
Difficulty: Not specified
Question 33 of 308
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