Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question

Question

In HYPERBOLA: Locus Method 1, when drawing arcs to locate points on the hyperbola, what are the radii used for the arcs swung from focus F1 and F2 respectively?
Options
A A1 and B1 (points marked off along the axis)
Correct Answer
B Half the transverse axis for both
C The distance from the center to each focus
D Random lengths to intersect lines
Correct Answer

Option A is the correct answer.

Detailed Explanation

Step 5 of 'HYPERBOLA: Locus Method 1' (page 14) states: 'With A1 as radius, swing an arc from focus F1. With radius B1, swing an arc from focus F2.' Points A1, B1, etc., are marked off on the horizontal line from the focus points (Step 4).

Hint

The radii for arcs are determined by arbitrary points marked along the horizontal axis from the foci.

Question Info