Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question

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 ends of the transverse axis.
B By bisecting the transverse axis.
C From the centre of the transverse axis, swinging arcs with a radius equal to half the length of the diagonal of the square whose sides equal the transverse axis.
Correct Answer
D By marking off equal spaces along the horizontal line.
Correct Answer

Option C is the correct answer.

Detailed Explanation

Page 14, Step 3 of '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

Review Step 3 of the 'HYPERBOLA: Locus Method 1' on page 14.

Question Info