Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question

Question

When using the Parabola - Locus Method, what is the radius used for drawing arcs from the focus (F)?
Options
A Equal to the distance from the vertex to the directrix
B Equal to the distance from the focus to the vertex
C Equal to the distance of the directrix from the parallel lines
Correct Answer
D Equal to half the distance between the focus and the directrix
Correct Answer

Option C is the correct answer.

Detailed Explanation

Step 4 of the 'PARABOLA- Locus Method' (page 13) states: 'With F as centre, and radii equal to the distance of the directrix from the parallel lines, draw arcs to cut the parallel lines'.

Hint

The radius changes for each parallel line, corresponding to the distance from the directrix to that line.

Question Info