Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question

Question

In the ELLIPSE - Foci Method, what is the sum of the radii (PF₁ + PF₂) from any point P on the ellipse to the two foci F₁ and F₂ equal to?
Options
A The minor axis (CD)
B Half the major axis (Half AB)
C The major axis (AB)
Correct Answer
D The distance between the foci (F₁F₂)
Correct Answer

Option C is the correct answer.

Detailed Explanation

Page 5, under 'ELLIPSE', states: 'An ellipse is a curve traced by a point moving such that the sum of its distance from the two fixed points, foci, is constant and equal to the major axis.' The formula also shows PF₁ + PF₂ = AB.

Hint

The definition of an ellipse on page 5 provides this fundamental property.

Question Info