Question Detail

GET 102 GEOMETRIC CONSTRUCTION: CONIC SECTIONS Objective Question

Question

According to the locus definition of an ellipse, the sum of the distances from any point on the ellipse to the two fixed points (foci) is constant and equal to what?
Options
A Half the major axis.
B The minor axis.
C The major axis.
Correct Answer
D Twice the minor axis.
Correct Answer

Option C is the correct answer.

Detailed Explanation

Page 5 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.' It further clarifies: 'PF1 + PF2 = ... = AB', where AB is the major axis.

Hint

Consider the definition of the major axis in relation to the foci's properties.

Question Info