Question

Which of the following statements best describes the relationship between any point on an ellipse and each of its two foci

Answer 1

D. the sum of the distances to each focus equals a certain constant.

Explanation:

In mathematics, an elipse is defined as a curve which surrounds two focal points. The relation between the two focal points and a points on the curve is what defines an elipes, which is "the sum of the two distances to the focal points is a constant".

Therefore, the right answer to this question is D, because that's the defintion of an elipse.

Answer 2

Option D is correct.

Explanation:

The relationship between any point on an ellipse and each of its foci is:

The sum of the distances to each focus equals a certain constant. The constant will be 2a

If d₁ and d₂ are the distances then their sum is d₁ + d₂ = 2a.

Option D is correct.