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

Which of the following statements best describes the relationship between any point-example-1

2 Answers

7 votes

Answer:

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.

6 votes

Answer:

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.

User Plywood
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