Questions: According to the video, what is one difference found when a circle is compared to an ellipse? Choose the correct answer below. A. A circle has two foci and an ellipse has one center B. A circle has one center and an ellipse has one center C. A circle has one center and an ellipse has two foci D. A circle has two foci and an ellipse has two foci

According to the video, what is one difference found when a circle is compared to an ellipse?

Choose the correct answer below.
A. A circle has two foci and an ellipse has one center
B. A circle has one center and an ellipse has one center
C. A circle has one center and an ellipse has two foci
D. A circle has two foci and an ellipse has two foci
Transcript text: According to the video, what is one difference found when a circle is compared to an ellipse? Choose the correct answer below. A. A circle has two foci and an ellipse has one center B. A circle has one center and an ellipse has one center C. A circle has one center and an ellipse has two foci D. A circle has two foci and an ellipse has two foci
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Solution

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Solution Steps

Step 1: Understand the properties of a circle and an ellipse

A circle is a special type of ellipse where all points on the curve are equidistant from a single point called the center. An ellipse, on the other hand, is defined by two points called foci, and the sum of the distances from any point on the ellipse to these two foci is constant.

Step 2: Analyze the options
  • Option A: A circle has two foci and an ellipse has one center.
    This is incorrect because a circle has one center, not two foci.
  • Option B: A circle has one center and an ellipse has one center.
    This is incorrect because an ellipse has two foci, not one center.
  • Option C: A circle has one center and an ellipse has two foci.
    This is correct because a circle has one center, and an ellipse has two foci.
  • Option D: A circle has two foci and an ellipse has two foci.
    This is incorrect because a circle does not have two foci.

Final Answer

The correct answer is \\(\boxed{\text{C}}\\).

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