Answer the following questions about conic sections. 1. If the eccentricity of an ellipse is equal to 0, which type of conic section is it? 2. Which conic section has two vertices, two foci, and one directrix? 3. Which conic section has two vertices and two foci? 4. Which conic section has an eccentricity of 1? 5. What shape do you think is formed when a double-napped cone is sliced parallel to the base and where the two cones intersect?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 31E
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Answer the following questions about conic sections.
1. If the eccentricity of an ellipse is equal to 0, which type of conic section is it?
2. Which conic section has two vertices, two foci, and one directrix?
3. Which conic section has two vertices and two foci?
4. Which conic section has an eccentricity of 1?
5. What shape do you think is formed when a double-napped cone is sliced parallel to the base
and where the two cones intersect?
Transcribed Image Text:Answer the following questions about conic sections. 1. If the eccentricity of an ellipse is equal to 0, which type of conic section is it? 2. Which conic section has two vertices, two foci, and one directrix? 3. Which conic section has two vertices and two foci? 4. Which conic section has an eccentricity of 1? 5. What shape do you think is formed when a double-napped cone is sliced parallel to the base and where the two cones intersect?
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