Problem 5. Given the ellipse+ = 1 1. What is the length and orientation of the major axis? What is the length and orientation of the minor axis? 2. What are the coordinates of the foci?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.2: The Ellipse
Problem 62E
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Problem 5. Given the ellipse+ = 1
1. What is the length and orientation of the major axis? What is the length and orientation of the minor axis?
2. What are the coordinates of the foci?
3. What is the angle made at point (0,3) by the two segments drawn from the foci?
4. What is the slope of the line that bisects the angle in 3?
5. What is the slope of the tangent to ellipse at the point (0,3)?
6. What is the angle made at point (2, by the two segments drawn from the foci?
7. What is the slope of the line that bisects the angle in 6?
8. What is the slope of the tangent to the ellipse at the point (2,)?
Transcribed Image Text:Problem 5. Given the ellipse+ = 1 1. What is the length and orientation of the major axis? What is the length and orientation of the minor axis? 2. What are the coordinates of the foci? 3. What is the angle made at point (0,3) by the two segments drawn from the foci? 4. What is the slope of the line that bisects the angle in 3? 5. What is the slope of the tangent to ellipse at the point (0,3)? 6. What is the angle made at point (2, by the two segments drawn from the foci? 7. What is the slope of the line that bisects the angle in 6? 8. What is the slope of the tangent to the ellipse at the point (2,)?
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