To calculate: To find if a line can intersect a conic of the specified type in a single point without being tangent to it
Answer to Problem 12OE
No, a line can intersect an ellipse in a single point without being tangent to it
Explanation of Solution
Given information: Conic is ellipse
Calculation:
Line to intersect an ellipse at a single point without being tangent to the ellipse:
There do no exists any line that intersects ellipse at only one point and line is not tangent to ellipse at the same time
Conclusion:
Hence, no, a line can intersect an ellipse in a single point without being tangent to it
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Additional Math Textbook Solutions
Differential Equations and Linear Algebra (4th Edition)
College Algebra (6th Edition)
Elementary Algebra: Concepts and Applications (10th Edition)
Linear Algebra with Applications (2-Download)
College Algebra (5th Edition)
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education