To find: The equation in standard form of an ellipse centred at the origin with vertices
The equation of the ellipse is
Given information: The ellipse centred at the origin with vertices
Formula used: The equation of the ellipse with vertices
The coordinates of the foci are
Calculation:
Vertices of the ellipse are
This implies that
The coordinates of foci are
This implies that
Since,
Then
Hence, the equation of the ellipse
Therefore, the required equation of the ellipse is
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- 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