Concept explainers
To find: the standard form of equation of ellipse.
Answer to Problem 25CR
The standard form of ellipse is
Explanation of Solution
Given information:
Vertex:
Calculation: to find the standard form of ellipse,
The centre of the ellipse is the midpoint of the line segment joining the foci.
So by the midpoint formula, the centre of the ellipse is
The distance from the centre to one foci is
Since, the vertex of the ellipse is
Now, by using the relation between
Since, the standard form of the ellipse is
Now, substitute and simplify,
Thus, The standard form of ellipse is
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning