Use the information provided to write the standard form equation of each ellipse. 1) Vertices: (11, 0). (–11, 0) Foci: (2V10, 0). (-2 V10, 0) 2) Vertices: (0, 12). (0, –12). Foci: (0, 3 V15). (0. -3 V15)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 35E
icon
Related questions
icon
Concept explainers
Topic Video
Question
Help solving
Writing Equations of Ellipses w/ Center (0, 0)
Recall the formulas for an ellipse with center (0, 0) are as
follows:
Ellipses with center (0, 0)
Standard equation
Vertices
(0, ta)
(+b, 0)
(ta, 0)
(0, +b)
(tc, 0)
Pythagorean Relation a= b² + c²a² = b² + c²
Co-Vertices
Foci
(0, ±c)
Our objective is going to be, given the foci and one other
property of the ellipse, we are going to write the equation of the
ellipse.
Use the information provided to write the standard form
equation of each ellipse.
1) Vertices: (11, 0), (–11, o)
Foci: (2 V10, 0). (-2 V10, 0)
2) Vertices: (0, 12), (0, –12).
Foci: (0, 3 V15), (0. –3 V15)
Use the information provided to write the general conic form
equation of each ellipse.
3) Vertices: (7, 0), (–7, 0)
Foci: (3 V5, 0), (-3 V5,0)
4) Vertices: (0, 9), (0, –9)
Foci: (0, 3 V5), (0, –3 V5)
Transcribed Image Text:Writing Equations of Ellipses w/ Center (0, 0) Recall the formulas for an ellipse with center (0, 0) are as follows: Ellipses with center (0, 0) Standard equation Vertices (0, ta) (+b, 0) (ta, 0) (0, +b) (tc, 0) Pythagorean Relation a= b² + c²a² = b² + c² Co-Vertices Foci (0, ±c) Our objective is going to be, given the foci and one other property of the ellipse, we are going to write the equation of the ellipse. Use the information provided to write the standard form equation of each ellipse. 1) Vertices: (11, 0), (–11, o) Foci: (2 V10, 0). (-2 V10, 0) 2) Vertices: (0, 12), (0, –12). Foci: (0, 3 V15), (0. –3 V15) Use the information provided to write the general conic form equation of each ellipse. 3) Vertices: (7, 0), (–7, 0) Foci: (3 V5, 0), (-3 V5,0) 4) Vertices: (0, 9), (0, –9) Foci: (0, 3 V5), (0, –3 V5)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning