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