Concept explainers
To find: The center, vertices, foci and length of major and minor axis of ellipse and represent it through a graph.
Answer to Problem 15RE
Center is at
Focii
Vertices
Major axis length
Explanation of Solution
Given information:
Given equation of the ellipse is
Calculation:
If the equation of the ellipse:-
Then center of the ellipse is
If
Then length of the major axis
Length of the minor axis
If
Then length of major axis
Then length of minor axis
If
Coordinate of the vertices are
Coordinates of the foci are
If
Coordinate of the vertices
Coordinate of the foci
Convert
Thus, the length of the major axis
Length of the minor axis
Cenetr of the ellipse
Coordinate of vertices
Coordinate of foci
Foci
Interpretation :
Through the equation of the ellipse the following values are computed
Center is at
Focii
Vertices
Major axis length
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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