Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 36E
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Step 1
The foci of ellipse is (0,6) and (0,-6) , that is foci lie on y-axis , therefore, ellipse is vertical ellipse with center at (0,0).
Therefore, equation of ellipse is of form
Now, y-intercepts of ellipse are (0,9),and (0,-9), so length of major axis of the ellipse is 18
2a=18, that is a=9
Step 2
Now, if c is distance between center of ellipse and one of foci , then c=6.
Now,
Therefore, equation of the ellipse is
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