To find: The polar equation of Ellipse with given characteristics and focus at the pole.
Answer to Problem 111RE
The required equation of ellipse is
Explanation of Solution
Given information:
The given conic is an ellipse with vertices
Formula used:
The formula to find the polar equation of ellipse is:
Here, e is the eccentricity and a is the major axis of the ellipse.
Calculation:
Given that the vertices of ellipse are
The distance between the pole and center of the ellipse is,
And the length of the major axis is,
Hence, the eccentricity of the ellipse is,
Put the values of
Therefore, polar equation of the ellipse having vertices
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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