To prove: The one of the foci of the ellipse of the polar equation
Answer to Problem 78E
It is proved that one of the foci of the ellipse of the polar equation
Explanation of Solution
Given information: The given polar equation of an ellipse is
Calculation:
The polar equation of ellipse
It can be concluded that the foci of the polar equation of an ellipse
To prove that the one of the foci is located at the origin, show that one of the points
Substitute
Further simplify.
Consider the positive value.
So, it is proved that the one of the foci is located at the origin.
Hence, it is proved that one of the foci of the ellipse of the polar equation
Chapter 10 Solutions
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