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Tofind:the conic of the polar equation and graph the polar equation.
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Answer to Problem 55RE
The conic is hyperbolawith transverse axis perpendicular to directrix.
Explanation of Solution
Given:
Concept used:
For a conic with eccentricity e
If
If
If
For a conic with focus at origin and Directrix is
Then Polar equation of the conic is
For a conic with focus at origin and Directrix is
Then Polar equation of the conic is
Calculation:
Comparing this with polar equation:
Here
If
So, the conic isellipse with the major axis perpendicular to directrix.
The directrix is parallel to polar axis at a distance 6 units below the pole.
The graph of the polar equation
Hence, the conic is ellipse with the major axis perpendicular to directrix.
Chapter 10 Solutions
Precalculus
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