To find: The polar equation of the conic with its focus at the pole and vertices
Answer to Problem 150RE
Explanation of Solution
Given:
The conic is hyperbola with vertices
Calculation:
For the given point,
So, the vertices are
The center of the hyperbola is the mid point of the line joining the vertices which is
The length transverse axis the distance between the two vertices, 2a. From the given vertices,
Since the focus is at the pole, the value of
Then,
Now, the directrix from the center is at a distance of
Therefore, the equation of the conic becomes,
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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