To find: The polar equation of Hyperbola with given characteristics and focus at the pole.

Answer to Problem 112RE
The required equation of hyperbola is
Explanation of Solution
Given information:
The given conic is hyperbola with vertices
Formula used:
The formula to find the polar equation of hyperbola is:
Here, e is the eccentricity and a is the major axis of the ellipse.
Calculation:
Given that the vertices of hyperbola are
The distance between the pole and center of the ellipse is,
And the length of the semi − major axis is,
Hence, the eccentricity is,
Put the values of
Therefore, polar equation of the hyperbola having vertices
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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