To find: The polar equation of the conic with its focus at the pole.
Answer to Problem 112RE
The polar equation of the conic with its focus at the pole is
Explanation of Solution
Given information:
The hyperbola vertex are
Calculation:
The hyperbola vertex are
The equation of the hyperbola is
Calculate the value of
The directrix of the hyperbola is vertical, to the right of the pole or it can be said that the hyperbola has horizontal transverse axis. So an equation of the form
In general the directrices are the lines parallel to the minor axis, at a distance
One of the foci is at
Calculate the distance between the pole and the directrix is,
The equation of the parabola in polar form is,
Therefore, the polar equation of the conic with its focus at the pole is
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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