To identify:
Given polar equation of the form represents an ellipse, a parabola or hyperbola.
Answer to Problem 79E
Explanation of Solution
Given information:
Calculation:
The locus of a point which maintains constant ratio between the distances from a fixed point to from fixed line is conic.
The constant ratio is called eccentricity of that conic.
Lets the consider polar equation,
Polar equation of conic in standard form is,
Equation
It is know that Conic is parabola if,
So the equation
It is know that conic is ellipse if
So the equation
It is know that conic is hyperbola if
So the equation
The polar equation,
Represents parabola in case
Represents ellipse in case
Represents hyperbola in case
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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