To find: The equation of the hyperbola for any point at which the difference between its distances from the points
Answer to Problem 101E
The equation of the hyperbola is
Explanation of Solution
Given information:
The difference between its distances from the points
Calculation:
Assume the point
Use the distance formula for the distance of the point
Use the distance formula for the distance of the point
The difference in the distances is
Simplify the equation.
Further simplify,
Further simplify,
Further simplify,
Further simplify,
Further simplify,
Further simplify,
Therefore, the equation of the hyperbola is
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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