To prove: The equation
Explanation of Solution
Given information:
The equation of the hyperbola is
Proof:
Assume that
As the difference between the distance of a point on hyperbola from the focuses is
So, the length
Now use the Pythagoras theorem.
The distance between the focuses is
Substitute the values in the above equation.
So, the coordinates of the point
As
Substitute
Further simplify,
Further simplify,
Substitute
Hence, the equation
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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