Derive the standard form of the hyperbola
Answer to Problem 74E
The standard form of hyperbola as
Explanation of Solution
Given:
A hyperbola with center as origin and the horizontal transverse axis is given.
Let the foci of the hyperbola be
Let
Let
Using the definition of hyperbola that the difference between the distances of the point from the foci is a positive constant,
Squaring both sides,
Dividing both sides by 4a.
Squaring both sides,
Dividing both sides by
Let
Hence derived the standard form of hyperbola as
Chapter 10 Solutions
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