Find the standard form of the equation of the hyperbola with the given characteristics.
Answer to Problem 48E
The standard equation of the hyperbola is
Explanation of Solution
Given:
The foci are
The standard equation of the hyperbola with y-axis as transverse axis is
The vertices are defined by
The center is
The foci is given by
Now, equate
So,
Similarly,
Therefore,
The centre is
The slope of the asymptotes are
Hence, the standard equation of the hyperbola is
Chapter 10 Solutions
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