To calculate: To find the equation of the hyperbola
Answer to Problem 11WE
Equation of hyperbola is
Explanation of Solution
Given information: Foci is
Formula Used:
The hyperbola with center
Equation of the asymptotes are
The hyperbola with center
Equation of the asymptotes are
Calculation:
Foci of hyperbola are given as follows:
Comparing the foci with
Thus,
On solving (1) and (2):
And
Also given that difference of the focal radii is
Thus,
On solving:
Now,
Equation of hyperbola
Substituting the values:
Conclusion:
Hence, equation of hyperbola is
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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