Concept explainers
To calculate: To find the x- and y-intercepts of the hyperbola and the equation of its asymptotes and to tell on which of the coordinate axes its foci lie
Answer to Problem 6OE
x- intercept is
Explanation of Solution
Given information: Equation of hyperbola is
Formula Used:
The hyperbola with center
Equation of the asymptotes are
The hyperbola with center
Equation of the asymptotes are
Calculation:
Equation of hyperbola is given as follows:
Rewriting and divide both sides of equation by
Comparing the equation with standard form of the equation of hyperbola
Foci is calculated as follows:
Thus, Foci are
Also, asymptotes are calculated as follows:
Substituting the values:
Conclusion:
Hence, x-intercept is
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