To calculate: To identify the conic, find its center and foci (in any) and draw the graph
Answer to Problem 18WE
Conic is hyperbola and center is
Explanation of Solution
Given information: Equation of conic is
Formula Used:
The hyperbola with center
Equation of the asymptotes are
The hyperbola with center
Equation of the asymptotes are
Calculation:
Equation of conic is given as follows:
Rewriting and divide both sides of equation by
Above conic is a hyperbola
Comparing the equation with standard form of the equation of hyperbola
Centre is
Foci is calculated as follows:
Thus, Foci are:
Graph the hyperbola as follows:
Conclusion:
Hence, conic is hyperbola and center is
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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