To find: The standard equation of hyperbola
Answer to Problem 38CR
The standard equation of the hyperbola is
Explanation of Solution
Given information:
The asymptote is
The foci of hyperbola is
Formula used:
The general equation of the hyperbola for transverse horizontal axis is
Calculation:
Foci:
The asymptote of the equation is
The foci lie on a vertical line so the hyperbola has a vertical transverse axis. Use the equation for the asymptotes for a hyperbola with horizontal transverse axis.
Now,
The given foci lie on a vertical line so the hyperbola has a vertical transverse axis. The center is at
Therefore, the standard equation of the hyperbola is
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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