An equation for the given hyperbola.
It has been determined that the equation of the given hyperbola is
Given:
Concept used:
The equation of a hyperbola in standard form with focal axis
The equation of a hyperbola in standard form with focal axis
Calculation:
It can be seen from the given figure that the vertices of the given hyperbola are
Comparing these vertices with
Adding the equations
Simplifying,
Put
Put
Now, from the figure, it can be seen that the point
Put
Solving,
Put
This is the equation of the given hyperbola.
Conclusion:
It has been determined that the equation of the given hyperbola is
Chapter 8 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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