By definition, a hyperbola is the locus of points whose positive difference of distances from two fixed points and (called foci) is constant. In the grid provided, find points whose difference of distances from points and is 6. That is, locate some points for which or ; point is one such point. Then sketch the hyperbola.
The hyperbola using the given data.
The general equation of the hyperbola is shown below.
The foci of the hyperbola is and .
In the problem, it is given that one point is .
The other point is .
Dividing by ,
Using the values of and , we have to find
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