(Solved): Determine the equation of the hyperbola with center (2,2), a focus at (19,2), and a vert ...

Expert Answer

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Given in the question  the hyperbola with center (?2,?2), a focus at (?19,?2), and a vertex at (?10,?2).
As y coordinates of center, focus, and vertex all are ?2, they lie on the horizontal line y=?2 and general form of such hyperbola is
equation of hyperbola is   


where (h,k) is centre
The length of the major axis of the hyperbola is 2a units.
The length of the minor axis of the hyperbola is 2a units.