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| PAGE: 471 | SET: Exercises | PROBLEM: 41 |
The vertices are 
and point is 
.
Observe vertices and foci, 
coordinates are equal.
So, the hyperbola has a vertical transverse axis and its standard form is
.
Where, 
is the center.
The distance between center and vertex is 
.
The distance between center and focus is 
.
.
Using midpoint formula, the center of the hyperbola is
The distance between center and vertex is 
.
Find 
.
The hyperbola is passing through the point .
Substitute 
, 
, and 
in .
Substitute 
, 
, and 
in .
The hyperbola equation is 
.
The hyperbola equation is 
.
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