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| PAGE: 663 | SET: Exercises | PROBLEM: 29 |
The hyperbola equation is 
.
The general form of hyperbola is 
.
Where, The hyperbola is transverse about 
-axis and 
is the center.
is the distance between center and vertex.
is the distance between center and focus and 
.
The vertices of the hyperbola is 
.
The foci of the hyperbola is 
.
Asymptotes of the hyperbola are 
.
The hyperbola equation is 
.
Comapre the equation with general form of hyperbola.
The values of 
and 
.
Substitute 
and in .
.
Substitute 
in 
.
.
The foci is at 
and 
.
Substitute in 
.
The vertices are at 
and 
.
Substitute and in 
.
.
The asymptotes are 
and 
.
Find the points above and below the center by susbtituting 
in .
.
The points above and below the center are 
and 
.
Graph :
Graph of the hyperbola is
.gif)
The center of the hyperbola is 
.
The hyperbola is transverse about -axis.
The vertices are at 
and .
The foci is at 
and 
.
The asymptotes are 
and 
.
Graph of the hyperbola is
.
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