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| PAGE: 368 | SET: Exercises | PROBLEM: 44 |
The ellipse is 
.
Since 
, the ellipse is vertical.
Thus, the 
-coordinate of vertices and focus are same.
The standard form of ellipse is 
,
where 
is the center of the ellipse, 
is the length of the major axis and 
is the length of the minor axis.
The distance between center and vertex is 
.
The distance between center and focus is 
.
.
Consider .
Compare the above equation with 
.
.
Center : 
.
Vertices :
Now 
.
.
The foci of ellipse : 
.
Graph the ellipse.
Graph the equation .
Plot the center point 
.
Plot the focus points 
and 
.
Plot the vertex points 
and 
.
Plot the two points above and below the center 
and 
.
Center : 
Foci : 
and 
.
Vertices : 
and 
.
Graph of the ellipse is :
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