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| PAGE: 359 | SET: Exercises | PROBLEM: 48 |
The standard form of an ellipse centered at the origin with major and minor axes of lengths 
and 
(where 
) is 
.
Where,
The distance between center and vertex is 
.
The distance between center and focus is 
.
.
The equation of ellipse is 
.
Write the equation in standard form.
The ellipse is 
.
Since the denominator of 
- term is larger than the denominator of 
- term, the major axis is vertical.
Compare it with 
.
Center of the ellipse : 
.
.
Vertices of the ellipse : 
.
Focus of the 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 of the ellipse : .
Vertex of the ellipse : 
and 
.
Graph of the ellipse is :
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