.
You are given
= 400.
Divide by 400 both sides. You will get
+ = 1, or, which is the same
+ = 1, or, which is the same
+ = 1. (1)
Equation (1) is the standard equation of an ellipse.
The ellipse is centered at the coordinate origin (0,0).
It has the major axis parallel to y-axis,
so the ellipse is taller than wide.
Its major semi-axis has the length of 5 units,
while the minor semi-axis is of 4 units long.
The vertices are (0,5), (0,-5), (-3,0), (3,0).
The linear eccentricity of the ellipse is = = = 3.
The foci are (0,3) and (0,-3).
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See the lessons
- Ellipse definition, canonical equation, characteristic points and elements
- Standard equation of an ellipse
- Identify elements of an ellipse given by its standard equation
- Find the standard equation of an ellipse given by its elements
- OVERVIEW of lessons on ellipses
Also, you have this free of charge online textbook in ALGEBRA-II in this site
ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.