Question 604749: Could you please ....Write an equation of the ellipse with center at (0, 0), vertex at (4, 0), and co-vertex at (0, 2)
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Could you please ....Write an equation of the ellipse with center at (0, 0), vertex at (4, 0), and co-vertex at (0, 2)
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Given ellipse has a horizontal major axis.
Its standard form of equation: (x-h)^2/a^2+(y-k)^2/b^2=1, a>b, (h,k)=(x,y) coordinates of center.
For given ellipse:
center: (0,0)
length of horizontal major axis=8=2a
a=4
a^2=16
..
length of minor axis=4=2b
b=2
b^2=4
..
Equation of given ellipse:
x^2/16+y^2/4=1
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