Question 755682: What is the equation of an ellipse with foci (0,3) (0,-3) and co vertices (10,0) (-10,0)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! What is the equation of an ellipse with foci (0,3) (0,-3) and co vertices (10,0) (-10,0)
Given ellipse has a vertical major axis.
Its standard form of equation:  , a>b, (h,k)=(x,y) coordinates of center.
For given ellipse:
center: (0,0)
c=3 (distance from center to foci)
c^2=9
b=10 (distance from center to end points)
b^2=100
c^2=a^2-b^2
a^2=c^2+b^2=9+100=109
Equation of given ellipse:
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