Question 524277: Write an equation of the ellipse with foci (0,+2)|(0,-2) and co-vertices at (+1,0)|(-1,0)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write an equation of the ellipse with foci (0,+2)|(0,-2) and co-vertices at (+1,0)|(-1,0)
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Given equation is that of an ellipse with vertical major axis of the standard form:
(x-h)^2/b^2+(y-k)^2/a^2=1, with (h,k) being the (x,y) coordinates or the center.
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For given equation:
Center: (0,0)
Co-vertices or minor axis=2=2b
b=1
b^2=1
c=2
c^2=4
c^2=a^2-b^2
a^2=c^2+b^2=4+1=5
a=√5≈2.24
Equation:
(x-0)^2/1+(y-0)^2/5=1
x^2+y^2/5=1
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