Question 689855: Find the equation of the ellipse with the given conditions.
Center (1,1), vertex (1,3), passing through (0,0).
I need your help.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the equation of the ellipse with the given conditions.
Center (1,1), vertex (1,3), passing through (0,0).
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This is an ellipse with vertical major axis.
Its standard form of equation: , a>b, (h,k)=(x,y) coordinates of center
For given ellipse:
center: (1,1)
length of major axis=4=2a
a=2
a^2=4
plug in coordinates of given point on ellipse: (0,0)
(x-1)^2/b^2+(y-1)^2/4=1
(0-1)^2/b^2+(0-1)^2/4=1
1/b^2+1/4=1
1/b^2=3/4
b^2=4/3
Equation of given ellipse:
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