SOLUTION: the focal length of an ellipse is 4 and the distance from a point on the ellipse is 2 and 6 units from each foci respectively. calculate the equation of the ellipse if it is center

Question 722461: the focal length of an ellipse is 4 and the distance from a point on the ellipse is 2 and 6 units from each foci respectively. calculate the equation of the ellipse if it is centered at (0,0)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
the focal length of an ellipse is 4 and the distance from a point on the ellipse is 2 and 6 units from each foci respectively. calculate the equation of the ellipse if it is centered at (0,0)
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I will assume given ellipse has a horizontal major axis.
Standard form of an equation for an ellipse with horizontal major axis:
, a>b, (h,k)=(x,y) coordinates of center
center: (0,0)
2a=2+6=8
a=4
a^2=16
c=2
c^2=4
c^2=a^2-b^2
b^2=a^2-c^2=16-4=12
Equation:

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