Question 1168920: Find the equation of the ellipse if the endpoints of minor axis are (1,3) and (1,-1) with a focus at (-1,1).Express your answer in general form.
Answer by MathLover1(20850)   (Show Source):
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The equation of an ellipse can be given as,
where
' ' represents the semi-major axis (half of the length of the major axis)
' ' represents the semi-minor axis (half of the length of the minor axis)
‘ ’ represents the  coordinate of the center
‘ ’ represents the  coordinate of the center
if the endpoints of minor axis are ( , ) and (, ) , minor axis length is equal to the distance between them which is 
half of the length of the minor axis is 
=> the center mast be half way between endpoints, and it is at (,)
a focus at (,)
the distance between foci (,) and center (,)
focus is  units from the center, so 
using the Pythagorean fact of all ellipses
so, your formula is
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