find the equation of the ellipse in the following cases:

Ends of the major axis (0, ± ), ends of the minor axis (±1,0)

Given that we need to find the equation of the ellipse whose ends of major axis are and ends of the minor axis are (±1,0).


Let us assume the equation of the ellipse as (b2>a2).



We know that ends of the major axis of the ellipse are (0,±b)



b2 = 5


We know that ends of the minor axis of the ellipse are (±a,0)


a = 1


a2 = 1


The equation of the ellipse is




5x2 + y2 = 5


The equation of the ellipse is 5x2 + y2 = 5.


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