find the equation of the ellipse in the following cases:

Ends of the major axis (± 3, 0), and of the minor axis (0, ±2)

Given that we need to find the equation of the ellipse whose ends of the major axis is (±3,0) and ends of the minor axis is (0,±2).


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



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


a = 3


a2 = 9


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


b = 2


b2 = 4


The equation of the ellipse is




4x2 + 9y2 = 36


The equation of the ellipse is 4x2 + 9y2 = 36.


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