find the equation of the ellipse in the following cases:

Length of minor axis 16 foci (0, ± 6)

Given that we need to find the equation of the ellipse whose length of the minor axis is 16 and foci (0,±6).


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



We know that the length of the minor axis of the ellipse is 2a,


2a = 16


a = 8


a2 = 64


We know that foci = (0,±be)


be = 6


We know that eccentricity



36 = b2 - 64


b2 = 100


The equation of the ellipse is



The equation of the ellipse is .


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