find the equation of the ellipse in the following cases:

eccentricity and foci (± 2, 0)

Given that we need to find the equation of the ellipse whose eccentricity is and foci (±2,0).


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



We know that eccentricity(e) =






We know that foci = (±ae,0)


ae = 2



a = 4


a2 = 16



b2 = 12


The equation of the ellipse is




3x2 + 4y2 = 48


The equation of the ellipse is 3x2 + 4y2 = 48.


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