The eccentricity of the ellipse 4x2 + 9y2 + 8x + 36y + 4 = 0 is

Given that we need to find the eccentricity of the ellipse 4x2 + 9y2 + 8x + 36y + 4 = 0.



4x2 + 9y2 + 8x + 36y + 4 = 0


4(x2 + 2x + 1) + 9(y2 + 4y + 4) - 36 = 0


4(x + 1)2 + 9(y + 2)2 = 36




Comparing with the standard form


Here a2>b2


eccentricity(e) =





The correct option is D

11