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The eccentricity of an ellipse is (1)/(...

The eccentricity of an ellipse is `(1)/(sqrt(3))`, the coordinates of focus is (-2,1) and the point of intersection of the major axis and the directrix is (-2,3) . Find the coordinates of the centre of the ellipse and also equation of the ellipse .

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The correct Answer is:
`3x^(2) + 2y^(2) + 12 x + 6 = 0 `
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