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The eccentricity of an ellipse is (2)/(3...

The eccentricity of an ellipse is `(2)/(3)` focus is S(5,4) and the major axis and directrix intersect at Z(8,7) . Find the coordinates of the centre of the ellipse .

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The correct Answer is:
`(((31)/(5)-1)/(2),((26)/(5)-2)/(2))=((3)/(5),(8)/(5))`
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