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[" An ellipse has eccentricity "(1)/(2)" and one focus at the point "P((1)/(2),1)" .Its one directrix is the common tangent,"],[" nearer to the point "P" to the circle "x^(2)+y^(2)=1" and the hyperbola "x^(2)-y^(2)=1." The equation of the ellipse in "],[" standard form is: "]

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