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A variable tangent to the circle x^(2)+y...

A variable tangent to the circle `x^(2)+y^(2)=1` intersects the ellipse `(x^(2))/(4)+(y^(2))/(2)=1` at point P and Q. The lous of the point of the intersection of tangents to the ellipse at P and Q is another ellipse. Then find its eccentricity.

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