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[" The area of triangle formed by "],[" common tangents of the circles "],[x^(2)+y^(2)+2x=0" and "],[x^(2)+y^(2)-6x=0" is "]

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Find the area of the triangle formed by the common tangents to the circles x^(2)+y^(2)+2x=0 and x^(2)+y^(2)-6x=0

The equation of an ex - circle of a triangle formed by the common tangents to the circle x^(2)+y^(2)=4 and x^(2)+y^(2)-6x+8=0 is

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