{ Find the equation of the circle passing through the intersection of the circles }x^2+y^2=4 and }}{x^2+y^2-2x-4y+4=0 and touching the line }x+2y=0 .

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Q. The equation of the circle passing through points of intersection of the circle

x^{2} + y^{2} - 2 x - 4 y + 4 = 0

and the line

x + 2 y = 4

and touches the line

x + 2 y = 0

, is

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and the line

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The equation of the circle through the points of intersection of $x^{2} + y^{2} - 1 = 0, x^{2} + y^{2} - 2 x - 4 y + 1 = 0$ and touching the line x + 2y = 0, is

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