Finding the equation of a circle given three tangent line equations

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How do you find the equation of a circle given three tangent line equations?

Given :

4x + 2y = 8

4x + 2y = 4

and

2x - 4y = -10

thankyou!

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Hint: The first two lines are parallel to each other, which should enable you to compute the diameter/radius of the circle. The third line is perpendicular to the first two lines. Draw a picture.