The first circle has the center C(-100 , -20) and . The x-axis is tangent to this circle.

The second circle has the center C(100 , -10) and . The x-axis is tangent to this circle.

Make a rough sketch of the situation. (see attachment. My sketch is not drawn to scale because the distance between the centers of the circles is too large - and the greater circle belongs to the left side)

You have 2 unknowns: x and . Use the 2 right triangles to set up a system of equations:

You'll gettwosolutions:

1. A small circle with it's center at and

2. A huge circle which touches the 2 circles from below and the tangent point to the straight line is very far away at the right. (I'll only give you the approximate values):

M(603.4280150, -6033.780150) and r = 6034.780150

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