A circle C1 of radius b touches the circ...

A circle `C_1` of radius b touches the circle `x^2 + y^2 =a^2` externally and has its centre on the positiveX-axis; another circle `C_2` of radius c touches the circle `C_1`, externally and has its centre on the positive x-axis. Given `a lt b lt c` then three circles have a common tangent if a,b,c are in

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