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Three equal circles each of radius r tou...

Three equal circles each of radius `r` touch one another. The radius of the circle touching all the three given circles internally is (a)`(2+sqrt(3))r` (b) `((2+sqrt(3)))/(sqrt(3))r` (c)`((2-sqrt(3)))/(sqrt(3))r` (d) `(2-sqrt(3))r`

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