Question 12
B6 (FIN 3). Four distinct circles $C,C_1,C_2,C_3$ and a line $L$ are given in the plane such that $C$ and $L$ are disjoint and each of the circles $C_1,C_2,C_3$ touches the other two, as well as $C$ and $L$. Assuming the radius of $C$ to be 1, determine the distance between its center and $L$.