AHSME 1996 Problem 18

A circle of radius $2$ has center at $(2,0)$. A circle of radius $1$ has center at $(5,0)$. A line is tangent to the two circles at points in the first quadrant. Which of the following is closest to the $y$-intercept of the line? $\text{(A)}\ \sqrt{2}/4 \text{(B)}\ 8/3 \text{(C)}\ 1+\sqrt 3 \text{(D)}\ 2\sqrt 2 \text{(E)}\ 3$