AMC 12A 2015 Problem 11

On a sheet of paper, Isabella draws a circle of radius 2 , a circle of radius 3 , and all possible lines simultaneously tangent to both circles. Isabella notices that she has drawn exactly k \geq 0 lines. How many different values of k are possible?

Answer Choices
A. 2
B. 3
C. 4
D. 5
E. 6