If the circle $x^2 + (y+2)^2 = r^2$ $(r > 0)$ has exactly $2$ points at distance $1$ from the line $y = \sqrt{3}x + 2$, then the range of $r$ is A. $(0,1)$ B. $(1,3)$ C. $(3, +\infty)$ D. $(0, +\infty)$
If the circle $x^2 + (y+2)^2 = r^2$ $(r > 0)$ has exactly $2$ points at distance $1$ from the line $y = \sqrt{3}x + 2$, then the range of $r$ is
A. $(0,1)$\\
B. $(1,3)$\\
C. $(3, +\infty)$\\
D. $(0, +\infty)$