1. The number of points on the circle $(x-3)^{2}+(y-3)^{2}=9$ that are 1 unit away from the line $3 x+4 y-11=0$ is
A. 1
B. 2
C. 3
D. 4
1. C Hint: It is evident that the circle $(x-3)^{2}+(y-3)^{2}=9$ intersects with the line $3 x+4 y-11=0$. The distance from the center of the circle to the line $d=2$, and the radius of the circle $r=3$. Since the radius $r=$ distance from the center to the line +1. Therefore, there are 3 such points.