(1) Circles which do not intersect each other :
There is no common point for these circles.
(2) Circles which touch externally :
For these pairs of circles, there is only one common point ‘x’.
(3) Circles which touch internally :
These pair of circles touch internally.
These have common end point ‘P’.
(4) Intersecting Circles :
For these pair of circles, M and N are two common points.
If we observe such circles we conclude that only two points are there.