e-Notes-4


System of the Circles
• Two Circles Touching each Other:
When two circles touch each other externally
When two circles touch each other internally
Common Tangents to Two Circles
• When both the circles are non-intersecting and one lies outside the other
• When two circles intersect at two real and distinct points
• When both the circles touch each other externally
• When two circles touch each other internally
• When i.e., the distance between the centres is less than the difference of the radii.
• Synopsis of the cases