Question

prove if two circles touch each other their points of contact lies on the line joining their centre​

Answer 1

Answer:

Here we will prove that if two circles touch each other, the point of contact lies on the straight line joining their centres.

Case 1: When the two circles touch each other externally.

Case 2: When the two circles touch each other internally at T.

Note: Let two circles with centres O and P touch each other at T.