Question

Draw different pairs of circles. How many points does each pair have in common?
What is the maximum number of common points?
​

Answer 1

Step-by-step explanation:

Please refer to video for the figure of different pair of circles. There can be three possibilities.<br> (i) When two circles are not touching each other, then there is no common point. So, the maximum number of common points in this case, is

.<br><br> (i) When two circles are just touching each other, then there is a single common point. So, the maximum number of common points in this case, is

.<br><br> (i) When two circles are intersecting each other, then there are two common points. So, the maximum number of common points in this case, is

.<br><br>