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in Circles by (65.5k points)

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

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(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.

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