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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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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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In these two circles, no point is common.
Here, only one point “P” is common.
Even here, P is the common point.
Here, two points are common which are P and Q.
No point is common in the above circle.
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