How Many Intersection Points Can Two Circles Have?

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hkus10
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Let C1 and C2 be circles in the plane. Describe the number of possible points of intersection of C1 and C2.

It is 4?
 

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I don't think I can draw two circles with 4 points of intersection... can you?

Also there are multiple possbilities, there might be 0 for example (just draw one in London and one in Tokyo)
 

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