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what is the maximum number of common points?

Answer :

Different pairs of circles are as follows:

i) No points in common (externally) | (ii) One point in common (internally) |
---|---|

iii) No points in common (internally) | iv) One point in common (externally) |

v) Two points in common | |

From figures, it is obvious that these pairs many have 0 or 1 or 2 points in common.

Hence, a pair of circles cannot intersect each other at more than two points.

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