Question

1.
Draw different pairs of circles. How many points does each pair have in common
What is the maximum number of common points​

Answer 1

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Answer 2

Answer:

As we can see from the figure, that two circles have two points in common.

• Two circles cannot intersect each other at more than two points.
• Let us assume that two circles cut each other at three points.
• But we already know that through three points only one circle can pass.
• So, two circles if intersect each other will intersect at maximum two points.

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