Prove that two different circles cannot intersect each other at more t

1.	Prove that two different circles cannot intersect each other at more than two points.
Answer» Consider two different circles intersecting at three point A, B and C We know that these points are non collinear and a unique circle can be drawn using these points This shows that our assumption is wrong Therefore, it is proved that two different circles cannot intersect each other at more than two points.

Prove that two different circles cannot intersect each other at more than two points.

Answer»

Consider two different circles intersecting at three point A, B and C

We know that these points are non collinear and a unique circle can be drawn using these points

This shows that our assumption is wrong

Therefore, it is proved that two different circles cannot intersect each other at more than two points.

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Prove that two different circles cannot intersect each other at more than two points.

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