Question
Prove that two different circles cannot intersect each other at more than two points.
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Text solutionVerified
Consider two different circles intersecting at three point and
We know that these point s 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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Question Text | Prove that two different circles cannot intersect each other at more than two points. |
Answer Type | Text solution:1 |
Upvotes | 150 |