Prove that ✌two different circles ⭕ …
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Posted by Muskan Singh 3 years, 10 months ago
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Gaurav Seth 3 years, 10 months ago
Let us consider that 2 distinct circles intersect at more than 2 points.
∴These points are non-collinear points.
As 3 non-collinear points determine one and only one circle
∴There should be only one circle.
(i.e. those circles are supposed to superimpose each other)
But, the superimposition of 2 circles of different radii is impossible, i.e. concentric circles would be derived instead.
This contradicts our assumption. Therefore, our assumption is wrong.
Hence, 2 circles cannot intersect each other at more than 2 points.
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