Question

prove that two different circles can't intesect each other at more than two point​

Answer 1

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Let us consider that 2 distinct circles intersect at more than 2 points. ∴These points are non-collinear points. ∴There should be only one circle. ... Hence, 2 circles cannot intersect each other at more than 2 points

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Answer 2

Let there be two circles which intersect at three points say at A, B and C Clearly A, B and C are not collinear We know that through three non-collinear points A, B and C one and only one circle can pass Therefore there cannot be two circles passing through A, B and C In other words the two circles cannot intersect at more than two points

Step-by-step explanation:

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