Prove that ✌two different circles ⭕ cannot intersect each other at more than two 2⃣ points.

Prove that ✌two different circles ⭕ cannot intersect each other at

1.	Prove that ✌two different circles ⭕ cannot intersect each other at more than two 2⃣ points.
Answer» 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.