Two different circle can't interact each other at more than two points so prove it
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It is true that 2 different circles cannot intersect with each other at more than 2 different points.
Although the radii and the distance of the circles would matter, the most important factor is the non-collinear points.
It is known that a unique circle is determined by the presence of 3 non-collinear points. Therefore, 2 circles can intersect at only 2 points.
The construction of perpendicular bisectors that intersect the segments of the points will be at the circle's center.
Although the radii and the distance of the circles would matter, the most important factor is the non-collinear points.
It is known that a unique circle is determined by the presence of 3 non-collinear points. Therefore, 2 circles can intersect at only 2 points.
The construction of perpendicular bisectors that intersect the segments of the points will be at the circle's center.
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