unique circle which passes through three given points
We can clearly see the red graph. It is that of a circle which passes through three points A, B, and C. We can change the positions of the three points (A, B and C). The size and location of the circles depends upon the positions of these three points. When we move any of the three points A, B and C we will see that the sizes and positions of the circles will get altered.
Questions to think about 1. Let us think how many circles can be drawn which pass through points A , B and C? 2. Is it possible to draw more than one circle which passes through these given points?