Question

where will be the center of a circle passing through three non- collinear points and why ?​

Answer 1

Answer:

Hence, the point O is equidistant from A,B and C. Now since the right bisector of AB and BC are non-parallel lines, therefore they have only one point in common. So, O is the only point equidistant from A,B and C. Hence, the required locus is the centre of the circle through the given non-collinear points.