Question

Prove that any three points of circle cannot be collinear

Answer 1

Let us assume 3 points lie in collinear and it is a circle. Then the area of circle= (pi)×r^2

Here r is varying because from point 1 to 2 one distance and from point 1 to 3 one distance,we know that radius will be same in a circle due to which the collinear line cannot form a circle