Question

The number of circles which can pass through three non-collinear points is :

• A. One
• B. Two
• C. Many
• D. None

Answer 1

Answer: (A)

One

The number of circles which can pass through three given non-collinear points is exactly one. This is a fact and can be verified by constructing perpendicular bisectors of segments joining these points. These bisectors intersect at a unique point which is the center of the circle and the distance of any point from the center is the radius. So given three non collinear points fixes the center and the radius thereby giving us a unique circle.

So option A is the right answer.