Question

Through three collinear points a circle can be drawn. Write True or False and justify your answer in each of the following:

• A. True
• B. False

Answer 1

The correct option is B False

Collinear points :

Collinear points are the points that lie on the same straight line or in a single line.

A circle through two points can not pass through a point that is collinear to these two points. The three collinear points lie on the same straight line, thus making it impossible to draw a circle through them.

To draw a circle through the three points, the points need to be non-collinear that is they must not lie on a same straight line.

Hence,the given statement is false.