Question

prove that any three points on circle cannot be colinear​

Answer 1

We know that the perpendicular bisector of the chord of a circle passing through its centre. So, the perpendicular bisectors of the chords AB and BC must intersect at the centre of the circle. ... Thus, any three points on a circle cannot be collinear.

Answer 2

Step-by-step explanation:

Draw a circle of any radius & take any 3 points A,B,C

Draw perpendicular bisectors of AB & BC

Perpendicular from the centre bisects the chord.

Hence, centre lies on both the perpendicular bisectors.

The point at whicj they intersect is the centre of the circle.

The perpendiculars of line segments drawn by joining the collinear points is always parallel whereas in a circle any three points perpendicular bisector will always intersect at the centre.

Hence, any 3 points on the circle cannot be collinear.