A circle can pass througha)2 collinear pointsb)3 collinear pointsc)4 c...
The answer can be 2 collinear points as well. We have three collinear points. Join one point to the other two points and then draw the perpendicular bisector for both the lines
Join the perpendicular bisectors. The point is the centre of the circle. And a circle can be formed then. Also two points can form a circle as the two points joines becomes a diameter.
Option D : The number of circles which can pass through three given non-collinear points is exactly one.
So, A is the correct Option
A circle can pass througha)2 collinear pointsb)3 collinear pointsc)4 c...
The correct answer is 3 collinear points,
see, consider A,B and C are three collinear points.It can be seen that if three points are collinear any one of the points either lie outside the circle or inside it. Therefore, a circle passing through 3 points, where the points are collinear is not possible