if three points are collinear , how many circles can be drawn through these points? Now, try to draw a circle passing through these three points.

How many chords can be drawn through 21 points on a circle?

There are 10 points in a plane of which no three points are collinear and four points are concyclic. The number of different circles that can be drawn through at least three points of these points is

There are five points A,B,C,D and E. no three points are collinear and no four are concyclic. If the line AB intersects of the circles drawn through the five points. The number of points of intersection on the line apart from A and B is

The circle passing through the point (-1,0) and touching the y-axis at (0, 2) also passes through the point:

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre .

A straight line passing through a point on a circle is

The equation of the smalltst circle passing through the points (2,2) and (3,3) is

The equation of the smallest circle passing through the points (2,2) and (3,3) is