Prove that any three points on a circle cannot be collinear.

There are 10 points in a plane and 3 of them are collinear. The number of straight line joining any two points is ……….. .

There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is

Fill in the blanks Prove that the tangents to a circle at the end points of a diameter are parallel.

Prove that a line cannot intersect a circle at more two points .

There are 10 points on a plane of which 5 points are collinear. Also, no three of the remaining 5 points are collinear. Then find (i) the number of straight lines joining these points: (ii) the number of triangles, formed by joining these points.

Some points are plotted on a plane such that any three of them are non collinear. Each point is joined with all remaining points by line segments. Find the number of points if the number of line segments are 10.

There are 8 points in a plane, no three of them are collinear .The number of triangles that can be formed is:

There are 10 points in a plane no three of which are collinear except 4 of them which lie on a line. The number of straight lines determined by them is