Consider 8 vertices of a regular octagon and its centre. If T denotes the number of triangles and S denotes the number of straight lines that can be formed with these 9 points then the val of (T - S) =

There 12 points in a plane of which 5 are collinear . Find the number of triangles that can be formed with vertices at these points.

Write the maximum number of points of intersection of 8 straight lines in a plane.

The greatest possible number of points of intersection of 8 straight lines and 4 circles is:

If Delta denotes the area of any triangle and s its semiperimeter, prove that Delta is less than S^2/4

Let N denotes,the greatest number of points in which m straight lines and n circles intersect. Then,

Three are 12 points in a plane, no of three of which are in the same straight line, except 5 points whoich are collinear. Find (i) the numbers of lines obtained from the pairs of these points. (ii) the numbers of triangles that can be formed with vertices as these points.

Find the number of triangles which can be formed having vertices at angular points of a convex polygon of m sides.

The maximum possible number of points of intersection of 8 straight lines and 4 circles is

If 7 points out of 12 are in the same straight line, then the number of triangles formed is

If 7 points out of 12 are in the same straight line, then the number of triangles formed is