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.

The end points of a line segment are (2, 3), (4, 5). Find the slope of the line segment.

Find the mid point of the line segment joining the points (3, 0) and (-1, 4)

There are 10 points in a plane, out of these 6 are collinear. The number of triangles formed by joining these points, is

State the number of lines passing through three distinct non-collinear points.

If n lines are drawn in a plane such that no two of them are parallel and no three of them are concurrent, such that these lines divide the planein 67 parts, then find number of different points at which these lines will cut.

If n lines are drawn in a plane such that no two of them are parallel and no three of them are concurrent, such that these lines divide the planein 67 parts, then find number of different points at which these lines will cut.

Out of 18 points in a plane, no three are in the same line except five points which are collinear. Find the number of lines that can be formed joining the point.

Let ngeq2 be integer. Take n distinct points on a circle and join each pair of points by a line segment. Color the line segment joining every pair of adjacent points by blue and the rest by red. If the number of red and blue line segments are equal, then the value of n is

The number of line/s passing through three collinear points is ........ .

Line segment joining the centre to any point on the circle is a radius of the circle