What is the maximum and minimum no. of points of intersection of three lines in a plane? Also draw figures to justify your answers.
The minimum number of points of intersection of three lines in a plane is 1 as shown in the figure below:
Here, the point of intersection of the lines l, m and n is O.
The maximum number of points of intersection of three lines in a plane is 3 as shown in the figure below:
Here, the points of intersection of the lines l, m and n are A, B and C.
Here, the point of intersection of the lines l, m and n is O.
The maximum number of points of intersection of three lines in a plane is 3 as shown in the figure below:
Here, the points of intersection of the lines l, m and n are A, B and C.