Question

With the help of a figure,find the maximum and the minimum number of points of intersection of three lines in a plane.​

Answer 1

Step-by-step explanation:

Minimum number of point of intersection of three lines on a plene is zero when all the three lines are parallel to each other. Maximum number of point of intersection of three lines on a plene is three.

Answer 2

Answer:

0 and 3

Explain:

when the three lines are parallel to each other

none of them will intersect and so there will be no point of intersection of these lines.

see the attachment, lines 'l', 'm' and 'n' are parallel to each other.

when the three lines forms a triangle, then there will be 3 points of intersection, which are the vertices of triangle.

see the attachment, lines 'l', 'm' and 'n' intersect to form triangle ABC, where A,B and C are vertices and points of intersection.

so, minimum number of point of intersection of three lines on a plane is 0 and maximum is 3.