Question

with the help of a figure, find the minimum number of points of intersection of three distinct line in plane. what is maximum number?

Answer 1

is three lines are parallel at distinct line in plane show the points of intersection in which 3

Answer 2

Answer:  The answer is zero and three.

Step-by-step explanation: We are to find the minumum and maximum number of points of intersection of three lines in a plane.

When the three lines are parallel to each other, then none of them will intersect and so there will be no point of intersection of these lines.

See the attached figure, lines 'l', 'm' and 'n' are parallel to each other.

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

See the attached figure, Lines 'l', 'm' and 'n' intersect to form triangle ABC, where A, B and C are the vertices and the points of intersection.

Thus, the minimum number of point of intersection of three lines on a plane is zero and maximum number of point of intersection of three lines on a plane is three.