NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - True or False Questions

Question 36

Think of two lines, say \(l\) and \(m\).

We say they are parallel when:

\(l \parallel m\)

This means:

• They are in the same plane.
• They do not cut each other.
• They stay the same distance apart everywhere.

By definition of parallel lines:

\(\text{Parallel lines never meet.}\)

Suppose they meet at a point \(P\).

Then \(P\) lies on both \(l\) and \(m\).

This would mean \(l\) and \(m\) intersect.

But intersecting lines are not parallel.

This is a contradiction.

So, the statement “Two parallel lines meet each other at some point” is false.