## What is Intersecting Lines and Non Intersecting Lines: Introduction

## FAQs on Difference Between Intersecting Lines and Non Intersecting Lines for JEE Main 2024

1. Can non intersecting lines form right angles?

No, non intersecting lines cannot form right angles. Right angles are formed when two lines intersect and the angle between them measures exactly 90 degrees. Non intersecting lines, by definition, do not cross or share a common point. Therefore, they cannot form an angle, including a right angle, as there is no intersection point to define the angle. Right angles are only possible when lines intersect, either directly or indirectly through their extensions. Non intersecting lines can, however, be parallel or skew, but they do not create right angles.

2. Are intersecting lines collinear at their point of intersection?

No, intersecting lines are not collinear at their point of intersection. Collinear points are points that lie on the same line. In the case of intersecting lines, the point of intersection is the only point that both lines have in common. The lines themselves are not collinear because they do not lie on the same line. Intersecting lines can cross each other at any angle, and their point of intersection is a distinct point where the lines meet, but they are not collinear along with the lines themselves.

3. Can non-intersecting lines ever intersect in a three-dimensional space?

No, non intersecting lines cannot intersect in a three-dimensional space. Non intersecting lines are lines that do not cross or share a common point. In three-dimensional space, two lines can either be parallel or skew. Parallel lines never intersect and remain equidistant from each other at all points. Skew lines, on the other hand, do not lie in the same plane and therefore do not intersect. Regardless of the dimension, non intersecting lines maintain their separation and do not cross paths.

4. Can three or more lines intersect at a single point?

Yes, three or more lines can intersect at a single point. When multiple lines intersect at one common point, they are said to be concurrent. The point of intersection is the only point that all the lines have in common. The number of lines that can intersect at a single point is not limited to just two. In geometry, configurations involving three or more lines intersecting at a single point are commonly encountered, such as in the formation of triangles, quadrilaterals, or higher-order polygons.

5. What are non-intersecting lines called?

Non intersecting lines are called parallel lines. Parallel lines are lines in a plane that never intersect, meaning they do not share a common point. They maintain a constant distance from each other and have the same slope. Parallel lines can be visualized as railroad tracks, where they run alongside each other without ever meeting.