In this article explained about defections of point in geometry math, Collinear Points, Non-collinear points with examples.

Contents

## Point in Math | Collinear Points | Non-collinear points | All Math Tricks

The terms *Point, Line, Plane and space* .. etc are fundamental concepts in study of **geometry** and they

### Definition of Point in Math:

**A point** is that which has no part. It has only one position. It does not have dimensions like *length, breadth or height*

Consider the step from points to solid

**Point – Line – Surface – Solids**

In the above figures, the first figure is **Point**. It has no dimension. If it further add one dimension length then it will be **line segment** *(Line*). If further add one more dimension breadth then it will have two dimension which is **rectangle**(*Surface*) . Now add one more dimension height then it has three dimension which is **cuboid** (*Solid*).

**Collinear Points & non-collinear points:**

*Collinear points :* Three or more points lying on the same line are called** collinear points**.

*N**on-collinear points*** : **Three or more points are not lying on the same line are called **non-collinear points.**

**Examples**

Let us considered three points **P, Q** and **R** in a plane. If we draw a line ” *l* “ passing through two points **P & Q ,** then there are two possibilities

a) Point R lies on the line “* l *“

b) Point R does not lie on the line “* l *“

If a point R lies on the line “* l *“ then points **P , Q & R** lie on the same line and are said to be* collinear points.*

If a point** R** does not lie on the line “* l *“ , then points **P, Q** and **R** do not lie on the same line and are said to be *non- collinear points.*

### Lines through non- collinear points

*Examples of non-collinear points*

Let consider **P, Q and R** are non- collinear points then

Number of lines through** P, Q** and **R** non-collinear points = 3 ( , , )

Let consider **P, Q, R & S** are non- collinear points then

Number of lines through **P, Q , R & S** non-collinear points = 6 ( , , , , , )

Number of lines through “n” non-collinear points =

**Related Topics**

Two dimensional shapes formulas.

Quadrilateral Properties | Trapezium, parallelogram, Rhombus

Types of Triangles With examples | Properties of Triangle

Properties of circle in math | Arc, Perimeter, Segment of circle

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