Ordered pair of a Coordinate System

To know the ordered pair of a coordinate system let us recall the coordinate system.

We represent a point in a plane by ordered pairs of real numbers called the Cartesian co-ordinates.  To determine the position of a point in a plane we draw two mutually perpendicular straight lines XOX’ and YOY’.

XOX’ is called the x-axis which is a horizontal line.

YOY’ is called the y-axis which is a vertical line.

Point O is called the origin.


Ordered pair: 

Whenever we write the co-ordinates of a point, first we write the x- co-ordinate, and then we write the y-co-ordinate. Suppose a and b is a pair of two numbers which is listed in a specific order then the co-ordinates (a, b) are called the ordered pair.

Ordered pair of a Coordinate System

Thus, in (a, b) we notice a is at the first place so it is known as x- co-ordinate and b at the second place so it is known as y- co-ordinate. 

In an order pair, if the order of the numbers is changed then it represents a different point,

Hence, (a, b) ≠ (b, a)

Thus, (5, 4) ≠ (4, 5) 


Examples of ordered pair of a coordinate system:

1. In an ordered pair (3, 5): x co-ordinate is 3 and y co-ordinate is 5

But in an ordered pair (5, 3) x co-ordinate is 5 and y co-ordinate is 3

So, we observe that (3, 5) and (5, 3) represent different points.

2. In an ordered pair (7, 2) x co-ordinate is 7 and y co-ordinate is 2

But in an ordered pair (2, 7) x co-ordinate is 2 and y co-ordinate is 7

So, we observe that (7, 2) and (2, 7) represent different points.

Note:

The co-ordinate of the origin are (0, 0) i.e., its x co-ordinate is 0 and its y co-ordinate is also 0.



Related Concepts:

Coordinate Graph

Plot Ordered Pairs

Coordinates of a Point

All Four Quadrants

Signs of Coordinates

Find the Coordinates of a Point

Coordinates of a Point in a Plane

Plot Points on Co-ordinate Graph

Graph of Linear Equation

Simultaneous Equations Graphically

Graphs of Simple Function

Graph of Perimeter vs. Length of the Side of a Square

Graph of Area vs. Side of a Square

Graph of Simple Interest vs. Number of Years

Graph of Distance vs. Time





7th Grade Math Problems

8th Grade Math Practice

From Ordered pair of a Coordinate System to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Worksheet on Triangle | Homework on Triangle | Different types|Answers

    Jun 21, 24 02:19 AM

    Find the Number of Triangles
    In the worksheet on triangle we will solve 12 different types of questions. 1. Take three non - collinear points L, M, N. Join LM, MN and NL. What figure do you get? Name: (a)The side opposite to ∠L…

    Read More

  2. Worksheet on Circle |Homework on Circle |Questions on Circle |Problems

    Jun 21, 24 01:59 AM

    Circle
    In worksheet on circle we will solve 10 different types of question in circle. 1. The following figure shows a circle with centre O and some line segments drawn in it. Classify the line segments as ra…

    Read More

  3. Circle Math | Parts of a Circle | Terms Related to the Circle | Symbol

    Jun 21, 24 01:30 AM

    Circle using a Compass
    In circle math the terms related to the circle are discussed here. A circle is such a closed curve whose every point is equidistant from a fixed point called its centre. The symbol of circle is O. We…

    Read More

  4. Circle | Interior and Exterior of a Circle | Radius|Problems on Circle

    Jun 21, 24 01:00 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More

  5. Quadrilateral Worksheet |Different Types of Questions in Quadrilateral

    Jun 19, 24 09:49 AM

    In math practice test on quadrilateral worksheet we will practice different types of questions in quadrilateral. Students can practice the questions of quadrilateral worksheet before the examinations

    Read More