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 coordinates. To determine the position of a point in a plane we draw two mutually perpendicular straight lines XOX’ and YOY’.
XOX’ is called the xaxis which is a horizontal line.
YOY’ is called the yaxis which is a vertical line.
Point O is called the origin.
Ordered pair:
Whenever we write the coordinates of a point, first we write the x coordinate, and then we write the ycoordinate. Suppose a and b is a pair of two numbers which is listed in a specific order then the coordinates (a, b) are called the ordered pair.
Thus, in (a, b) we notice a is at the first place so it is known as x coordinate and b at the second place so it is known as y coordinate.
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 coordinate is 3 and y coordinate is 5
But in an ordered pair (5, 3) x coordinate is 5 and y coordinate is 3
So, we observe that (3, 5) and (5, 3) represent different points.
2. In an ordered pair (7, 2) x coordinate is 7 and y coordinate is 2
But in an ordered pair (2, 7) x coordinate is 2 and y coordinate is 7
So, we observe that (7, 2) and (2, 7) represent different points.
Note:
The coordinate of the origin are (0, 0) i.e., its x coordinate is 0 and its y coordinate is also 0.
Related Concepts:
● Find the Coordinates of a Point
● Coordinates of a Point in a Plane
● Plot Points on Coordinate Graph
● Simultaneous Equations Graphically
● 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
7th Grade Math Problems
8th Grade Math Practice
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