Cartesian Coordinates
Definition Of Cartesian Coordinates
Cartesian Coordinate System consists of two axes, X and Y, which intersect each other at a point called `origin`, and is used to define the position of any point by using ordered pairs.
More About Cartesian Coordinates
In two-dimensional coordinate system, the reference of a point is given by using two coordinates, X and Y.
In three-dimensional coordinate system, the reference of a point is given by using three coordinates, X, Y, and Z.
Video Examples: Math - Cartesian Coordinate System
Example of Carroll Diagram
Four points are marked on the Cartesian coordinate system: (3, 2) in blue, (- 2, 3) in red, (- 1, - 2) in brown, and (2, - 3) in green
Solved Example on Carroll Diagram
Ques: Which of the given coordinates represents the point marked on the coordinate plane?
Choices:
A. (3, 4)
B. (1, 1)
C. (2, 6)
D. (2, 5)
Correct Answer: D
Solution:
Step 1: The point is 2 units to the right of the Y-axis.
Step 2: So, the X-coordinate is 2.
Step 3: The point is 5 units above the X-axis.
Step 4: So, the Y-coordinate is 5.
Step 5: The coordinates of the point marked on the coordinate plane are (2, 5).