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

      example of Cartesian_Coordinates
    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?

    example of Cartesian Coordinates
    A. (3, 4)
    B. (1, 1)
    C. (2, 6)
    D. (2, 5)
    Correct Answer: D


    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).

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