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
    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).

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