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 $2, 5$.

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