Definition of Cartesian Plane
A Cartesian Plane is a plane consisting of a set of two lines intersecting each other at right angles. The horizontal line is the X-axis and the vertical one is the Y-axis, and the point of their intersection is called the origin with the coordinates (0, 0).
More About Cartesian Plane
- The location of any point on the coordinate plane is denoted by using pair of coordinates (X, Y), where X is the horizontal distance from the origin and Y is the vertical distance from the origin.
- The X and Y-axis on the coordinate plane is always perpendicular to each other.
Video Examples: Math Tutorial - Cartesian Plane
Example of Carroll Diagram
The location of point P is (4, 3), as the point P is placed 4 units (away from the origin) horizontally and 3 units (away from the origin) vertically.
Solved Example on Carroll Diagram
Ques: Identify the coordinates of the point C on the graph.
A. (- 5, 1)
B. (5, - 1)
C. (- 1, - 5)
D. (- 5, - 1)
Correct Answer: D
Step 1: Start at the origin.
Step 2: The point C is 5 units to the left from the Y-axis.
Step 3: So, the X-coordinate of point C is - 5.
Step 4: Point C is 1 unit below the X-axis.
Step 5: So, the Y-coordinate of point C is - 1.
Step 6: The coordinates of the point C are (- 5, - 1).