When you draw the x-axis, y-axis on a coordinate graph quadrants is formed. In every two dimensional graph, we will get 4 quadrants. In this page, we are discussing the All Four Quadrants concept. It is one of the important topics in coordinate geometry. This article is very useful for students who are preparing for their exams.
We giving the complete details regarding quadrants, its definition, signs of coordinates on each quadrant, and its examples in the following sections. Have a look at them and know about quadrant 1, quadrant 2, quadrant 3, and quadrant 4.
Quadrant Definition
Take a graph and draw two perpendicular lines horizontal line (x-axis), vertical line (y-axis). These two axes divide the plane into 4 equal parts. Each part is called a quadrant. Those two perpendicular lines meet at a point called the origin. By convention, quadrants are named in an anticlockwise direction. The names of all four quadrants are quadrant I, quadrant II, quadrant III, quadrant IV. All these quadrants are differentiated by the sign of coordinates of the points.
Signs of Quadrants on the x-axis, y-axis
Depending upon the sign of coordinates, quadrants are divided into 4 types. You have to know the signs of abscissa and ordinate of an ordered pair to check under which quadrant the point lies in.
Quadrant I: In the first quadrant, both coordinates are positive values. The region is XOY.
Quadrant II: In this quadrant, the x value is negative and the y value is positive. The region of X’OY.
Quadrant III: In this quadrant, both x and y coordinates are negative. The region is X’OY’.
Quadrant IV: In the fourth quadrant, the x coordinate is positive and the y coordinate is negative. the region is XOY’.
Example Coordinates of Each Quadrant
- Point P (8, 5) lies in the first quadrant.
- Point Q (-8 5) lies in the second quadrant.
- Point R (-8, -5) lies in the third quadrant.
- Point S(8, -5) lies in the fourth quadrant.
The below-listed points does not lie in any of the quadrants. They lie on the x-axis, y-axis.
A (0, 5), B (-5, 0), C (0, -5), D (5 0), etc of this type.