In this chapter we will learn about the signs of different quadrants in cartesian plane.
Let us first review the basics of quadrants in coordinate geometry.
What are quadrants in cartesian plane ?
The area formed between x and y axis is known as quadrants.
In Cartesian plane, there are four types of quadrant formed.
Given above is the location of all quadrants in cartesian plane.
The lost of all 4 quadrants are;
(i) 1st Quadrant
Located at upper right corner of coordinate plane.
(ii) 2nd quadrant
Located at upper left corner.
(iii) 3rd quadrant
Located at lower left corner.
(iv) 4th quadrant
Located at lower right corner.
Signs of Coordinates
Depending on the polarity of x & y axis, the quadrants have different signs.
Let us discuss sign of each quadrants one by one.
(i) First Quadrant
The first quadrant is formed by positive x and y axis. So the sign of first quadrant is represented as ( + , + ).
This means that sign of both the ordered pairs are positive.
(ii) 2nd Quadrant
Second quadrant is formed by negative x axis and positive y axis.
The ordered pair of 2nd quadrant is represented as ( – , + ).
This means that in second quadrant, the x coordinate is negative and y coordinate is positive.
(iii) 3rd Quadrant
Third Quadrant is formed by negative x & y axis.
The ordered pair of 3rd quadrant is represented as ( – , – )
This means that in 3rd quadrant, both x & y coordinates are negative.
(iv) 4th Quadrant
Fourth quadrant is formed by positive x axis and negative y axis.
The ordered pair of 4th quadrant is represented as ( +, – )
This means that in 4th quadrant, the x coordinate is positive and y coordinate is negative.