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 a**rea 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.