# Signs of Coordinates

Here we will learn about the signs of coordinates.

$$\overrightarrow{X'OX}$$ and $$\overrightarrow{Y'OY}$$ represent the co-ordinate axes. The ray $$\overrightarrow{OX}$$ is taken as positive x-axis. So, any distance along $$\overrightarrow{OX}$$ will be taken as positive and the ray $$\overrightarrow{OX'}$$ is taken as negative x-axis. So, any distance move along $$\overrightarrow{OX'}$$ will be taken as negative.

Similarly, ray $$\overrightarrow{OY}$$ taken as positive y-axis. So, the distance moved along $$\overrightarrow{OY}$$ will be taken as positive and $$\overrightarrow{OY'}$$ is taken as negative y-axis. So, the distance moved along $$\overrightarrow{OY'}$$ will be taken as negative.

 So, In Quadrant I, x > 0, y > 0 In Quadrant II, x < 0, y > 0 In Quadrant III, x < 0, y < 0 In Quadrant IV, x > 0, y < 0

The graph will help us to understand the convention of the signs of coordinates.

(i) The co-ordinates of any point lies in the first quadrant have both the abscissa and ordinate are positive i.e. (+, +).

(ii) The co-ordinates of any point lies in the second quadrant have the abscissa negative and ordinate positive i.e. (-, +).

(iii) The co-ordinates of any point lies in the third quadrant have both the abscissa and ordinate are negative i.e. (-, -).

(iv) The co-ordinates of any point lies in the fourth quadrant have the abscissa positive and ordinate negative i.e. (+, -).

Related Concepts:

Coordinate Graph

Find the Coordinates of a Point

Coordinates of a Point in a Plane

Plot Points on Co-ordinate Graph

Graph of Linear Equation

Simultaneous Equations Graphically

Graphs of Simple Function

Graph of Perimeter vs. Length of the Side of a Square

Graph of Area vs. Side of a Square

Graph of Simple Interest vs. Number of Years

Graph of Distance vs. Time