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:**

**● Ordered pair of a Coordinate System**

**● Find the Coordinates of a Point**

**● Coordinates of a Point in a Plane**

**● Plot Points on Co-ordinate Graph**

**● Simultaneous Equations Graphically**

**● 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**

**7th Grade Math Problems**

**8th Grade Math Practice**

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