Here we will learn about the signs of coordinates.
\(\overrightarrow{X'OX}\) and \(\overrightarrow{Y'OY}\) represent the coordinate axes. The ray \(\overrightarrow{OX}\) is taken as positive xaxis. So, any distance along \(\overrightarrow{OX}\) will be taken as positive and the ray \(\overrightarrow{OX'}\) is taken as negative xaxis. So, any distance move along \(\overrightarrow{OX'}\) will be taken as negative.
Similarly, ray \(\overrightarrow{OY}\) taken as positive yaxis. So, the distance moved along \(\overrightarrow{OY}\) will be taken as positive and \(\overrightarrow{OY'}\) is taken as negative yaxis. 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 coordinates of any point lies in the first quadrant have both the abscissa and ordinate are positive i.e. (+, +).
(ii) The coordinates of any point lies in the second quadrant have the abscissa negative and ordinate positive i.e. (, +).
(iii) The coordinates of any point lies in the third quadrant have both the abscissa and ordinate are negative i.e. (, ).
(iv) The coordinates 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 Coordinate 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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