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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