The left-bottom side region in the two dimensional space is called the third quadrant.
Two number lines are perpendicularly bisected at their middle point in bi-dimensional Cartesian coordinate system for splitting the coordinate plane into four equal regions.
The left-bottom side region is called the third quadrant. In this case, the region in the angle $X’OY’$ is the third quadrant and represented by a Roman numeral $III$.
If $x$-coordinate and $y$-coordinate of each point are denoted by $x$ and $y$ respectively, then the values of both coordinates are written in mathematical form as $x < 0$ and $y < 0$.
The third quadrant is used in the bi dimensional space to identity the location of a point whose abscissa and ordinate are negative. So, let’s study how to use the third quadrant in coordinate geometry.
Identify the location of the point $C(-6, -4)$.
Here, the $x$ coordinate (or abscissa) is $-6$ and $y$ coordinate (or ordinate) is $-4$.
In this way, the third quadrant of two dimensional Cartesian coordinate system is used for identifying the location of any point whose both abscissa and ordinate are negative.
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