The right-top side region in the two dimensional space is called the first quadrant.

Two number lines are bisected perpendicularly at their centre point in two-dimensional Cartesian coordinate system for splitting the coordinate plane into four equal regions.

The right-top side region is called the first quadrant. The region in the angle $XOY$ is the first quadrant and represented by a Roman numeral $I$.

In $\angle XOY$, the $x$-axis and $y$-axis both represent positive values. Therefore, the signs of abscissa and ordinate of every point in this region must be positive.

If $x$-coordinate and $y$-coordinate of every point are represented by $x$ and $y$ respectively, then the values of them are written as $x > 0$ and $y > 0$ mathematically.

The first quadrant is used to identity the location of a point whose abscissa and ordinate are positive. Now, let’s learn how to use the first quadrant in the coordinate geometry.

Identify the location of the point $A(4, 3)$.

The $x$ coordinate (or abscissa) is $4$ and $y$ coordinate (or ordinate) is $3$ in this example.

- Identity $4$ on positive $x$-axis. Draw a line from $4$ but it should be parallel to positive $y$ axis and perpendicular to positive $x$ axis.
- Identify $3$ on negative $y$ axis. Draw a line from $3$ but it should be perpendicular to positive $y$ axis and parallel to positive $x$ axis.
- The two lines get perpendicularly intersected at a point in the plane and it is the point $A(4, 3)$.

In this way, the first quadrant of two dimensional Cartesian coordinate system is used for identifying the location of any point whose both abscissa and ordinate are positive.

Latest Math Topics

Latest Math Problems

Email subscription

Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers.
Know more

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.