Math Doubts

First Quadrant

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

Introduction

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.

Usage

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.

Example

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

first quadrant

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

  1. 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.
  2. 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.
  3. 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.

Math Doubts

A best free mathematics education website for students, teachers and researchers.

Maths Topics

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Maths Problems

Learn how to solve the maths problems in different methods with understandable steps.

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved