Question

Which points are in the fourth quadrant?

Accepted Answer

The coordinate of a point $P$ is given by $P (h, k)$ , where $h$ is the $x$ -coordinate or abscissa and $k$ is the $y$ -coordinate or ordinate.

The value is $h$ is positive when a point is located at the right of $y$ -axis and it is negative when the point is located at the left of the $y$ -axis. The value of $h$ is $0$ when a point is located on the $y$ -axis.

The value is $k$ is positive when a point is located upwards from the $x$ -axis and it is negative when the point is located downwards from the $x$ -axis. The value of $k$ is $0$ when a point is located on the $x$ -axis.

Given below are the sign convention of a point in different quadrants:

$x$ -coordinate $y$ -coordinate Quadrant

Positive Positive First

Negative Positive Second

Negative Negative Third

Positive Negative Fourth

Thus, we have, the coordinate of the point $A$ is $(3, 0)$ . It is on the $x$ -axis.

The coordinate of the point $B$ is $(5, 2)$ . It is in the first quadrant.

The coordinate of the point $C$ is $(2, 4)$ . It is in the first quadrant.

The coordinate of the point $D$ is $(0, 2)$ . It is on the $y$ -axis.

The coordinate of the point $E$ is $(- 4, 3)$ . It is in the second quadrant.

The coordinate of the point $F$ is $(- 5, - 3)$ . It is in the third quadrant.

The coordinate of the point $G$ is $(- 2, - 4)$ . It is in the third quadrant.

The coordinate of the point $H$ is $(0, - 1)$ . It is on the $y$ -axis.

The coordinate of the point $I$ is $(1, - 3)$ . It is in the fourth quadrant.

The coordinate of the point $J$ is $(4, - 2)$ . It is in the fourth quadrant.

Therefore, the points $I (1, - 3)$ and $J (4, - 2)$ are in the fourth quadrant.

NCERT Solutions for Chapter: Coordinate Geometry, Exercise 1: Exercise

NCERT Mathematics Solutions for Exercise - NCERT Solutions for Chapter: Coordinate Geometry, Exercise 1: Exercise

Questions from NCERT Solutions for Chapter: Coordinate Geometry, Exercise 1: Exercise with Hints & Solutions

Learn and Prepare for any exam you want !