# NCERT Solutions Class 9 Maths Chapter 3 Coordinate Geometry Exercise 3.2

## Introduction:

In this exercise/article we will learn about Coordinate Geometry. The **horizontal** line X' X called the X-axis and the **vertical** line Y' Y is called the Y-axis. The point where X' X and Y' Y cross is called the **origin, **and is denoted by O. Since the positive numbers lie on the directions OX and OY , are called the positive directions of the x-axis and the y-axis, respectively. Similarly, OX' and OY' are called the negative directions of the x-axis and the y-axis, respectively. You see figure properly and read & learn 4 most important points in the exercise.

**(i)** If a point is in the 1st Quadrant, then the point will be in the form **( +,+ )** , since the 1st Quadrant is enclosed by the positive x-axis and the positive y-axis.

**(ii)** If a point is in the 2st Quadrant, then the point will be in the form **( -,+ )** , since the 2st Quadrant is enclosed by the negative x-axis and the positive y-axis.

**(iii)** If a point is in the 3st Quadrant, then the point will be in the form **( -,- )** , since the 3st Quadrant is enclosed by the negative x-axis and the negative y-axis.

**(iv)** If a point is in the 4st Quadrant, then the point will be in the form **( +,- )** , since the 4st Quadrant is enclosed by the positive x-axis and the negative y-axis.

NCERT Class 9 Maths Chapter 3 Coordinate Geometry :

- NCERT Class 9 Maths Chapter 3 Coordinate Geometry Exercise 3.1
- NCERT Class 9 Maths Chapter 3 Coordinate Geometry Exercise 3.2

**Class 9 Maths Exercise 3.2 (Page-52)**

**Q1. **Write the answer of each of the following questions :

(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane ?

**Solution :**

The name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane is the **X - axis** and **Y - axis .**

(ii) What is the name of each part of the plane formed by these two lines ?

**Solution :**

The name of each part of the plane formed by these two lines are **Quadrant .**

(iii) What is the name of the point where these two lines intersecting.

**Solution :**

The name of the point where these two lines intersecting called **origin .**

**Q2**. See fig. 3.14, and write the following :

(i) The coordinates of B.

(ii) The coordinates of C.

(iii) The point identified by the coordinates ( -3, -5 ).

(iv) The point identified by the coordinates ( 2, -4 ).

(v) The abscissa of the point D.

(vi) The ordinate of the point H.

(vii) The coordinates of the point L.

(viii) The coordinates of the point M.

**Solution :**

**(i)** The coordinates of B = ( -5, 2 ).

**(ii)** The coordinates of C = ( 5, -5 ).

**(iii)** The point identified by the coordinates ( -3, -5 ) = E .

**(iv)** The point identified by the coordinates ( 2, -4 ) = G .

**(v)** The abscissa of the point D = ( 6, 2 ).

**(vi)** The ordinate of the point H = ( -5, -3 ).

**(vii)** The coordinates of the point L = ( 0, 5 ).

**(viii)** The coordinates of the point M = ( -3, 0 ).