NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry Ex 3.2

Exercise 3.2

1. 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?

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

(iii). Write the name of the point where these two lines intersect.

Ans. (i) The horizontal line that is drawn to locate the position of any point in the Cartesian plane is called the $x$-axis.

The vertical line that is drawn to locate the position of any point in the Cartesian plane is called the $y$-axis.

(ii) Each part of the plane made by the $x$-axis and $y$-axis is called the quadrants.

(iii) The point where the $x$-axis and the $y$-axis meets is called as the origin ($O$).

2. See the figure, and write the following:

1. The coordinates of $\mathbf{B}$.

2. The coordinates of $\mathbf{C}$.

3. The point identified by the coordinates $\left( \mathbf{-3,-5} \right)$.

4. The point identified by the coordinates $\left( \mathbf{2,-4} \right)$.

5. The abscissa of the point $\mathbf{D}$.

6. The ordinate of the point $\mathbf{H}$.

7. The coordinates of the point $\mathbf{L}$.

8. The coordinates of the point $\mathbf{M}$.

Ans. Following the figure given in the problem, we can conclude that: 

1. The coordinates of point $B$ is the distance of point $B$ from $x$-axis and $y-$axis. So, the coordinates of point $B$ are $\left( -5,2 \right)$.

2. The coordinates of point $C$ is the distance of point $C$ from $x$-axis and $y$-axis. So, the coordinates of point $C$ are $\left( 5,-5 \right)$.

3. The point that represents the coordinates $\left( -3,-5 \right)$ is $E$.

4. The point that represents the coordinates $\left( 2,-4 \right)$ is $G$.

5. The abscissa of point $D$ is the distance of point $D$ from the $y$-axis. So, the abscissa of point $D$ is $6$.

6. The ordinate of point $H$ is the distance of point $H$ from the $x$-axis. Therefore, the abscissa of point $H$ is $-3$.

7. The coordinates of point $L$ in the above figure is the distance of point $L$ from $x$-axis and $y$-axis. So, the coordinates of point $L$ are $\left( 0,5 \right)$.

8. The coordinates of point $M$ in the above figure is the distance of point $M$ from $x$-axis and $y$-axis. So, the coordinates of point $M$ are $\left( -3,0 \right)$.

Conclusion

In conclusion, Exercise 3.2 of Chapter 3 in Class 9 Maths has provided a comprehensive introduction to the Cartesian System. By working through class 9 exercise 3.2, you have learned how to plot points using coordinates, understand the significance of the origin, and identify points in the four quadrants. These skills are fundamental for visualizing and solving geometric problems on the Cartesian plane. 

Class 9 Maths Chapter 3: Exercises Breakdown

CBSE Class 9 Maths Chapter 3 Other Study Materials

Chapter-Specific NCERT Solutions for Class 9 Maths

Given below are the chapter-wise NCERT Solutions for Class 9 Maths. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.

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