NCERT Solutions for Maths Class 9 Chapter 3 Coordinate Geometry Exercise 3.2 - FREE PDF Download
In Class 9 Maths Chapter 3 Exercise 3.2 solutions, we will understand the fundamental concepts of plotting, points on the Cartesian plane. Class 9 Maths NCERT Solutions for Chapter 3 Exercise 3.2 aims to build your understanding of how to represent geometric figures using coordinates. Students will learn how to locate points based on their x and y coordinates, understand the significance of the origin, and interpret the position of points in different quadrants. By mastering these skills, you will be able to visualize mathematical problems more clearly and solve them with greater accuracy. Access the CBSE Class 9 Maths Syllabus here.
- 3.1Exercise 3.2
Glance on NCERT Solutions Maths Chapter 3 Exercise 3.2 Class 9 | Vedantu
Class 9 Maths Chapter 3 Exercise 3.2 Solutions focuses on the topic Cartesian System.
The Cartesian System uses two perpendicular lines, the x-axis and the y-axis, intersecting at a point called the origin (0, 0). The x-axis extends to the right and left, representing positive and negative x-values respectively. The y-axis extends upwards and downwards, representing positive and negative y-values respectively.
Coordinates are defined as each point on the plane is identified by a unique pair of numbers called its coordinates. The first number represents the distance from the origin along the x-axis (positive for right, negative for left). The second number represents the distance from the origin along the y-axis (positive for up, negative for down). These coordinates are written within parentheses, separated by a comma (x, y).
Plotting Points: Exercise 3.2 likely focuses on practising how to plot points on the Cartesian System using their given coordinates. You'll be given coordinates like (2, 3) and asked to mark the corresponding point on the graph by moving 2 units to the right (x) and 3 units upwards (y) from the origin.
Class 9 Maths Exercise 3.2 has only 2 Questions and Solutions.
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:
The coordinates of $\mathbf{B}$.
The coordinates of $\mathbf{C}$.
The point identified by the coordinates $\left( \mathbf{-3,-5} \right)$.
The point identified by the coordinates $\left( \mathbf{2,-4} \right)$.
The abscissa of the point $\mathbf{D}$.
The ordinate of the point $\mathbf{H}$.
The coordinates of the point $\mathbf{L}$.
The coordinates of the point $\mathbf{M}$.
Ans. Following the figure given in the problem, we can conclude that:
The coordinates of point $B$ is the distance of point $B$ from $x$-axis and $y-$axis. So, the coordinates of point $B$ are $\left( -5,2 \right)$.
The coordinates of point $C$ is the distance of point $C$ from $x$-axis and $y$-axis. So, the coordinates of point $C$ are $\left( 5,-5 \right)$.
The point that represents the coordinates $\left( -3,-5 \right)$ is $E$.
The point that represents the coordinates $\left( 2,-4 \right)$ is $G$.
The abscissa of point $D$ is the distance of point $D$ from the $y$-axis. So, the abscissa of point $D$ is $6$.
The ordinate of point $H$ is the distance of point $H$ from the $x$-axis. Therefore, the abscissa of point $H$ is $-3$.
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 $\left( 0,5 \right)$.
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.
FAQs on NCERT Solutions Class 9 Maths Chapter 3 - Coordinate Geometry Exercise 3.2
1. What are the parts of the cartesian plane in class 9th exercise 3.2?
This particular exercise has in-depth knowledge about the cartesian plane. This exercise basically focuses on the four main quadrants that are formed from the two lines intersecting each other at right angles. Points on the cartesian planes are known as ORDERED PAIR.
2. Explain the abscissa and ordinate in cartesian plane?
The abscissa is the formal term used for the point marked by making a perpendicular from the y axis and measuring the length of the x axis. On the other hand, the point marked on y-the coordinate by drawing the y axis called ordinate. These are small laws which must be in mind for exercise 3.2 which are clearly explained in the vedantu ncert solutions class 9.
3. What are the sectors of the cartesian system?
These four quadrants represent a full set of coordinates including the x and y axis. The importance of learning the system is that you will use it to plot the points and curve. In this exercise,solved by vedantu, there will be a full explanation of all the concepts of the cartesian system.
4. What is the need of practicing points plotted on the cartesian plane?
Since now you have solved plenty of linear equations, you should know while writing coordinates and mention the y axis. Closely studying about the cartesian plane you will get the vision of solving these questions.
5. Why opting for the NCERT solutions given by vedantu is considered a good option.
Vedantu is considered as a good option because there would be conceptual clarity in solving the questions of exercise 3.2. With the help of these solutions students can easily understand the pattern of questions that can be asked in the exam from this chapter and it will help them to score good marks.
6. How do you plot a point in the Cartesian Plane?
To plot a point (x, y) in the Cartesian Plane:
Start from the origin (0, 0).
Move x units along the x-axis (right for positive, left for negative).
Move y units along the y-axis (up for positive, down for negative).
Mark the point where you stop.
7. What is the significance of the origin in the Cartesian System?
The origin is the point where the x-axis and y-axis intersect, represented as (0, 0). It serves as the reference point for plotting all other points in the Cartesian Plane.
8. Why is the Cartesian System important in mathematics?
The Cartesian System is important because it provides a clear and precise way to represent and analyse geometric figures and relationships in a plane. It is fundamental for studying coordinate geometry, solving problems involving distances, midpoints, and slopes, and understanding various mathematical concepts. Maths Class 9 Chapter 3 Exercise 3.2 simply covers all those above topics for the students to understand it better.
9. How can I improve my skills in using the Cartesian System?
To improve your skills in using the Cartesian System, practice plotting points, identifying coordinates, and solving problems related to distances and midpoints. Regularly working through exercises and using graph paper to visualize the concepts can also be helpful.
10. Can the Cartesian System be used in three dimensions?
Yes, as we have studied in class 9 exercise 3.2 the Cartesian System can be extended to three dimensions by adding a third axis, the z-axis, which is perpendicular to both the x-axis and y-axis. Points in three-dimensional space are represented by ordered triples (x, y, z).