Mathematics is based on conceptual clarity and proper understanding of the topics. One can achieve all this if they have the right resources. Extramarks NCERT Solutions for Class 9 Mathematics Chapter 3 is the ultimate guide for students to practice questions and to step up their learning experience and eliminate “mathematics phobia” among students. .
This Chapter covers topics such as an introduction to the cartesian system, what is an origin, different coordinate axes and quadrants, various points in a quadrant and ways to plot points on a graph.
Our NCERT Solutions for Class 9 Mathematics Chapter 3 is specially designed, keeping in mind all the core concepts of this Chapter. It has highlighted points from the NCERT textbook, making it easier for the students to recall the concepts whenever required. It is based on the latest CBSE syllabus 2021-2022, prepared by experienced faculty and subject matter experts working conscientiously and diligently to prepare authentic, concise answers which students can trust and enjoy the process of learning.
Extramarks website is a reliable source for NCERT Solutions, NCERT Study materials, Revision notes and Mock tests.
Key Topics Covered In NCERT Solutions for Class 9 Mathematics Chapter 3
NCERT Solutions Class 9 Mathematics Chapter 3 is the general introduction to the Geometry part of Mathematics. The topics like quadrants and plotting a point on a graph will be beneficial for the students to study the complete unit of Coordinate Geometry in Class 12. . The concepts learnt in this chapter will be applicable in the wide range of Mathematics syllabus in higher classes.
You can find complete details about this chapter in our NCERT Solutions for Class 9 Mathematics Chapter 3. It includes point-to-point coverage of all the concepts in NCERT Class 9 Mathematics textbook making it convenient to read and apply for the students during their preparation.
The following topics are covered in this chapter
| Exercise |
Topic |
| 3.1 |
Introduction |
| 3.2 |
Cartesian system |
| 3.3 |
Plotting a point in the plane if its coordinates are given |
| 3.4 |
Summary |
After completing this chapter, students will become better performers in Geometry and it will give tips to solve all Geometry based problems quickly and easily. .
3.1 Introduction
This chapter introduces you to the ways you can locate and describe a point in a plane. Recalling the concepts of earlier classes, how to locate and describe a point on the number line.
Similarly, in this section, you get to know the details about the same for the coordinate Geometry and Cartesian system.
3.2 Cartesian system
You already know that there are fixed points on the number line having positive numbers on the right-hand side whereas negative numbers on the left-hand side.
Likewise, the cartesian system is the representation of the number line with the help of X and Y axes on a graph. The point of intersection of the X and Y axes is a fixed point. This fixed point is called the origin.
Also, the cartesian system is divided into four different parts called Quadrants. They are named as 1st Quadrant, 2nd Quadrant, 3rd Quadrant and 4th Quadrant.
To gain in-depth knowledge about the Quadrant, students can get access to our NCERT Solutions for Class 9 Mathematics Chapter 3 by registering on our website.
3.3 Plotting a point in the plane if its coordinates are given
Placing the point in the coordinate system or cartesian system is called plotting a point in the plane. There are a few steps one can follow to plot a point in the plane if its coordinates are given.
Following steps are given in the NCERT Solutions for Class 9 Mathematics Chapter 3:
- Draw a Cartesian system with proper X-axis and Y-axis
- Locate the given coordinates on the cartesian system
- Mark it on the graph paper accordingly
- Draw lines passing through the planes on the respective axes
- Look for their points of intersection
- The point of intersection is the point you have plotted
3.4 Summary
In Coordinate Geometry all the basic applications of Geometry which will be useful in chapters like a circle, parabola and hyperbola in Class 12.
Students should adhere to topics like plotting a point in the plane in order to be thorough in this chapter and develop further interest in Geometry in higher classes.
NCERT Solutions for Class 9 Mathematics Chapter 3 Exercise & Solutions
Class 9 and Class 10 Mathematics is important for students to understand properly, as it becomes the fundamental basis for higher classes. Extramarks Mathematics faculty experts have created NCERT Solutions for Class 9 Mathematics Chapter 3 to help students prepare for this subject.
Students may find complete theory and step-by-step solutions to all numerical problems covered in the NCERT textbook. Students should leverage the solution guide to get thorough knowledge and understanding of the chapter for Class 9 CBSE examinations.
The solution guide on the Extramarks website for the Class 9 Mathematics Chapter 3 covers topics on basics of the cartesian system, explanation of origin and steps of plotting a point on a graph. Experts advise students to revise this chapter multiple times as it’s a core topic of Geometry. The topics covered in this chapter will go a long way in understanding the advanced level concepts that would be covered in NCERT Class 10, NCERT Class 11 and NCERT Class 12 Mathematics syllabus.
Click on the links given below to view exercise specific questions and NCERT Solutions for Class 9 Mathematics Chapter 3.
- Chapter 3: Exercise 3.1 – Question and Answer Solutions
- Chapter 3: Exercise 3.2 – Question and Answer Solutions
- Chapter 3: Exercise 3.3- Question and Answer Solutions
By choosing Extramarks, students can enjoy a smooth and complete learning experience. NCERT Solutions for Class 9 Mathematics Chapter 3 is written in very easy language. It is designed after extensive research and following the CBSE syllabus and previous years CBSE question papers.
Along with Chapter 3 Mathematics Class 9 Solutions, you can explore NCERT Solutions on our Extramarks website for all primary and secondary classes.
- NCERT Solutions Class 1
- NCERT Solutions Class 2
- NCERT Solutions Class 3
- NCERT Solutions Class 4
- NCERT Solutions Class 5
- NCERT Solutions Class 6
- NCERT Solutions Class 7
- NCERT Solutions Class 8
- NCERT Solutions Class 9
- NCERT solutions Class 10
- NCERT solutions Class 11
- NCERT solutions Class 12
NCERT Exemplar Class 9 Mathematics
NCERT Exemplar Class 9 Mathematics is a complete source of information for CBSE students preparing for their grade 9 exams. It consists of various examples of helping students to leverage their performance. While revising from NCERT Exemplars, students gather complete knowledge of the Mathematics concepts and gain deeper insights on a variety of interconnected topics between various chapters.
Exemplar books have proved not only beneficial for students in CBSE but also in other curriculum. It covers complex theories that confidently prepare students to face the upcoming examinations. Students appearing for Class 9 are advised to refer to the NCERT Exemplar Class 8 Mathematics and involve it in their core study materials. Students will get a deeper knowledge of solving complex queries, and it will help prepare them for boards and other entrance examinations.
After referring to the NCERT Solutions and NCERT Exemplar, the students will be able to think logically about a problem. Then they may switch to more advanced and higher-level conceptual questions.
Key Features of NCERT Solutions for Class 9 Mathematics Chapter 3
It is necessary that students have the right and handy study resources to learn from and score well in exams. Therefore, NCERT Solutions for Class 9 Mathematics Chapter 3 offers a complete solution for all problems. The key features provided are:
- Extramarks NCERT Solutions for Class 9 Mathematics Chapter 3 helps students to retain whatever they have learnt for a long time
- The core concepts covered in Extramarks NCERT Solutions for Class 9 Mathematics Chapter 3 will aid students to excel in their school examinations.
- Students will learn ways to solve all the numerical with great speed and accuracy
- With the Coordinate Geometry chapter solutions, students will be able to apply the concepts required to solve many Geometry related problems.