NCERT Solutions for Class 9 Mathematics Chapter 3 Coordinate Geometry
Home > NCERT Solutions > NCERT Solutions for Class 9 Mathematics Chapter 3 Coordinate Geometry

CBSE Important Questions›

CBSE Previous Year Question Papers›
 CBSE Previous Year Question Papers
 CBSE Previous Year Question Papers Class 12
 CBSE Previous Year Question Papers Class 10

CBSE Revision Notes›

CBSE Syllabus›

CBSE Extra Questions›

CBSE Sample Papers›
 CBSE Sample Papers
 CBSE Sample Question Papers For Class 5
 CBSE Sample Question Papers For Class 4
 CBSE Sample Question Papers For Class 3
 CBSE Sample Question Papers For Class 2
 CBSE Sample Question Papers For Class 1
 CBSE Sample Question Papers For Class 12
 CBSE Sample Question Papers For Class 11
 CBSE Sample Question Papers For Class 10
 CBSE Sample Question Papers For Class 9
 CBSE Sample Question Papers For Class 8
 CBSE Sample Question Papers For Class 7
 CBSE Sample Question Papers For Class 6

ISC & ICSE Syllabus›

ICSE Question Paper›
 ICSE Question Paper
 ISC Class 12 Question Paper
 ICSE Class 10 Question Paper

ICSE Sample Question Papers›
 ICSE Sample Question Papers
 ISC Sample Question Papers For Class 12
 ISC Sample Question Papers For Class 11
 ICSE Sample Question Papers For Class 10
 ICSE Sample Question Papers For Class 9
 ICSE Sample Question Papers For Class 8
 ICSE Sample Question Papers For Class 7
 ICSE Sample Question Papers For Class 6

ICSE Revision Notes›
 ICSE Revision Notes
 ICSE Class 9 Revision Notes
 ICSE Class 10 Revision Notes

ICSE Important Questions›

Maharashtra board›

RajasthanBoard›
 RajasthanBoard

Andhrapradesh Board›
 Andhrapradesh Board
 AP Board Sample Question Paper
 AP Board syllabus
 AP Board Previous Year Question Paper

Telangana Board›

Tamilnadu Board›

NCERT Solutions Class 12›
 NCERT Solutions Class 12
 NCERT Solutions Class 12 Economics
 NCERT Solutions Class 12 English
 NCERT Solutions Class 12 Hindi
 NCERT Solutions Class 12 Maths
 NCERT Solutions Class 12 Physics
 NCERT Solutions Class 12 Accountancy
 NCERT Solutions Class 12 Biology
 NCERT Solutions Class 12 Chemistry
 NCERT Solutions Class 12 Commerce

NCERT Solutions Class 10›

NCERT Solutions Class 11›
 NCERT Solutions Class 11
 NCERT Solutions Class 11 Statistics
 NCERT Solutions Class 11 Accountancy
 NCERT Solutions Class 11 Biology
 NCERT Solutions Class 11 Chemistry
 NCERT Solutions Class 11 Commerce
 NCERT Solutions Class 11 English
 NCERT Solutions Class 11 Hindi
 NCERT Solutions Class 11 Maths
 NCERT Solutions Class 11 Physics

NCERT Solutions Class 9›

NCERT Solutions Class 8›

NCERT Solutions Class 7›

NCERT Solutions Class 6›

NCERT Solutions Class 5›
 NCERT Solutions Class 5
 NCERT Solutions Class 5 EVS
 NCERT Solutions Class 5 English
 NCERT Solutions Class 5 Maths

NCERT Solutions Class 4›

NCERT Solutions Class 3›

NCERT Solutions Class 2›
 NCERT Solutions Class 2
 NCERT Solutions Class 2 Hindi
 NCERT Solutions Class 2 Maths
 NCERT Solutions Class 2 English

NCERT Solutions Class 1›
 NCERT Solutions Class 1
 NCERT Solutions Class 1 English
 NCERT Solutions Class 1 Hindi
 NCERT Solutions Class 1 Maths

JEE Main Question Papers›

JEE Main Syllabus›
 JEE Main Syllabus
 JEE Main Chemistry Syllabus
 JEE Main Maths Syllabus
 JEE Main Physics Syllabus

JEE Main Questions›
 JEE Main Questions
 JEE Main Maths Questions
 JEE Main Physics Questions
 JEE Main Chemistry Questions

JEE Main Mock Test›
 JEE Main Mock Test

JEE Main Revision Notes›
 JEE Main Revision Notes

JEE Main Sample Papers›
 JEE Main Sample Papers

JEE Advanced Question Papers›

JEE Advanced Syllabus›
 JEE Advanced Syllabus

JEE Advanced Mock Test›
 JEE Advanced Mock Test

JEE Advanced Questions›
 JEE Advanced Questions
 JEE Advanced Chemistry Questions
 JEE Advanced Maths Questions
 JEE Advanced Physics Questions

JEE Advanced Sample Papers›
 JEE Advanced Sample Papers

NEET Eligibility Criteria›
 NEET Eligibility Criteria

NEET Question Papers›

NEET Sample Papers›
 NEET Sample Papers

NEET Syllabus›

NEET Mock Test›
 NEET Mock Test

NCERT Books Class 9›
 NCERT Books Class 9

NCERT Books Class 8›
 NCERT Books Class 8

NCERT Books Class 7›
 NCERT Books Class 7

NCERT Books Class 6›
 NCERT Books Class 6

NCERT Books Class 5›
 NCERT Books Class 5

NCERT Books Class 4›
 NCERT Books Class 4

NCERT Books Class 3›
 NCERT Books Class 3

NCERT Books Class 2›
 NCERT Books Class 2

NCERT Books Class 1›
 NCERT Books Class 1

NCERT Books Class 12›
 NCERT Books Class 12

NCERT Books Class 11›
 NCERT Books Class 11

NCERT Books Class 10›
 NCERT Books Class 10

Chemistry Full Forms›
 Chemistry Full Forms

Biology Full Forms›
 Biology Full Forms

Physics Full Forms›
 Physics Full Forms

Educational Full Form›
 Educational Full Form

Examination Full Forms›
 Examination Full Forms

Algebra Formulas›
 Algebra Formulas

Chemistry Formulas›
 Chemistry Formulas

Geometry Formulas›
 Geometry Formulas

Math Formulas›
 Math Formulas

Physics Formulas›
 Physics Formulas

Trigonometry Formulas›
 Trigonometry Formulas

CUET Admit Card›
 CUET Admit Card

CUET Application Form›
 CUET Application Form

CUET Counselling›
 CUET Counselling

CUET Cutoff›
 CUET Cutoff

CUET Previous Year Question Papers›
 CUET Previous Year Question Papers

CUET Results›
 CUET Results

CUET Sample Papers›
 CUET Sample Papers

CUET Syllabus›
 CUET Syllabus

CUET Eligibility Criteria›
 CUET Eligibility Criteria

CUET Exam Centers›
 CUET Exam Centers

CUET Exam Dates›
 CUET Exam Dates

CUET Exam Pattern›
 CUET Exam Pattern
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 20212022, 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 pointtopoint 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 righthand side whereas negative numbers on the lefthand 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 indepth 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 Xaxis and Yaxis
 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 stepbystep 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 higherlevel 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.
Q.1 How will you describe the position of a table lamp on your study table to another person?
Ans
Consider the lamp as a point and table as a plane. Choose any two perpendicular edges of the table. Measure the distance of the lamp from the longer edge, suppose it is 25 cm. Again, measure the distance of the lamp from the shorter edge, and suppose it is 30 cm. You can write the position of the lamp as (30, 25) or (25, 30), depending on the order you fix.
Q.2 (Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the NorthSouth direction and EastWest direction. All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your note book. Represent the roads/streets by single lines.
There are many cross streets in your model. A particular crossstreet is made by two streets, one running in the North – South direction and another in the East – West direction. Each cross street is referred to in the following manner. If the 2^{nd} street running in the North – South direction and 5^{th} in the East – West direction meet at some crossing, then we will call this crossstreet (2, 5). Using this convention, find:
(i) how many cross – streets can be referred to as (4, 3).
(ii) how many cross – streets can be referred to as (3, 4).
Ans
The street plan according to given instruction is given below:
Q.3 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 name of horizontal line is xaxis and the name of vertical line is yaxis in the Cartesian plane.
(ii) The name of each part of the plane formed by these two lines is quadrant.
(iii) The name of the point where these two lines intersect is the origin.
Q.4 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.
Ans
(i) Coordinate of B is (–5, 2).
(ii) Coordinate of C is (5, –5).
(iii) The point identified by the coordinates (–3, –5) is E.
(iv) The point identified by the coordinates (2, –4) is G.
(v) The abscissa of the point D is 6.
(vi) The ordinate of the point H is –3.
(vii) The coordinates of the point L is (0, 5).
(viii) The coordinates of the point M is (–3, 0).
Q.5 In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1), (– 1, 0), (1, 2) and (– 3, – 5) lie? Verify your answer by locating them on the Cartesian plane.
Ans
The positions of the given coordinates are given below:
Coordinate  Location in cartesian plane 
(– 2, 4)  Second quadrant 
(3, – 1)  Fourth quadrant 
(– 1, 0)  On Xaxis 
(1, 2)  First quadrant 
(– 3, – 5)  Third quadrant 
Graphical representation of the coordinates is given below:
Q.6 Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.
x  –2  –1  0  1  3 
y  8  7  –1.25  3  –1 
Ans
The graphical representation of the points is given below:
Please register to view this section
FAQs (Frequently Asked Questions)
1. Why is NCERT Class 9 Mathematics Chapter 3 so important?
NCERT Class 9 Mathematics Chapter 3 is one of the important chapters of Class 9 Mathematics as it covers all the fundamental concepts of Geometry which will be required in higher Classes. One should cover topics like ways to plot a point in the plane and know all details about the cartesian system. You can find the complete NCERT Solutions for Class 9 Mathematics Chapter 3 on the Extramarks website.
2. How many questions are included in NCERT Class 9 Mathematics Chapter 3?
NCERT Class 9 Mathematics Chapter 3 has a total of 6 questions. You can find a detailed explanation as well as solutions for each question given in the NCERT textbook in our NCERT Solutions for Class 9 Mathematics Chapter 3 on our Extramarks website.
3. How can I become strong in Mathematics?
Regular practice of the various sets of numericals can help you become strong in Mathematics. You can have a lot of questions to practice and exercises as well as extra questions in our NCERT Solutions for Class 9 Mathematics Chapter 3 available on Extramarks website.