NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

Edited By Ramraj Saini | Updated on Oct 07, 2023 08:23 PM IST

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

Coordinate geometry class 9 questions and answers are provided here. The representation of points in the graphs taking x-axis and y-axis as a reference comes under coordinate geometry. This NCERT syllabus Class 9 chapter talks about the basics of coordinate geometry. These NCERT solutions are prepared by the expert team at Careers360 keeping in mind the latest CBSE syllabus 2023. these are in simple and easy to understandable language with having the comprehensive coverage of the concepts. practicing these NCERT solutions students can score well not only board exams but also score well in the competitive exams such as NEET and JEE Mains.

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NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry
Coordinate Geometry Class 9 Questions And Answers PDF Free Download
Coordinate Geometry Class 9 Solutions - Important Formulae
Coordinate Geometry Class 9 NCERT Solutions (Intext Questions and Exercise)
NCERT Solutions for Class 9 Maths Chapter Wise
Key Features of NCERT Solutions For Class 9 Maths Chapter 3
NCERT Solutions for Class 9 Subject wise

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

NCERT class 9 maths chapter 3 question answer discussed the concept of the cartesian plane, notations, name, and other terms associated with the coordinate plane and also will learn to plot the point in XY-plane. Here you will get NCERT solutions for Class 9 also.

Also Read :

Coordinate Geometry Class 9 Questions And Answers PDF Free Download

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Coordinate Geometry Class 9 Solutions - Important Formulae

Divide the plane into two perpendicular lines to create a Cartesian Plane.

1696689848985

Horizontal line = x-axis

Vertical line = y-axis

Coordinates:

First quadrant: (+, +)

Second quadrant: (–, +)

Third quadrant: (–, –)

Fourth quadrant: (+, –)

Origin coordinates: (0, 0)

Free download NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry for CBSE Exam.

Coordinate Geometry Class 9 NCERT Solutions (Intext Questions and Exercise)

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry Excercise: 3.1

Q1 How will you describe the position of a table lamp on your study table to another person?

Answer:

To describe the position of a table lamp placed on the table,

Let us consider the table lamp as P and the table as a plane.

Then, we consider two perpendicular edges of the table as the axes OX and OY.

From OY measure the perpendicular distance $'a'\ cm$ of P.

From OX measure the perpendicular distance $'b'\ cm$ of P.

Thus, the position of the lamp is then given by;

1640063724882

Q2 (i) (Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West 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 notebook. Represent the roads/streets by single lines.

There are many cross- streets in your model. A particular cross-street 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 cross-street (2, 5). Using this convention, find: how many cross - streets can be referred to as (4, 3).

Answer:

(i) From the figure:

1640063749696

There is only one cross - streets which can be referred to as (4, 3).

Q2 (ii) (Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West 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 notebook. Represent the roads/streets by single lines.

Answer:

(ii) From the figure:

1640063784821

The cross street as shown by the point $B(3,4).$

We have located the two cross streets because of the two reference lines.

Class 9 maths chapter 3 NCERT solutions Excercise: 3.2

Q1 (i) Write the answer of each of the following questions:

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

Answer:

The Horizontal line is x-axis and the Vertical line is y-axis.

Q1 (ii) Write the answer of each of the following questions:

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

Answer:

The name of each part of the plane formed by the x-axis and the y-axis is called "Quadrant".

Q1 (iii) Write the answer of each of the following questions:

Write the name of the point where these two lines intersect.

Answer:

The point where x-axis and y-axis both intersect is known as 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.

1640063816505

Answer:

From the figure:

1640063871819

(i) The coordinates of B are $(-5,2).$

(ii) The coordinates of C are $(5,-5).$

(iii) The point is E identified by the coordinates (–3, –5).

(iv) The point is G identified by the coordinates (2, – 4).

(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 are $(0,5).$

(viii) The coordinates of the point M are $(-3,0).$

Class 9 coordinate geometry NCERT solutions Excercise: 3.3

Q1 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.

Answer:

(-2,4) lies in second quadrant

(3,-1) lies in fourth quadrant

(-1,0) lies in second quadrant

(1,2) lies in first quadrant

(-3,-5) lies in third quadrant

Q2 Plot the points (x, y) given in the following table on the plane, choosing suitable unitsof distance on the axes.

x	-2	-1	0	1	3
y	8	7	-1.25	2	-1

Answer:

So, the graph of the given points is

1640063894510

Features Of NCERT Solutions For Class 9 Maths Chapter 3

This Class 9 NCERT book chapter introduces some basic concepts of coordinate geometry and there will be some higher-level concepts in the upcoming classes. Coordinate geometry was initially developed by a mathematician René Déscartes and French philosopher. There are a total of 3 exercises which consist of 6 questions. NCERT solutions for class 9 maths chapter 3 Coordinate Geometry are designed in such a manner so that a student can score maximum marks in the final examination.

Coordinate geometry is an interesting chapter where students get to learn about the position of an object in a plane, the coordinates of the cartesian plane, and so on. For example, ”Imagine a situation where Ramesh knows only the street number of his friend’s house. Would it be easy for Ramesh to find his friend's house, or would it be easier if he had both the street number and the house number?” There are many other situations in real life, in which to find a point, we might be required to describe its position with reference to more than one line. NCERT Solutions for Class 9 Maths Chapter 3 are covering the explanations to each and every question present in the practice exercises.

Interested students can practice class 9 maths ch 3 question answer using the given exercises.

NCERT Solutions for Class 9 Maths Chapter Wise

Chapter No.	Chapter Name
Chapter 1	Number Systems
Chapter 2	Polynomials
Chapter 3	Coordinate Geometry
Chapter 4	Linear Equations In Two Variables
Chapter 5	Introduction to Euclid's Geometry
Chapter 6	Lines And Angles
Chapter 7	Triangles
Chapter 8	Quadrilaterals
Chapter 9	Areas of Parallelograms and Triangles
Chapter 10	Circles
Chapter 11	Constructions
Chapter 12	Heron’s Formula
Chapter 13	Surface Area and Volumes
Chapter 14	Statistics
Chapter 15	Probability

Key Features of NCERT Solutions For Class 9 Maths Chapter 3

Chapter 3 maths class 9 solutions foster a positive attitude towards learning among students.
These solutions of class 9 chapter 3 provide a clear understanding of the fundamental concepts covered in the chapter.
Solving exercise questions chapter-wise with the help of these solutions can improve students' efficiency.
Detailed explanations are provided for all questions in the solutions for class 9 chapter 3 maths .
Students can work through the maths class 9 chapter 3 solutions at their own pace, gaining valuable practice in the process.

NCERT Solutions for Class 9 Subject wise

NCERT Solutions for Class 9 Maths

NCERT Solutions for Class 9 Science

How to Use NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry?

Go through the basic terminologies, concepts, and formulas given in the NCERT textbook.
Through some solved examples, learn the application of these concepts, terminologies, and formulas.
After doing the above two things, you can come to the practice exercises.
While practicing if you get stuck anywhere, you can take the assistance of NCERT solutions for Class 9 Maths chapter 3 Coordinate Geometry.
Once you have completed the practice exercise, you can come to the past 5 year papers.

Also Check NCERT Books and NCERT Syllabus here:

Frequently Asked Questions (FAQs)

1. What are the important topics in chapter Coordinate Geometry ?

The cartesian plane, notations, name of the coordinate plane, plot the point in XY-plane, distance formula are the important topics of this chapter.

2. What are the main advantages of using NCERT Solutions for chapter 3 class 9 maths?

NCERT Solutions for Class 9 Maths Chapter 3 present solutions in a stepwise manner to enhance comprehension and comfort in grasping concepts.
The inclusion of informative diagrams and tables in these solutions encourages comparative analysis and generates interest in learning.
These solutions aid students in developing a robust understanding of both fundamental and complex mathematical principles.
The solutions also promote quick learning and comprehension of the subject matter.

3. In what ways do NCERT class 9 maths chapter 3 solutions benefit students in the 9th grade?

NCERT Solutions for maths chapter 3 class 9 can assist students in resolving uncertainties and improving their readiness for CBSE exams. The questions in NCERT Solutions can not only aid in exam preparation but also in various competitive exams.

4. What are the strategies to achieve high scores in CBSE exams by utilizing NCERT Solutions for maths chapter 3 class 9th?

Consistent use of coordinate geometry class 9 solutions is recommended for students to acquire comprehensive knowledge of all concepts outlined in the current CBSE curriculum. Our expert team at Careers360 has created these solutions with a strong emphasis on precision, and regular utilization of these solutions can aid students in achieving high scores in CBSE exams.

5. Where can I find the complete solutions of NCERT for Class 9 Maths ?

Here, students will get the detailed NCERT solutions for class 9 maths by clicking on the link. they can practic these NCERT problems to get in-depth understanding of the concepts that will ultimately lead to score well in the exams.

Also Read

NCERT Solutions for Class 9 - Subject-wise PDFs Updated for 2024-25

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NCERT Syllabus for Class 9 Maths 2023 - Download Syllabus Pdf

NCERT Solutions For Class 9 Science Chapter 1 Matter in Our Surroundings

NCERT Solutions for Exercise 2.5 Class 9 Maths Chapter 2 Polynomials

NCERT Class 9 Maths Notes - Download Chapter Wise PDFs

NCERT Class 9 Maths Chapter 8 Notes Quadrilaterals - Download PDF

NCERT Class 9 Maths Chapter 2 Notes Polynomials - Download PDF

NCERT Class 9 Maths Chapter 1 Notes Number System - Download Free PDF

NCERT Class 9 Maths Chapter 5 Notes Introduction To Euclid’s Geometry - Download PDF

NCERT Class 9 Maths Chapter 6 Notes Lines and Angles - Download PDF

NCERT Exemplar Class 9 Maths Solutions - Chapter Wise Problems with Solutions

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