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NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

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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.

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.

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 (3, 4).

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
Chapter 2
Chapter 3
Coordinate Geometry
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15

Key Features of NCERT Solutions For Class 9 Maths Chapter 3

  1. Chapter 3 maths class 9 solutions foster a positive attitude towards learning among students.
  2. These solutions of class 9 chapter 3 provide a clear understanding of the fundamental concepts covered in the chapter.
  3. Solving exercise questions chapter-wise with the help of these solutions can improve students' efficiency.
  4. Detailed explanations are provided for all questions in the solutions for class 9 chapter 3 maths .
  5. 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

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 Question (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?
  1. NCERT Solutions for Class 9 Maths Chapter 3 present solutions in a stepwise manner to enhance comprehension and comfort in grasping concepts.
  2. The inclusion of informative diagrams and tables in these solutions encourages comparative analysis and generates interest in learning.
  3. These solutions aid students in developing a robust understanding of both fundamental and complex mathematical principles.
  4. 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.

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A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1)

0.34\; J

Option 2)

0.16\; J

Option 3)

1.00\; J

Option 4)

0.67\; J

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

Option 2)

 6.45×10−3 kg

Option 3)

 9.89×10−3 kg

Option 4)

12.89×10−3 kg

 

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

Option 2)

200 \, \, J - 500 \, \, J

Option 3)

2\times 10^{5}J-3\times 10^{5}J

Option 4)

20,000 \, \, J - 50,000 \, \, J

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

Option 2)

\; K\;

Option 3)

zero\;

Option 4)

K/4

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

Option 2)

3.125 × 10-2

Option 3)

1.25 × 10-2

Option 4)

2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

Option 2)

increase two fold

Option 3)

remain unchanged

Option 4)

be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1)

Molality

Option 2)

Weight fraction of solute

Option 3)

Fraction of solute present in water

Option 4)

Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

Option 2)

6.023 × 1022

Option 3)

half that in 8 g He

Option 4)

558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

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Vlogger

In a career as a vlogger, one generally works for himself or herself. However, once an individual has gained viewership there are several brands and companies that approach them for paid collaboration. It is one of those fields where an individual can earn well while following his or her passion. 

Ever since internet costs got reduced the viewership for these types of content has increased on a large scale. Therefore, a career as a vlogger has a lot to offer. If you want to know more about the Vlogger eligibility, roles and responsibilities then continue reading the article. 

3 Jobs Available
Publisher

For publishing books, newspapers, magazines and digital material, editorial and commercial strategies are set by publishers. Individuals in publishing career paths make choices about the markets their businesses will reach and the type of content that their audience will be served. Individuals in book publisher careers collaborate with editorial staff, designers, authors, and freelance contributors who develop and manage the creation of content.

3 Jobs Available
Journalist

Careers in journalism are filled with excitement as well as responsibilities. One cannot afford to miss out on the details. As it is the small details that provide insights into a story. Depending on those insights a journalist goes about writing a news article. A journalism career can be stressful at times but if you are someone who is passionate about it then it is the right choice for you. If you want to know more about the media field and journalist career then continue reading this article.

3 Jobs Available
Editor

Individuals in the editor career path is an unsung hero of the news industry who polishes the language of the news stories provided by stringers, reporters, copywriters and content writers and also news agencies. Individuals who opt for a career as an editor make it more persuasive, concise and clear for readers. In this article, we will discuss the details of the editor's career path such as how to become an editor in India, editor salary in India and editor skills and qualities.

3 Jobs Available
Reporter

Individuals who opt for a career as a reporter may often be at work on national holidays and festivities. He or she pitches various story ideas and covers news stories in risky situations. Students can pursue a BMC (Bachelor of Mass Communication), B.M.M. (Bachelor of Mass Media), or MAJMC (MA in Journalism and Mass Communication) to become a reporter. While we sit at home reporters travel to locations to collect information that carries a news value.  

2 Jobs Available
Corporate Executive

Are you searching for a Corporate Executive job description? A Corporate Executive role comes with administrative duties. He or she provides support to the leadership of the organisation. A Corporate Executive fulfils the business purpose and ensures its financial stability. In this article, we are going to discuss how to become corporate executive.

2 Jobs Available
Multimedia Specialist

A multimedia specialist is a media professional who creates, audio, videos, graphic image files, computer animations for multimedia applications. He or she is responsible for planning, producing, and maintaining websites and applications. 

2 Jobs Available
Welding Engineer

Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues. 

5 Jobs Available
QA Manager
4 Jobs Available
Quality Controller

A quality controller plays a crucial role in an organisation. He or she is responsible for performing quality checks on manufactured products. He or she identifies the defects in a product and rejects the product. 

A quality controller records detailed information about products with defects and sends it to the supervisor or plant manager to take necessary actions to improve the production process.

3 Jobs Available
Production Manager
3 Jobs Available
Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.  

3 Jobs Available
QA Lead

A QA Lead is in charge of the QA Team. The role of QA Lead comes with the responsibility of assessing services and products in order to determine that he or she meets the quality standards. He or she develops, implements and manages test plans. 

2 Jobs Available
Structural Engineer

A Structural Engineer designs buildings, bridges, and other related structures. He or she analyzes the structures and makes sure the structures are strong enough to be used by the people. A career as a Structural Engineer requires working in the construction process. It comes under the civil engineering discipline. A Structure Engineer creates structural models with the help of computer-aided design software. 

2 Jobs Available
Process Development Engineer

The Process Development Engineers design, implement, manufacture, mine, and other production systems using technical knowledge and expertise in the industry. They use computer modeling software to test technologies and machinery. An individual who is opting career as Process Development Engineer is responsible for developing cost-effective and efficient processes. They also monitor the production process and ensure it functions smoothly and efficiently.

2 Jobs Available
QA Manager
4 Jobs Available
AWS Solution Architect

An AWS Solution Architect is someone who specializes in developing and implementing cloud computing systems. He or she has a good understanding of the various aspects of cloud computing and can confidently deploy and manage their systems. He or she troubleshoots the issues and evaluates the risk from the third party. 

4 Jobs Available
Azure Administrator

An Azure Administrator is a professional responsible for implementing, monitoring, and maintaining Azure Solutions. He or she manages cloud infrastructure service instances and various cloud servers as well as sets up public and private cloud systems. 

4 Jobs Available
Computer Programmer

Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.

3 Jobs Available
Product Manager

A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.  

3 Jobs Available
Information Security Manager

Individuals in the information security manager career path involves in overseeing and controlling all aspects of computer security. The IT security manager job description includes planning and carrying out security measures to protect the business data and information from corruption, theft, unauthorised access, and deliberate attack 

3 Jobs Available
ITSM Manager
3 Jobs Available
Automation Test Engineer

An Automation Test Engineer job involves executing automated test scripts. He or she identifies the project’s problems and troubleshoots them. The role involves documenting the defect using management tools. He or she works with the application team in order to resolve any issues arising during the testing process. 

2 Jobs Available
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