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Class 9 Mathematics Assignments

We have provided below free printable Class 9 Mathematics Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 9 Mathematics . These Assignments for Grade 9 Mathematics cover all important topics which can come in your standard 9 tests and examinations. Free printable Assignments for CBSE Class 9 Mathematics , school and class assignments, and practice test papers have been designed by our highly experienced class 9 faculty. You can free download CBSE NCERT printable Assignments for Mathematics Class 9 with solutions and answers. All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Class 9. Students can click on the links below and download all Pdf Assignments for Mathematics class 9 for free. All latest Kendriya Vidyalaya Class 9 Mathematics Assignments with Answers and test papers are given below.

Mathematics Class 9 Assignments Pdf Download

We have provided below the biggest collection of free CBSE NCERT KVS Assignments for Class 9 Mathematics . Students and teachers can download and save all free Mathematics assignments in Pdf for grade 9th. Our expert faculty have covered Class 9 important questions and answers for Mathematics as per the latest syllabus for the current academic year. All test papers and question banks for Class 9 Mathematics and CBSE Assignments for Mathematics Class 9 will be really helpful for standard 9th students to prepare for the class tests and school examinations. Class 9th students can easily free download in Pdf all printable practice worksheets given below.

Topicwise Assignments for Class 9 Mathematics Download in Pdf

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Advantages of Class 9 Mathematics Assignments

• As we have the best and largest collection of Mathematics assignments for Grade 9, you will be able to easily get full list of solved important questions which can come in your examinations.
• Students will be able to go through all important and critical topics given in your CBSE Mathematics textbooks for Class 9 .
• All Mathematics assignments for Class 9 have been designed with answers. Students should solve them yourself and then compare with the solutions provided by us.
• Class 9 Students studying in per CBSE, NCERT and KVS schools will be able to free download all Mathematics chapter wise worksheets and assignments for free in Pdf
• Class 9 Mathematics question bank will help to improve subject understanding which will help to get better rank in exams

Frequently Asked Questions by Class 9 Mathematics students

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We provide here Standard 9 Mathematics chapter-wise assignments which can be easily downloaded in Pdf format for free.

You can click on the links above and get assignments for Mathematics in Grade 9, all topic-wise question banks with solutions have been provided here. You can click on the links to download in Pdf.

We have provided here topic-wise Mathematics Grade 9 question banks, revision notes and questions for all difficult topics, and other study material.

We have provided the best collection of question bank and practice tests for Class 9 for all subjects. You can download them all and use them offline without the internet.

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NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

Class 9 Maths Chapter 3 for CBSE Board Class 9 Maths Exercise 3.1 in English Class 9 Maths Exercise 3.2 in English

Class 9 Maths Chapter 3 for State Boards Class 9 Maths Chapter 3 Exercise 3.1 Class 9 Maths Chapter 3 Exercise 3.2 Class 9 Maths Chapter 3 Exercise 3.3

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry in Hindi and English Medium modified and updated for new academic session 2024-25 based on latest Curriculum. All educational resources on Tiwari Academy are available for free. This is advantageous for students who not have access to paid educational materials or prefer to save on expenses. Question-answers and solutions are prepared according to new NCERT books for class 9 issued for 2024-25 exams.

Being an online platform, our materials are usually accessible 24/7, allowing students to study at their own pace and convenience. Our solutions can serve as a useful revision tool for students preparing for exams. They can quickly review key concepts and problem-solving techniques. Class 9 Maths Chapter 3 in Hindi Medium Class 9 Maths Exercise 3.1 in Hindi Class 9 Maths Exercise 3.2 in Hindi

Class 9 Maths Chapter 3 Study Material

• 9th Maths Study Material for 2024-25 – English Medium
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UP Board students can get the UP Board Solutions for Class 9 Maths Chapter 3 from here. They can download Exercise 3.1 and Exercise 3.2 in English Medium or Prashnavali 3.1 and Prashnavali 3.2 in Hindi Medium PDF format free. View all exercises in Video Format for the students of CBSE and UP Board following the new NCERT (https://ncert.nic.in/) Books 2024-25 for their final exams in 2024-25. All the questions are described using simple and easy steps so that students can understand all the sums of 9th Maths Chapter 3. If someone is facing any problem to use these solutions, please contact us for help. Download Class 9 Maths App for CBSE and UP Board for Offline use or Download Kaksha 9 Ganit App for offline use.

All the solutions are re-prepared removing the error are simplifying the steps of solving including the formula on each step for the simplification. NCERT Solutions 2024-25 are up to date according to the new CBSE curriculum for 2024-25.

Important Questions on 9th Maths Chapter 3

In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1), (– 1, 0), (1, 2) and (– 3, – 5) lie.

(–2, 4): Second Quadrant (3, –1): Fourth Quadrant (–1, 0): x–axis (1, 2): First Quadrant (–3, –5): Third Quadrant

How can we locate the position of an object?

• To locate the position of an object or a point in a plane, we require two perpendicular lines. One of them is horizontal, and the other is vertical.

What is the coordinates of origin?

• The coordinates of the origin are (0, 0).

What is the coordinates of a point on x-axis or on y-axis?

• The coordinates of a point on the x-axis are of the form (x, 0) and that of the point on the y-axis are (0, y).

What are quadrants?

• The coordinate axes divide the plane into four parts called quadrants.

NCERT Solutions for Class 9 Maths Chapter 3 all exercises and Prashnavali are given to download free for new academic session 2024-25. You can view these solutions in Video Format also. Download Kaksha 9 Ganit App for offline use. These apps work well without internet also. Ask your doubts in Discussion Forum and share your knowledge with your friends and other users.

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I. In Cartesian system, there are two perpendicular straight lines XX’ (horizontal line) and YY’ (vertical line) which intersect at origin. II. The x and y-coordinates of a point is the perpendicular distance from the Y-axis and X-axis measured along the X and Y-axes respectively. III. The y-coordinate of any point X-axis is zero and x-coordinate of any point on Y-axis is zero. IV. The axes divides the plane into four quadrants . 1. In 1st quadrants x > 0, y > 0 i.e (+, +) 2. In 2nd quadrants x < 0, y > 0 i.e (-, +) 3. In 3rd quadrants x < 0, y < 0 i.e (-, -) 4. In 4th quadrants x > 0, y < 0 i.e (+, -)

What are the main points of Class 9 Maths Chapter 3 for exams?

The main points for the term exam preparation from chapter 3 class 9th Maths are:

• The plane is called the Cartesian, or coordinate plane and the lines are called the coordinate axes.
• The horizontal line is called the x -axis, and the vertical line is called the y – axis.
• The point of intersection of the axes is called the origin.
• The distance of a point from the y – axis is called its x-coordinate, or abscissa, and the distance of the point from the x-axis is called its y-coordinate, or ordinate.
• If the abscissa of a point is x and the ordinate is y, then (x, y) are called the coordinates of the point.
• The coordinates of a point are of the form (+ , +) in the first quadrant, (–, +) in the second quadrant, (–, –) in the third quadrant and (+, –) in the fourth quadrant, where + denotes a positive real number and – denotes a negative real number.
• If x ≠ y, then (x, y) ≠ (y, x), and (x, y) = (y, x), if x = y.

How many problems are there in chapter 3 of class 9th Maths for exams?

As per latest NCERT books for class 9 Maths, in chapter 3, there are two exercises. The first exercise (Ex 3.1) contains two questions, and the second exercise (Ex 3.2) contains two questions, and two examples (examples 1, 2). So, there are in all six problems (6 questions and four examples) in chapter 3 (Coordinate Geometry) of class 9th Maths.

Is it possible to solve chapter 3 Coordinate Geometry of class 9th Maths in one day?

No, it is not possible to solve chapter 3 (Coordinate Geometry) of class 9th Maths in one day. Students need a maximum of 3 days to solve chapter 3 (Coordinate Geometry) of class 9th Maths if they give at least 1-2 hours per day to this chapter. This time also depends on student’s speed, efficiency, capability, and many other factors.

Is chapter 3 of class 9th Maths complicated?

No, chapter 3 of class 9th Maths is not at all complicated. It is the easiest chapter of class 9th Maths. This chapter is the student’s favourite chapter. Students quickly solve all questions of this chapter without any difficulty because the questions of this chapter are nice and easy.

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Chapter 4. linear equations in two variables ».

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MCQ Questions for Class 9 Maths Chapter 3 Coordinate Geometry with Answers

MCQs from Class 9 Maths Chapter 3 – Coordinate Geometry are provided here to help students prepare for their upcoming Maths exam.

MCQs from CBSE Class 9 Maths Chapter 3: Coordinate Geometry

1. If the coordinates of a point are (0, -4), then it lies in: a) X-axis b) Y-axis c) At origin d) Between x-axis and y-axis

Answer: (b) Explanation: Since, x=0 and y=-4. Hence, the point will lie in negative y-axis 4 units far from the origin.

2. If the coordinates of a point are (3, 0), then it lies in: a) X-axis b) Y-axis c) At origin d) Between x-axis and y-axis

Answer: (a) Explanation: Since, x = 3 and y = 0, therefore, the point will lie at positive x-axis 3 units far from the origin.

3. If the coordinates of a point are (-3,4), then it lies in: a) First quadrant b) Second quadrant c) Third quadrant d) Fourth quadrant

4. If the coordinates of a point are (-3,-4), then it lies in: a) First quadrant b) Second quadrant c) Third quadrant d) Fourth quadrant

Answer: (c) Explanation: Since, x = -3 and y = -4, then if we plot the point in a plane, it lies in the third quadrant.

5. The name of horizontal line in the cartesian plane which determines the position of a point is called: a) Origin b) X-axis c) Y-axis d) Quadrants

6. The name of vertical line in the cartesian plane which determines the position of a point is called: a) Origin b) X-axis c) Y-axis d) Quadrants

7. The section formed by horizontal and vertical lines determining the position of point in a cartesian plane is called: a) Origin b) X-axis c) Y-axis d) Quadrants

8. The point of intersection of horizontal and vertical lines determining the position of point in a cartesian plane is called: a) Origin b) X-axis c) Y-axis d) Quadrants

9. Points (1,2), (-2,-3), (2,-3); a) First quadrant b) Do not lie in the same quadrant c) Third quadrant d) Fourth quadrant

10. If x coordinate of a point is zero, then the point lies on: a) First quadrant b) Second quadrant c) X-axis d) Y-axis

11.  The points (–4,–8) lies in: a) First quadrant b) Second quadrant c) Third quadrant d) Fourth quadrant

12.  The point (0, –5) lies: a) On the  x -axis b) On the  y -axis c) In the first quadrant d) None of the above

13.  Ordinate of all the points in the  x -axis is: a) 0 b) 1 c) –1 d) Any natural number

14.  Points (1, -2), (1, -3), (-4, 5), (0, 0), (3, -3) a) Lie in III quadrant b) Lie in II quadrant c) Lie in IV quadrant d) Do not lie in the same quadrant

15.  If the  x -coordinate of a point is zero, then this point lies: a) In II quadrant b) In I quadrant c) On x-axis d) On y-axis

16.  If the perpendicular distance of a point P from the  x -axis is 7 units and the foot of the perpendicular lies on the negative direction of  x -axis, then the point P has: a)  y -coordinate = 7 or –7 only b)  y -coordinate = 7 only c)  y -coordinate = –7 only d)  x -coordinate = –7

17.  On plotting P (–3, 8), Q (7, –5), R (–3, –8) and T (–7, 9) are plotted on the graph paper, then point(s) in the third quadrant are: a) P and T b) Q and R c) Only R d) P and R

18.  If the coordinates of the two points are P (–7, 5) and Q (–6, 9), then (abscissa of P) – (abscissa of Q) is a) –3 b) 1 c) –2 d) –1

19.  Abscissa of a point is positive in: a) I and II quadrants b) I and IV quadrants c) I quadrant only d) II quadrant only

20.  The point whose ordinate is 8 and lies on  y -axis: a) (0, 8) b) (8, 0) c) (5, 8) d) (8, 5)

21.  The coordinates of any point on the  y -axis are of the form (0, k), where |k| is the distance of the point from the: a)  y -axis b)  x -axis c) (0, 1) d) (1, 0)

22.  The mirror of a point (3, 4) on  y -axis is: a) (3, 4) b) (–3, 4) c) (3, –4) d) (–3, –4)

23.  The distance of the points (5, 0) and (–3, 0) from  x -axis is: a) –3 b) 5 c) 0 d) 2

24.  The perpendicular distance of a point P (5, 8) from the  y -axis is: a) 5 b) 8 c) 3 d) 13

25.  A point ( x  + 2,  x  + 4) lies in the first quadrant, the mirror image for which for  x -axis is (5, –7). What is the value of  x ? a) (–5, –7) b) (–5, 7) c) (5, –7) d) (5, 7)

MCQ Questions for Class 9 Maths with Answers

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What   is Cartesian coordinate system

Answer: A system which involves the x-axis and y-axis on the two dimensional surface is called a cartesian coordinate system.

What we call the horizontal line in Cartesian coordinate system.

Answer: Horizontal line is called the x - axis.

What we call the vertical   line in Cartesian coordinate system.

Answer: Vertical Line is called the y - axis.

Which point is called the origin and what are its coordinates.

Answer: The point of intersection of x - axis and y - axis is called the Origin. Coordinates of origin are (0,0)

What is the point on x – axis.

Answer: Any point on the x - axis is (a, 0)

What is the point on y-axis.

Answer:  Any point on the y - axis is (0, b)

What do you mean by ordinates.

Answer: Point on y - axis is called ordinate.

What do you mean by abscissa.

Answer: Point on the x-axis is called abscissa.

Write the coordinates of the points given in the following graph. Also write In which quadrant or on which axis the following points lie.

Answer: 

A(3, 4) lie in I quadrant

B(-4, 3) lie in II quadrant

C(-2. -3) lie in III quadrant

D(3, -2) lie in IV quadrant

E(2, 0) lie on the x-axis

F(-2, 0) lie on the x-axis

G(0, 2) lie on y-axis

H(0, -2) lie on y-axis

Write the abscissa and ordinate of the following points

(-3, 5),     (0, 9),    (-5, 0),     (3,3),    (7, -9),   (12, 13)

Abscissa:  -3, 0, -5, 3, 7, 12

Ordinate:  5, 9, 0, 3, -9, 13

Write the coordinates of the point :

a) Whose ordinate is -5 and which lies on y- axis.

b) Which lies on x-axis and y – axes both.

c) Whose abscissa is -3 and which lies on x – axis.

b) Point on the x-axis is (a, 0) and Point on the y-axis is (0, b)

  Question 13:

What is the perpendicular distance of the point (3, 4) from

           a)   x – axis           b) Y – axis

a) 4 unit   b) 3 unit

What is the perpendicular distance of the point (7, 26) from

a) 26 unit   b) 7 unit

Name the quadrant in which abscissa and ordinate have different sign.

Ans: In II and IV quadrant abscissa and ordinate have different sign.

Plot the points P(1,0), Q(4,0), and S(1, 3). Find the coordinates of point R such that PQRS is a square. Also find the area of the square.     

Coordinates of R(4, 3),  Area of square PQRS = 9 square units)

Mark the points A(2, 2), B(2, -2), C(-2, -2) and D(-2, 2) on the graph paper and join these points in order. Identify the figure so obtained. Also find the area of the figure.  

Square, Area = 16cm 2 ]

Plot the points P(-1, 0), Q(0, 1) and R(2, 3) on the graph paper and check whether they are collinear or not.

Answer: If P, Q, R all points lie on a straight line then points are collinear.

If the points A(0, -6), B(0, 2 and C (a, 3) lie on the y-axis, then find the value of a.

Answer: For points on the y-axis the abscissa is "0" So the value of a = 0

From the given graph write :

a) The coordinates of the points B and F

b) The abscissas of points D and H

c) The ordinates of the points A and C

d) The perpendicular distance of the point G from x-axis 

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Class 9 Math Lesson Plan | All Chapters

Mathematics lesson plan for class 9th teachers.

Class 9 maths lesson plans should match the syllabus and evaluation formats. Lesson plans help students get ready for internal evaluations, standardised examinations, and future academic attempts by thoroughly covering the important subjects and offering lots of practice chances. Lesson plans for class 9 mathematics are essential for building a solid foundation, encouraging conceptual comprehension, and active learning, and preparing students for academic achievement and continuous mathematics learning.

Download links to the chapter-wise lesson plan for Maths class 9 PDF are provided below. The collection is from multiple sources such as the DIKSHA Platform, Jawahar Navodaya Vidyalaya and Salwan Public School. We hope to make the work of school teachers easier.

Lesson Plans from Diksha

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• Lesson Plan Class 9 Maths supports the logical arrangement of mathematical subjects. Students may learn things slowly since each lesson usually builds on the one before it. Students can read along and won't become overwhelmed by the subject's complexity due to this progressive learning technique.
• Lesson Plan of Maths Class 9 provides the groundwork for advanced mathematics. Comprehensive coverage of basic subjects such as algebra, geometry, trigonometry, etc., is guaranteed by a well-structured lesson plan. For students to comprehend more complicated topics in later years, this foundation is necessary.
• Formative feedback processes and evaluations are commonly incorporated into lesson plans to evaluate students' comprehension and advancement. These evaluations can be given in a variety of ways, including discussions in class, assignments, projects, and quizzes. Teachers are better equipped to see potential problem areas in their pupils and offer extra help as necessary when they receive regular feedback.

Mathematics develops analytical, problem-solving, and critical thinking abilities in addition to numbers and equations. Effective lesson plans use exercises and real-world examples to show how important mathematics is to daily living. This helps in the development of critical life skills that students will benefit from outside of the classroom. We hope that the above lesson plan for Maths class 9 PDF will prove to be beneficial for teachers as well as students.

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Assignments For Class 9 Mathematics

Assignments for Class 9 Mathematics have been developed for Standard 9 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 9 Mathematics from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 9 Mathematics. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Mathematics book and get good marks in class 9 exams.

Assignments with Answers for Class 9 Mathematics

Assignments for Class 9 Mathematics as per CBSE and NCERT pattern

More Assignments for Class 9 Mathematics

Assignments for Class 9 Mathematics as per CBSE NCERT pattern

All students studying in Grade 9 Mathematics should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Mathematics exam for standard 9. We have made sure that all topics given in your textbook for Mathematics which is suggested in Class 9 have been covered ad we have made assignments and test papers for all topics which your teacher has been teaching in your class. All chapter wise assignments have been made by our teachers after full research of each important topic in the textbooks so that you have enough questions and their solutions to help them practice so that they are able to get full practice and understanding of all important topics. Our teachers at https://www.assignmentsbag.com have made sure that all test papers have been designed as per CBSE, NCERT and KVS syllabus and examination pattern. These question banks have been recommended in various schools and have supported many students to practice and further enhance their scores in school and have also assisted them to appear in other school level tests and examinations. Its easy to take print of thee assignments as all are available in PDF format.

Some advantages of Free Assignments for Class 9 Mathematics

• Solving Assignments for Mathematics Class 9 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
• By solving one assignments given in your class by Mathematics teacher for class 9 will help you to keep in touch with the topic thus reducing dependence on last minute studies
• You will be able to understand the type of questions which are expected in your Mathematics class test
• You will be able to revise all topics given in the ebook for Class 9 Mathematics as all questions have been provided in the question banks
• NCERT Class 9 Mathematics Workbooks will surely help you to make your concepts stronger and better than anyone else in your class.
• Parents will be able to take print out of the assignments and give to their child easily.

All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 9 Mathematics teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 9 Mathematics Assignments PDF.

You can download free assignments for class 9 Mathematics from https://www.assignmentsbag.com

You can get free PDF downloadable assignments for Grade 9 Mathematics from our website which has been developed by teachers after doing extensive research in each topic.

On our website we have provided assignments for all subjects in Grade 9, all topic wise test sheets have been provided in a logical manner so that you can scroll through the topics and download the worksheet that you want.

You can easily get question banks, topic wise notes and questions and other useful study material from https://www.assignmentsbag.com without any charge

Yes all test papers for Mathematics Class 9 are available for free, no charge has been put so that the students can benefit from it. And offcourse all is available for download in PDF format and with a single click you can download all assignments.

https://www.assignmentsbag.com is the best portal to download all assignments for all classes without any charges.

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CBSE Class 9 Maths Worksheet Chapter 1 Number System

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• Number System

CBSE Class 9 Maths Worksheet Chapter 1 Number System - Download Free PDF with Solution

When it comes to Maths as a whole, not many people excel in this subject as it is a subject that solely relies on the logical reasoning functions of the brain. That is why the number system can be intimidating to most students. In Chapter 1, Number System for Class 9, students will learn the number system and their types and how to solve the equations. 

So, what is the number system, and what does the number system syllabus contain? A number system can be defined as an arithmetic system or practice of writing numbers to express them. It is the mathematical notation for continuously representing numbers of any given set by using a certain set of digits, symbols, or other characters. It offers a unique representation of every number. It signifies the arithmetic and algebraic structure of the given figures, permitting us to carry out mathematical calculations such as addition, subtraction, and division. 

All these figures carry their values, which can be determined by looking at the digit, the position in the number, and the base of the number. A number is a mathematical value used to count, measure, or label objects. Regarding the number system, these numbers are used as digits. 

With the help of worksheets such as the Number System Class 9 worksheet, Class 9 Maths Chapter 1 worksheet pdf, and worksheet for Class 9 Maths Chapter 1 with solutions and the operations on Real Numbers Class 9 worksheet, students will have a better understanding of what number systems are and how to solve them accurately.

Access Worksheet for Class 9 Maths Number System

1. It is impossible to represent a rational number in decimal form.

Terminating

Non- terminating

Repeating or Non- Terminating

Non-repeating or Non- terminating

2. Between two rational numbers

There is no rational number.

There is exactly one rational number.

There are infinitely many rational numbers.

There are only rational numbers and no irrational numbers.

3. The product of any two irrational numbers,

is always an irrational number.

is always a rational number.

is always an integer.

can be rational or irrational.

4. Which of the following is irrational?

$\sqrt{81}$

$\dfrac{\sqrt{12}}{\sqrt{3}}$

$\dfrac{\sqrt{4}}{9}$

5. What is the value is $\sqrt{4} \times \sqrt{81}$?

6. Fill in the blanks;

Any two integers are separated by a finite number of others …..

There are an ….. amount of rational numbers between 15 and 18.

X+Y is a rational number if x and y are both ……

Value of $\sqrt[3]{8}$ …….

7. Match the Column:

8. Using two irrational numbers as an example:

Product is an irrational number.

Difference is an irrational number.

Division is an irrational number.

9. Simplify; $(\sqrt{5}+\sqrt{6})(\sqrt{5}-\sqrt{6})$.

10. Simplify; $\sqrt[3]{1331}-\sqrt{100}+\sqrt{81}$.

11. Calculate the value of $\dfrac{11^{\dfrac{1}{2}}}{11^{\dfrac{1}{4}}}$.

12. Calculate the $\dfrac{x}{y}$ form of $0.777 . . . . .$, where $\mathbf{x}$ and $\mathbf{y}$ are integers and $\mathbf{y}$ does not equal to zero.

13. Find three rational number between $\dfrac{9}{11}$ and $\dfrac{5}{11}$.

14. The value of $\dfrac{\sqrt{8}+\sqrt{12}}{\sqrt{32}+\sqrt{48}}$.

15. The value of $a^b+b^a$, if $\mathbf{a}=2$ and $\mathbf{b}=3$

16. Simplify; $2^{\dfrac{2}{3}} \cdot 2^{\dfrac{1}{5}}$

17. Find the value of $\dfrac{1}{a^b+b^a}$, where $a=5, \mathbf{b}=2$

18. Arrange in ascending order $\sqrt[3]{2}, \sqrt{3}, \sqrt[6]{5} \text {. }$

19. Simplify $(4 \sqrt{5}+3 \sqrt{7})^2$

20. Find the value of a, If $\left(\dfrac{y}{x}\right)^{2a-8}=\left(\dfrac{x}{y}\right)^{a-1}$.

21. Rationalize the denominators of $\dfrac{1}{\sqrt{7}}$.

22. Recall, $\pi$ is defined as the ratio of circumference (say c) to its diameter (say d). That is $\pi=\dfrac{c}{d}$. This seems to contradict the fact that $\pi$ is irrational. How will you resolve this contradiction?

23. Express $0 . \overline{001}$ in the form of $\dfrac{p}{q}$, where $\mathrm{p}$ and $\mathrm{q}$ are integers and $\mathrm{q} \neq 0$.

24. Find five rational numbers between $\dfrac{3}{4}$ and $\dfrac{4}{5}$

25. Find six rational numbers between 3 and 4.

Answers to the Worksheet:

A rational number cannot have a non-terminating or non-repeating decimal form.

2. (c) 

Between two rational numbers, there are infinitely many rational numbers. 

E.g. $\dfrac{3}{5}$ and $\dfrac{4}{5}$ are two rational numbers, then $\dfrac{31}{50} \dfrac{32}{50} \dfrac{33}{50} \dfrac{34}{50} \dfrac{35}{50} \ldots$ are infinite rational number between them.

3. (d) 

The product of two irrational numbers can be rational or irrational depending on the two numbers.

For example, $\sqrt{3} \times \sqrt{3}$ is 3 which is a rational number whereas $\sqrt{2} \times \sqrt{4}$ is $\sqrt{8}$ which is an irrational number. As $\sqrt{3}, \sqrt{2}, \sqrt{4}$ are irrational.

Hence, option D is correct.

4. (a) $\sqrt{7}$ is an irrational number.

5. (b) 

$\sqrt{4} \times \sqrt{81}$ $= \sqrt{2^2} \times \sqrt{9^2}$ $= 2 \times 9$ = 18

6. Fill in the blanks.

Any two integers are separated by a finite number of other integers .

There are an endless amount of rational numbers between 15 and 18 .

$\mathrm{X}+\mathrm{Y}$ is a rational number if $\mathrm{x}$ and $\mathrm{y}$ are both rational numbers .

Value of $\sqrt[3]{8}$ is $\underline{2}$

7. Match The Column:

Explanation:

8. Given an example of two irrational numbers whose;

Product is an irrational number $\sqrt{6} \times \sqrt{3}=\sqrt{6 \times 3}=\sqrt{18}=3 \sqrt{2}$

Difference is a irrational number $\sqrt{6}-\sqrt{3}$ = $\sqrt{3}$

Division is an irrational number $\dfrac{\sqrt{6}}{\sqrt{3}}=\sqrt{\dfrac{6}{3}}=\sqrt{2}$

9. Simplify; $(\sqrt{5}+\sqrt{6})(\sqrt{5}-\sqrt{6})$ 

We know that, $(a+b)(a-b)=a^2-b^2$

= $\left((\sqrt{5})^2-(\sqrt{6})^2\right)$

10. $\sqrt[3]{1331}-\sqrt{100}+\sqrt{81}$

= $\sqrt[3]{11^3}-\sqrt{10^2}+\sqrt{9^2}$

= $11-10+9$

11. $\dfrac{11^{\dfrac{1}{2}}}{11^{\dfrac{1}{4}}}$

$\dfrac{11^{\dfrac{1}{2}}}{11^{\dfrac{1}{4}}}=11^{\dfrac{1}{2}-\dfrac{1}{4}}$

$=11^{\dfrac{2-1}{4}}$

$=11^{\dfrac{1}{4}}$

12. Let, 

$p= 0.777…$ ....   (1)

Multiply both side in above equation 10

Then, 

$10p= 7.777…$ ….(2)

Subtracting equation (1) from (2), we get;

$10p-p= 7.777… - 0.777…$

$p= \dfrac{7}{9}$

13. Three rational number between $\dfrac{9}{11}$ and $\dfrac{5}{11}$

Rational number of $\dfrac{9}{11}$ and $\dfrac{5}{11}$ is denominator same

$= \dfrac{9}{11}, \dfrac{8}{11}, \dfrac{7}{11}, \dfrac{6}{11}, \dfrac{5}{11}$

14. $\dfrac{\sqrt{8}+\sqrt{12}}{\sqrt{32}+\sqrt{48}}$

$= \dfrac{\sqrt{2^3}+\sqrt{4 \times 3}}{\sqrt{8 \times 4}+\sqrt{8 \times 6}}$

$= \dfrac{2 \sqrt{2}+2 \sqrt{3}}{4 \sqrt{2}+4 \sqrt{3}}$

$= \dfrac{2(\sqrt{2}+\sqrt{3})}{4(\sqrt{2}+\sqrt{3})}$

$= \dfrac{(\sqrt{2}+\sqrt{3})}{2(\sqrt{2}+\sqrt{3})}$

$= \dfrac{1}{2}$

15. If $a=2$ and $b=3$

The value of $a^b+b^a$

$= 2^3+3^2$

16. $2^{\dfrac{2}{3}} \cdot 2^{\dfrac{1}{5}}$

$2^{\dfrac{2}{3}} \cdot 2^{\dfrac{1}{5}}=2^{\dfrac{2}{3}+\dfrac{1}{5}} \quad \because a^p \cdot a^q=a^{p+q}$

$=2^{\dfrac{10+3}{15}}$

$=2^{\dfrac{13}{15}}$

17. Value of $\dfrac{1}{a^b+b^a}$, where $a=5, b=2$

$= \dfrac{1}{5^2+2^5}$

$= \dfrac{1}{25+32}$

$= \dfrac{1}{57}$

18. Here we have : $\sqrt[3]{2}, \sqrt{3}, \sqrt[5]{5}$

We can also write the expression in simpler form as follows:

$2^{\dfrac{1}{3}}, 3^{\dfrac{1}{2}}, 5^{\dfrac{1}{6}}$

Now we can see that in the denominators of the exponents we have: $3,2,6$

We will now take the LCM of $3,2,6$, which is 6 .

Now we will make all the denominators equal to 6 , so we have to multiply by the multiples in both numerator and denominator.

We can write the numbers as:

$2^{\dfrac{1}{3}} \times \dfrac{2}{2}=2^{\dfrac{2}{6}}$

For the second number we can write:

$3 \dfrac{1}{2} \times \dfrac{3}{3}=3 \dfrac{3}{6}$

Since in the third number we already have the desired denominator, so the third number is

$5^{\dfrac{1}{6}}$

Now we will again write the numbers in the root under, but we have to keep in mind that the numerator will turn as the exponential powers inside the root.

So we have the numbers as:

$\sqrt[6]{2^2}, \sqrt[5]{3^3}, \sqrt[5]{5}$

We will simplify the values inside the root, so we have:

$\sqrt[5]{4}, \sqrt[6]{27}, \sqrt[5]{5}$

From this we can write the smaller value in the front and then the larger value:

$\sqrt[5]{4}, \sqrt[6]{5}, \sqrt[5]{27}$

Hence the original numbers in ascending form are:

$\sqrt[3]{2}, \sqrt[6]{5}, \sqrt{3}$

19. $(4 \sqrt{5}+3 \sqrt{7})^2$

We know that,

$(a+b)^2=a^2+b^2+2 a b$

$=(4 \sqrt{5})^2+(3 \sqrt{7})^2+2 \times (4 \sqrt{5}) (3 \sqrt{7})$

$=80+63+24 \sqrt{5 \times 7}$

$=143+24 \sqrt{35}$

20. $\left(\dfrac{y}{x}\right)^{2 a-8}=\left(\dfrac{x}{y}\right)^{a-1}$

$\left(\dfrac{y}{x}\right)^{2 a-8}=\left(\dfrac{x}{y}\right)^{8-2 a}$   $ \because (x)^{-a}=\dfrac{1}{x^a}$

$\left(\dfrac{x}{y}\right)^{8-2 a}=\left(\dfrac{x}{y}\right)^{a-1}$

When the bases of both sides of an equation are the same, then their exponents are also equal.

$\Rightarrow 8-2 a=a-1$

$\Rightarrow 2 a+a=8+1$

$\Rightarrow 3 a=9$

$\Rightarrow a=\dfrac{9}{3}$

$\Rightarrow a=3$

21. $\dfrac{1}{\sqrt{7}}=\dfrac{1}{\sqrt{7}} \times \dfrac{\sqrt{7}}{\sqrt{7}}$

(Dividing and multiplying by $\sqrt{7}$ )

$=\dfrac{\sqrt{7}}{7}$

22. Writing $\pi$ as $\dfrac{22}{7}$ is only an approximate value and so we can't conclude that it is in the form of a rational. In fact, the value of $\pi$ is calculating as non-terminating, non-recurring decimal as $\pi=3.14159$ Whereas

If we calculate the value of $\dfrac{22}{7}$ it gives $3.142857$ and hence $\pi \neq \dfrac{22}{7}$

In conclusion $\pi$ is an irrational number.

23. Let $x=0.001001 \ldots \ldots$ (1)

Since 3 digits are repeated multiply both the sides of (1) by 1000

$1000 x=1.001001 \ldots$

$1000 x=1+0.001001 \ldots$

$1000 x=1+x$

$1000 x-x=1$

$x=\dfrac{1}{999}$

$\therefore 0 . \overline{001}=\dfrac{1}{999}$

24. Since we make the denominator the same first, then

$\dfrac{3}{4}=\dfrac{3 \times 5}{4 \times 5}=\dfrac{15}{20}$

$\dfrac{4}{5}=\dfrac{4 \times 4}{5 \times 4}=\dfrac{16}{20}$

Now we need to find 5 rational no.

$\dfrac{15}{20}  =\dfrac{15 \times 6}{20 \times 6}=\dfrac{90}{120}$

$\dfrac{16}{20}=\dfrac{16 \times 6}{20 \times 6}=\dfrac{96}{120}$

$\therefore$ Five rational numbers between $\dfrac{3}{4}$ and $\dfrac{4}{5}$ are $\dfrac{91}{120}, \dfrac{92}{120}, \dfrac{93}{120}, \dfrac{94}{120}$ and $\dfrac{95}{120}$

25. We can find any number of rational numbers between two rational numbers. First of all, we make the denominators same by multiplying or dividing the given rational numbers by a suitable number. If denominator is already same then depending on number of rational no. we need to find in question, we add one and multiply the result by numerator and denominator.

$3=\dfrac{3 \times 7}{7} \text { and } \quad 4=\dfrac{4 \times 7}{7}$

$3=\dfrac{21}{7} \quad \text { and } \quad 4=\dfrac{28}{7}$

We can choose 6 rational numbers as: $\dfrac{22}{7}, \dfrac{23}{7}, \dfrac{24}{7}, \dfrac{25}{7}, \dfrac{26}{7}$ and $\dfrac{27}{7}$

Benefits of Learning Number System in Class 9 Chapter 1 Maths Worksheet The Class 9 Maths Chapter 1 worksheet pdf contains more than enough material to help students better understand what number systems are and how to solve them. The worksheets come with extensive questions, attempting to clear any doubts the students might have about the number system and their types.

The Maths assignment for Class 9 Number System list of questions and answers provide thorough insights on the topic’s resources and offers easy tricks to identify quicker ways to solve the questions faster while also being more aware and making sure students don’t go wrong or commit any silly mistakes in their solutions.

All of these worksheets have been developed by the best mathematicians and experienced arithmetic representatives who are very aware of the needs and requirements of the students of Class 9.

Examples of Usage of Number System for Class 9

These are a few examples of Maths assignments for Class 9 Number System exercises’ examples :

Answer the following.

Find two irrational numbers and two rational numbers between 0.7 and 0.77.

Every integer is not a whole number. True or false?

Find at least 7 rational numbers between 2 and 9.

Write down 4567 in the decimal and binary number systems.

Is 0 a rational number? State your reasons based on your answer.

Interesting Facts About Number System for Class 9

There are nine types of number systems in mathematics. They are :

Natural numbers

Whole numbers

Rational numbers

Irrational numbers

Real numbers

Imaginary numbers

Prime and composite numbers

Natural numbers are the root forms of numbers between 0 to infinity. They are also named “positive numbers” or “counting numbers” and are represented by the symbol N. (1, 2, 3, 4, 5 and so on)

Whole numbers are natural numbers, with the only difference being the inclusion of 0. They are represented by the symbol W. (0, 1, 2, 3, 4, 5 and so on)

Integers contain whole numbers and the negative values of natural numbers and don’t include fractions, so their numbers can’t be written in the “a/b” format. It ranges from infinity at the negative end to infinity at the positive end, including 0 and is represented by Z. (...-3, -2, -1, 0, 1, 2, 3… and so on)

Fractions are numbers written in the “a/b” format, where “a” (numerator) is a whole number, and “b” (denominator) is a natural number. Hence, the denominator can never be 0. (2/4, 0/10, 5/7, etc.)

Rational numbers can be written in fractions where “a” and “b” are both integers and b ≠ 0. All fractions are rational numbers, but all rational numbers are not fractions.(-5/9, 3/9, -8/14, etc)

Irrational numbers are numbers that can’t be written in fractional forms. (√8, √.127, √3.209, etc)

Real numbers can be written in decimals, including whole numbers, integers, fractions, etc. All integers belong to real numbers, but not all real numbers belong to integers. (1.25, 0.467, 8.9, etc.)

Imaginary numbers are not real numbers, resulting in negative numbers when squared or put together. They are also named complex numbers and are represented by the symbol i. (√-3, √-16, √-1, etc.)

Numbers that don’t have other factors except 1 are called prime numbers, and the rest of the numbers - except 0 - are called composite numbers, as 0 is neither a prime nor a composite number. ( 2, 3, 5… are prime numbers whereas 4, 6, 8… are composite numbers)

Other definitions and elaborated explanations will be provided in the operations on real numbers class 9 worksheet pdf and more .

Important Topics for Class 9 Number System

The important topics students will have to learn in the number system syllabus for Class 9 are as follows :

What are number systems, and how to solve them?

What are the four types of number systems?

How to convert one number system to another number system.

Solving the problems and choosing the correct answer.

Various other exercises in the Number System Class 9 worksheet

What does the PDF Consist of?

Most schools have syllabuses that don’t include just spoon-feeding the information to the students.

It only means that the students must learn by themselves, with the teachers guiding and aiding them throughout their learning process.

With technology being part of most school curriculums, a huge part of their assignments, tests, and worksheets are online, favoured as pdfs.

Vedantu’s pdf format is highly sought-after as it is used for creating, editing, highlighting, saving, and sharing content.

The worksheet for Class 9 Maths Chapter 1 with Solutions pdfs is free for download at Vedantu’s website.

Rest assured, all the worksheets adhere to the CBSE guidelines' strict, updated, and revised rules.

Many other Number Systems Class 9 worksheet pdfs are present at Vedantu’s platform, created by their own arithmetic subject matter experts, ensuring that the students receive the best training and exercises needed to test their skills and excel in their examinations.

FAQs on CBSE Class 9 Maths Worksheet Chapter 1 Number System

1. Which number system is frequently used?

The decimal number system is the most widely used.

2. How are the values of various figures calculated?

All these figures carry their values, and these values can be determined by: 

looking at the digit 

the position in the number 

the base of the number. 

3. Can rational numbers be whole numbers?

No, since rational numbers may be fractional and whole numbers are not.

Tug Multiplication

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Code Builder

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White Sox announce three roster moves

CHICAGO - Prior to today’s series finale vs. Boston, the Chicago White Sox made the following three roster moves:

• Optioned to Class AAA Charlotte (1): RHP Nick Nastrini;
• Contract Selected from Charlotte (1): LHP Sammy Peralta;
• Returned from Rehabilitation Assignment at Charlotte, Reinstated from 60-Day Injured List and Designated for Assignment (1): LHP Shane Drohan.

Nastrini, 24, posted a no decision in yesterday’s 6-1 victory over the Red Sox, allowing one run on two hits with five walks and five strikeouts over 4.1 IP. He is 0-5 with a 8.39 ERA (23 ER/24.2 IP) over six starts this season, his first in the major leagues.

Peralta, 26, has thrown 3.2 scoreless IP over three relief appearances with Charlotte this season, allowing no hits and no walks with five strikeouts since being reacquired off waivers from Seattle on May 26. He appeared in 16 games with the White Sox in 2023, going 2-0 with a 4.05 ERA (9 ER/20.0 IP) and 18 strikeouts.

Peralta will wear uniform No. 67.

Drohan, 25, began the season on the injured list following left shoulder nerve decompression surgery. He has appeared in 10 rehabilitation games with the Arizona Complex League White Sox, Class A Winston-Salem and Charlotte.

Drohan was claimed by the White Sox in the MLB phase of the Rule 5 Draft on December 6, 2023.

Following the moves, the White Sox 40-man roster is at 40.

• NCERT Exemplar
• Maths Exemplar Class 9
• Coordinate Geometry

NCERT Exemplar Class 9 Maths Solutions for Chapter 3 - Coordinate Geometry

Ncert exemplar solutions class 9 maths chapter 3 – free pdf download.

NCERT Exemplar Solutions Class 9 Maths Chapter 3 Coordinate Geometry are provided here in PDF for the students to access easily and prepare well for exams. They can make use of these exemplar solutions as a reference tool while practising the NCERT textbook exercise questions, as well. The exemplar problems with solutions are designed by the subject experts at BYJU’S in accordance with the CBSE Syllabus for 9th Standard , which covers the following topics of the chapter Coordinate Geometry:

• Cartesian system and coordinates of the points
• Plotting a point in XY plane, if its coordinates are given
• Horizontal axis and the vertical axis
• The intersection point of the axes, etc.

Coordinate Geometry is one of the most important chapters of CBSE Class 9 Maths. In this chapter, students will learn about the Cartesian System and plotting a point in the plane if its coordinates are given. Solve NCERT Exemplar for Class 9 Maths Chapter 3 Coordinate Geometry to understand the fundamentals in a better way. To promote easy learning and help students understand the concepts of Coordinate Geometry, free NCERT Exemplars are provided below, which can be downloaded in the form of a PDF.

Download the PDF of NCERT Exemplar Solutions for Class 9 Maths Chapter 3 – Coordinate Geometry

Access Answers to NCERT Exemplar Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

Exercise 3.1 Page No: 25

Write the correct answer in each of the following:

1. Point (–3, 5) lies in the

A. first quadrant

B. second quadrant

C. third quadrant D. fourth quadrant

B. Second Quadrant

Explanation:

(-3,5) is of form (-x,y).

In the point (-3, 5), the abscissa is negative, and the ordinate is positive. So, it lies in the second quadrant.

Hence, (B) is the correct option.

2. Signs of the abscissa and ordinate of a point in the second quadrant are, respectively

A. +, + B. –, – C. –, + D. +, –

Signs of the abscissa and ordinate of a point in the second quadrant is –, +.

Hence, (C) is the correct option.

3. Point (0, –7) lies

A. on the x-axis B. in the second quadrant C. on the y-axis D. in the fourth quadrant

C. on the y-axis

Since the abscissa is 0, Point (0, –7) lies on the y-axis.

4. Point (– 10, 0) lies

A. on the negative direction of the x-axis B. on the negative direction of the y-axis C. in the third quadrant D. in the fourth quadrant

A. on the negative direction of the x-axis

Point (– 10, 0) lies on the negative direction of the x-axis.

Hence, (A) is the correct option.

5. Abscissa of all the points on the x-axis is

A. 0 B. 1 C. 2 D. any number

D. any number

Abscissa of all the points on the x-axis can be any number.

Hence, (D) is the correct option.

6. Ordinate of all points on the x-axis is

A. 0 B. 1 C. – 1 D. any number

The ordinate of all the points on the x-axis is 0.

7. The point at which the two coordinate axes meet is called the

A. abscissa B. ordinate C. origin D. quadrant

Explanation :

The points at which the two coordinate axes meet is called the origin.

8. A point both of whose coordinates are negative will lie in

A. I quadrant B. II quadrant C. III quadrant D. IV quadrant

C. III quadrant

A point whose both of the coordinates are negative will lie in the III quadrant.

9. Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4)

A. lie in II quadrant B. lie in III quadrant C. lie in IV quadrant D. do not lie in the same quadrant

D. do not lie in the same quadrant

Points (1, – 1), (2, – 2), (4, – 5) lie in IV quadrant and (– 3, – 4) lie in III quadrant.

10. If y coordinate of a point is zero, then this point always lies

A. in I quadrant

B. in II quadrant

C. on x-axis

D. on y-axis

We know that if the y-coordinate of a point, i.e., the ordinate is zero, then this point always lies on

11. The points (–5, 2) and (2, – 5) lie in the

A. same quadrant B. II and III quadrants, respectively C. II and IV quadrants, respectively D. IV and II quadrants, respectively

(-5,2) is of the form (-x,y) so it lies in the II quadrant.

(2,-5) is of the form (x,-y) so it lies in IV quadrant.

(C) II and IV quadrants, respectively

12. If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies in the negative direction of the x-axis, then point P has

A. x – coordinate = – 5 B. y – coordinate = 5 only C. y – coordinate = – 5 only D. y – coordinate = 5 or –5

D. y – coordinate = 5 or –5

Perpendicular distance from x-axis = Ordinate = 5

The negative direction of the x-axis doesn’t decide the sign of the ordinate.

(D) y-coordinate = 5 or -5.

Exercise 3.2 Page No: 28

1. Write whether the following statements are True or False? Justify your answer.

(i) Point (3, 0) lies in the first quadrant.

(ii) Points (1, –1) and (–1, 1) lie in the same quadrant.

(iii) The coordinates of a point whose ordinate is – ½ and abscissa is 1 are – ½, 1.

(iv) A point lies on the y -axis at a distance of 2 units from the x -axis. Its coordinates are (2, 0).

(v) (–1, 7) is a point in the II quadrant.

Justification:

The ordinate of the point (3, 0) is zero.

Hence, the point lies on the x-axis

(1, -1) lies in IV quadrant

(-1, 1) lies in II quadrant.

(iii) The coordinates of a point whose ordinate is – ½ and abscissa is 1 are – ½ , 1.

The coordinates of a point whose ordinate is – ½ and abscissa is 1 is (1, -1/2).

A point lies on the y -axis at a distance of 2 units from the x -axis. Its coordinates are (0, 2).

(–1, 7) is a point in the II quadrant.

Exercise 3.3 Page No: 29

1. Write the coordinates of each of the points P, Q, R, S, T and O from Fig. 3.5.

The coordinates of the points P, Q, R, S, T and O are as follows:

Q = (-3, 0)

R = (-2, -3)

T = (4, -2)

2. Plot the following points and write the name of the figure obtained by joining them in order: P(– 3, 2), Q (– 7, – 3), R (6, – 3), S (2, 2)

The figure obtained is a Trapezium.

3. Plot the points (x, y) given by the following table:

4. Plot the following points and check whether they are collinear or not:

(i) (1, 3), (– 1, – 1), (– 2, – 3)

(ii) (1, 1), (2, – 3), (– 1, – 2)

(iii) (0, 0), (2, 2), (5, 5)

The points (1, 3), (– 1, – 1), (– 2, – 3) lie in a straight line,

Hence, the points are collinear.

The points (1, 1), (2, – 3), (– 1, – 2) lie in a straight line,

Hence, the points are not collinear.

The points (0, 0), (2, 2), (5, 5) lie in a straight line,

5. Without plotting the points, indicate the quadrant in which they will lie, if

(i) ordinate is 5 and abscissa is – 3 (ii) abscissa is – 5 and ordinate is – 3 (iii) abscissa is – 5 and ordinate is 3 (iv) ordinate is 5 and abscissa is 3

(i) The point is (-3,5).

Hence, the point lies in the II quadrant.

(ii) The point is (-5,-3).

Hence, the point lies in the III quadrant.

(iii) The point is (-5,3).

(iv) The point is (3,5).

Hence, the point lies in the I quadrant.

6. In Fig. 3.6, LM is a line parallel to the y-axis at a distance of 3 units.

(i) What are the coordinates of the points P, R and Q? (ii) What is the difference between the abscissa of points L and M?

(i) The coordinates are:

(ii) Since, all the points on the line have the same abscissa = 3.

The difference in abscissa of L and M = 0.

Exercise 3.4 Page No: 32

1. Points A (5, 3), B (–2, 3) and D (5, –4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.

From the graph, we get that,

The coordinates of C = (-2, -4).

2. Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units, respectively, with one vertex at the origin, the longer side lies on the x-axis, and one of the vertices lies in the third quadrant.

The coordinates of the points of the rectangle are (0, 0), (-5, 0), (-5, -3) and (0, -3).

BYJU’S also provides other learning resources, such as Exemplar books , NCERT solutions, notes and question papers, to make students of Class 9 prepare well for exams. Students are advised to solve sample papers and previous years’ question papers as well to get familiar with the type of questions asked from Maths Chapter 3 and the marks weightage for them.

Students of Class 9 can download BYJU’S – The Learning App to get personalised videos explaining different types of Maths topics, such as Coordinate Geometry and other chapter topics, as well as to experience a new way of learning to understand the concepts easily.

Frequently Asked Questions on NCERT Exemplar Solutions for Class 9 Maths Chapter 3

What are the topics discussed in chapter 3 of ncert exemplar solutions for class 9 maths as per the latest cbse syllabus, explain the cartesian system according to chapter 3 of ncert exemplar solutions for class 9 maths., what are the rules to plot a point in the coordinate plane in chapter 3 of ncert exemplar solutions for class 9 maths.

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NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry Ex 3.3

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry:

• Coordinate Geometry
• Introduction
• Cartesian System
• Plotting A Point In The Plane If Its Coordinates Are Given

Formulae Handbook for Class 9 Maths and Science Educational Loans in India

• Chapter 3 Coordinate Geometry NCERT Solutions Ex 3.1
• Chapter 3 Coordinate Geometry NCERT Solutions Ex 3.2
• Extra Questions for Coordinate Geometry

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry (निर्देशांक ज्यामिति) (Hindi Medium) Ex 3.3.

NCERT Solutions for Class 9 Maths

• Chapter 1 Number systems
• Chapter 2 Polynomials
• Chapter 3 Coordinate Geometry
• Chapter 4 Linear Equations in Two Variables
• Chapter 5 Introduction to Euclid 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 Areas and Volumes
• Chapter 14 Statistics
• Chapter 15 Probability
• Class 9 Maths (Download PDF)

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