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Class 9 Maths Case Study Questions Chapter 3 Coordinate Geometry

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Case study Questions in Class 9 Mathematics Chapter 3  are very important to solve for your exam. Class 9 Maths Chapter 3 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving  Class 9 Maths Case Study Questions  Chapter 3 Coordinate Geometry

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In CBSE Class 9 Maths Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Coordinate Geometry Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 9 Maths Chapter 3 Coordinate Geometry

Case Study/Passage-Based Questions

case study questions class 9 maths coordinate geometry pdf

Answer: (d) 2 units

(ii) How far is the library from Shaguns house?

Answer: (b) 2 units

(iii) How far is the library from Alia’s house?

Answer: (d) None of these

(iv) Which of the following is true?

Answer: (b) ABC forms an isosceles triangle

case study questions class 9 maths coordinate geometry pdf

Answer: (d) none of these

(ii) The distance of the bus stand from the house is

Answer: (b) 10 cm

(iii) If the grocery store and electrician’s shop lie on a line, the ratio of the distance of house from grocery store to that from electrician’s shop, is

Answer: (c) 1.2

(iv) The ratio of distances of the house from the bus stand to the food cart is

Answer: (c) 1.1

(v) The coordinates of positions of bus stand, grocery store, food cart, and electrician’s shop form a

Hope the information shed above regarding Case Study and Passage Based Questions for Class 9 Mathematics Chapter 3 Coordinate Geometry with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 9 Maths Coordinate Geometry Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

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CBSE Class 9 Maths Case Study Questions PDF Download

Download Class 9 Maths Case Study Questions to prepare for the upcoming CBSE Class 9 Exams 2023-24. These Case Study and Passage Based questions are published by the experts of CBSE Experts for the students of CBSE Class 9 so that they can score 100% in Exams.

case study questions class 9 maths coordinate geometry pdf

Case study questions play a pivotal role in enhancing students’ problem-solving skills. By presenting real-life scenarios, these questions encourage students to think beyond textbook formulas and apply mathematical concepts to practical situations. This approach not only strengthens their understanding of mathematical concepts but also develops their analytical thinking abilities.

Table of Contents

CBSE Class 9th MATHS: Chapterwise Case Study Questions

Inboard exams, students will find the questions based on assertion and reasoning. Also, there will be a few questions based on case studies. In that, a paragraph will be given, and then the MCQ questions based on it will be asked. For Class 9 Maths Case Study Questions, there would be 5 case-based sub-part questions, wherein a student has to attempt 4 sub-part questions.

Class 9 Maths Case Study Questions

Chapterwise Case Study Questions of Class 9 Maths

  • Case Study Questions for Chapter 1 Number System
  • Case Study Questions for Chapter 2 Polynomials
  • Case Study Questions for Chapter 3 Coordinate Geometry
  • Case Study Questions for Chapter 4 Linear Equations in Two Variables
  • Case Study Questions for Chapter 5 Introduction to Euclid’s Geometry
  • Case Study Questions for Chapter 6 Lines and Angles
  • Case Study Questions for Chapter 7 Triangles
  • Case Study Questions for Chapter 8 Quadrilaterals
  • Case Study Questions for Chapter 9 Areas of Parallelograms and Triangles
  • Case Study Questions for Chapter 10 Circles
  • Case Study Questions for Chapter 11 Constructions
  • Case Study Questions for Chapter 12 Heron’s Formula
  • Case Study Questions for Chapter 13 Surface Area and Volumes
  • Case Study Questions for Chapter 14 Statistics
  • Case Study Questions for Chapter 15 Probability

Checkout: Class 9 Science Case Study Questions

And for mathematical calculations, tap Math Calculators which are freely proposed to make use of by calculator-online.net

The above  Class 9 Maths Case Study Question s will help you to boost your scores as Case Study questions have been coming in your examinations. These CBSE Class 9 Maths Case Study Questions have been developed by experienced teachers of cbseexpert.com for the benefit of Class 10 students.

Class 9 Maths Syllabus 2023-24

case study questions class 9 maths coordinate geometry pdf

UNIT I: NUMBER SYSTEMS

1. REAL NUMBERS (18 Periods)

1. Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.

2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.

3. Definition of nth root of a real number.

4. Rationalization (with precise meaning) of real numbers of the type

jagran josh

(and their combinations) where x and y are natural number and a and b are integers.

5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)

UNIT II: ALGEBRA

1. POLYNOMIALS (26 Periods)

Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem. Recall of algebraic expressions and identities. Verification of identities:

RELATED STORIES

jagran josh

and their use in factorization of polynomials.

2. LINEAR EQUATIONS IN TWO VARIABLES (16 Periods)

Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c=0.Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

UNIT III: COORDINATE GEOMETRY COORDINATE GEOMETRY (7 Periods)

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.

UNIT IV: GEOMETRY

1. INTRODUCTION TO EUCLID’S GEOMETRY (7 Periods)

History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example: (Axiom)

1. Given two distinct points, there exists one and only one line through them. (Theorem)

2. (Prove) Two distinct lines cannot have more than one point in common.

2. LINES AND ANGLES (15 Periods)

1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O and the converse.

2. (Prove) If two lines intersect, vertically opposite angles are equal.

3. (Motivate) Lines which are parallel to a given line are parallel.

3. TRIANGLES (22 Periods)

1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).

2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence).

3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).

4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)

5. (Prove) The angles opposite to equal sides of a triangle are equal.

6. (Motivate) The sides opposite to equal angles of a triangle are equal.

4. QUADRILATERALS (13 Periods)

1. (Prove) The diagonal divides a parallelogram into two congruent triangles.

2. (Motivate) In a parallelogram opposite sides are equal, and conversely.

3. (Motivate) In a parallelogram opposite angles are equal, and conversely.

4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.

5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.

6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.

5. CIRCLES (17 Periods)

1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.

2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.

3. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.

4. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

5. (Motivate) Angles in the same segment of a circle are equal.

6. (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.

7. (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.

UNIT V: MENSURATION 1.

1. AREAS (5 Periods)

Area of a triangle using Heron’s formula (without proof)

2. SURFACE AREAS AND VOLUMES (17 Periods)

Surface areas and volumes of spheres (including hemispheres) and right circular cones.

UNIT VI: STATISTICS & PROBABILITY

STATISTICS (15 Periods)

 Bar graphs, histograms (with varying base lengths), and frequency polygons.

To crack case study questions, Class 9 Mathematics students need to apply their mathematical knowledge to real-life situations. They should first read the question carefully and identify the key information. They should then identify the relevant mathematical concepts that can be applied to solve the question. Once they have done this, they can start solving the Class 9 Mathematics case study question.

Benefits of Practicing CBSE Class 9 Maths Case Study Questions

Regular practice of CBSE Class 9 Maths case study questions offers several benefits to students. Some of the key advantages include:

  • Deeper Understanding : Case study questions foster a deeper understanding of mathematical concepts by connecting them to real-world scenarios. This improves retention and comprehension.
  • Practical Application : Students learn to apply mathematical concepts to practical situations, preparing them for real-life problem-solving beyond the classroom.
  • Critical Thinking : Case study questions require students to think critically, analyze data, and devise appropriate solutions. This nurtures their critical thinking abilities, which are valuable in various academic and professional domains.
  • Exam Readiness : By practicing case study questions, students become familiar with the question format and gain confidence in their problem-solving abilities. This enhances their readiness for CBSE Class 9 Maths exams.
  • Holistic Development: Solving case study questions cultivates not only mathematical skills but also essential life skills like analytical thinking, decision-making, and effective communication.

Tips to Solve CBSE Class 9 Maths Case Study Questions Effectively

Solving case study questions can be challenging, but with the right approach, you can excel. Here are some tips to enhance your problem-solving skills:

  • Read the case study thoroughly and understand the problem statement before attempting to solve it.
  • Identify the relevant data and extract the necessary information for your solution.
  • Break down complex problems into smaller, manageable parts to simplify the solution process.
  • Apply the appropriate mathematical concepts and formulas, ensuring a solid understanding of their principles.
  • Clearly communicate your solution approach, including the steps followed, calculations made, and reasoning behind your choices.
  • Practice regularly to familiarize yourself with different types of case study questions and enhance your problem-solving speed.Class 9 Maths Case Study Questions

Remember, solving case study questions is not just about finding the correct answer but also about demonstrating a logical and systematic approach. Now, let’s explore some resources that can aid your preparation for CBSE Class 9 Maths case study questions.

Q1. Are case study questions included in the Class 9 Maths Case Study Questions syllabus?

Yes, case study questions are an integral part of the CBSE Class 9 Maths syllabus. They are designed to enhance problem-solving skills and encourage the application of mathematical concepts to real-life scenarios.

Q2. How can solving case study questions benefit students ?

Solving case study questions enhances students’ problem-solving skills, analytical thinking, and decision-making abilities. It also bridges the gap between theoretical knowledge and practical application, making mathematics more relevant and engaging.

Q3. How do case study questions help in exam preparation?

Case study questions help in exam preparation by familiarizing students with the question format, improving analytical thinking skills, and developing a systematic approach to problem-solving. Regular practice of case study questions enhances exam readiness and boosts confidence in solving such questions.

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Case Study Questions for Class 9 Maths Chapter 3 Coordinate Geometry

  • Last modified on: 1 year ago
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Case Study Questions

Question 1:

Saumya has to reach her office every day at 10:00 am. On the way to her office, she drops her son at school. Now, the location of Saumya’s house, her son’s school and her office are represented by the map below. Using the details given, answer the following questions.

case study questions class 9 maths coordinate geometry pdf

Q1. Find the coordinates of Saumya’s home. (a) (1, 4) (b) (4, 1) (c) (7, 1) (d) (1, 7)

Q2. Find the coordinates of Saumya’s office. (a) (7, 5) (b) (5, 7) (c) (7, 1) (d) (1, 7)

Q3. Find the coordinates of Saumya’s son’s school. (a) (1, 4) (b) (4, 1) (c) (7, 1) (d) (1, 7)

Q4. Find the distance between Saumya’s home and her son’s school. (a) 7km (b) 4km (c) 3km (d) 1km

Q5. Find the distance between Saumya’s office and her son’s school. (a) 7km (b) 4km (c) 3km (d) 1km

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CBSE Class 9th Maths 2023 : 30 Most Important Case Study Questions with Answers; Download PDF

CBSE Class 9th Maths 2023 : 30 Most Important Case Study Questions with Answers; Download PDF

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CBSE Class 9 Maths exam 2022-23 will have a set of questions based on case studies in the form of MCQs. CBSE Class 9 Maths Question Bank on Case Studies given in this article can be very helpful in understanding the new format of questions.

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case study questions class 9 maths coordinate geometry pdf

9th Standard CBSE

Class 9th Maths - Coordinate Geometry Case Study Questions and Answers 2022 - 2023

case study questions class 9 maths coordinate geometry pdf

Class 9th Maths - Coordinate Geometry Case Study Questions and Answers 2022 - 2023 Study Materials Sep-08 , 2022

QB365 provides a detailed and simple solution for every Possible Case Study Questions in Class 9th Maths Subject - Coordinate Geometry, CBSE. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.

case study questions class 9 maths coordinate geometry pdf

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Coordinate geometry case study questions with answer key.

Final Semester - June 2015

case study questions class 9 maths coordinate geometry pdf

(b) What are the coordinates of C and D respectively?

(c) What is the distance between B and D?

(d) What is the distance between A and C?

(e) What are the coordinates of the point of intersection of AC and BD?

case study questions class 9 maths coordinate geometry pdf

(ii) What are the coordinates of Police Station?

(iii) Distance between school and police station:

(iv) What are the coordinates of Library?

(v) In which quadrant the point (-1, 4) lies?  

case study questions class 9 maths coordinate geometry pdf

(b) What are the coordinates of A and B respectively?

(c) The coordinates of point O in the sketch -2 is

(d) The point on the y-axis ( in sketch 2) which is equidistant from the points B and C is 

(e) The point on the x-axis ( in sketch 2) which is equidistant from the points C and D is

case study questions class 9 maths coordinate geometry pdf

(b) What are the coordinates of R, taking A as origin?

(c) Side of lawn is :

(d) Shape of lawn is :

(e) Area of lawn is :

case study questions class 9 maths coordinate geometry pdf

(ii) What are the coordinates of position 'D'?

(iii) What are the coordinates of position 'H'?

(iv) In which quadrant, the point 'C' lie?

(v) Find the perpendicular distance of the point E from the y-axis.

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NCERT Solutions Class 9 Maths Chapter 3 Coordinate Geometry

NCERT solutions for class 9 maths chapter 3 coordinate geometry is significantly important in establishing a connection between algebra and geometry. Thus, it is highly important that every student should have a clear understanding of this topic. These chapters comprise exercises based on locating the position of objects on a two-dimensional plane. Additionally, it includes questions covering the cartesian system and plotting points on the plane with provided coordinates. NCERT solutions class 9 maths chapter 3 coordinate geometry covers all the important concepts required to be studied under this topic with suitable examples.

The first exercises in these class 9 maths chapter 3 coordinate geometry explain the representation of objects on a plane along with the revision of concepts studied in the previous classes with suitable examples. Sample problems covered in the Class 9 maths NCERT solutions chapter 3 coordinate geometry are sufficient for students to gain an in-depth understanding of applying these concepts. You can find some of these in the exercises given below.

  • NCERT Solutions Class 9 Maths Chapter 3 Ex 3.1
  • NCERT Solutions Class 9 Maths Chapter 3 Ex 3.2
  • NCERT Solutions Class 9 Maths Chapter 3 Ex 3.3

NCERT Solutions for Class 9 Maths Chapter 3 PDF

NCERT solutions for class 9 maths are prepared by experts to provide the best math learning with the complete math syllabus. Students can easily prepare and revise with these NCERT solutions to excel in their exams. The NCERT solutions class 9 maths are also available in a free downloadable pdf format as given below.

☛ Download Class 9 Maths NCERT Solutions Chapter 3

NCERT Class 9 Maths Chapter 3   Download PDF

NCERT Solutions Class 9 Math Chapter 3 Co Ordinate Geometry 1

NCERT Solutions for Class 9 Chapter 3 Coordinate Geometry

With a thorough practice of the above exercises, students will attain the right approach required for mapping points, drawing graphs of lines and curves. The regular practice of these exercises will also guide the students through the type of questions and the step-wise solution to each of them. The exercise-wise detailed analysis of NCERT Solutions Class 9 Maths Chapter 3 Coordinate Geometry is given below.

  • Class 9 Maths Chapter 3 Ex 3.1 - 2 Questions
  • Class 9 Maths Chapter 3 Ex 3.2 - 2 Questions
  • Class 9 Maths Chapter 3 Ex 3.3 - 2 Questions

☛ Download Class 9 Maths Chapter 3 NCERT Book

Topics Covered: The important topics covered in this chapter are an introduction to coordinate geometry , cartesian system , plotting a point in the plane for given coordinates. Other sub-topics included in these class 9 maths NCERT solutions chapter 3 are locating an object or line on a plane, plotting points or objects on a cartesian plane, and graphing .

Total Questions: Class 9 maths chapter 3 coordinate geometry consists of a total of 6 questions, of which two are easy, two are moderate with sub-questions and two are long answer type questions.

List of Formulas in NCERT Solutions Class 9 Maths Chapter 3

NCERT solutions class 9 maths chapter 3 covers important concepts based on coordinates and cartesian planes required to strengthen the basic math foundation in students to learn the complex geometry concepts in higher grades. Some important concepts in NCERT solutions for class 9 maths chapter 3 are about:

  • Cartesian Coordinates
  • Locating Coordinate Points on a Plane
  • Plotting Coordinate Points on a Plane

Important Questions for Class 9 Maths NCERT Solutions Chapter 3

Video solutions for class 9 maths ncert chapter 3, faqs on ncert solutions class 9 maths chapter 3, what is the importance of ncert solutions class 9 maths chapter 3 coordinate geometry.

NCERT Solutions Class 9 Maths Chapter 3 deals with coordinates and their concepts that are highly important to strengthen the basic knowledge of students. This type of in-depth learning helps students to score well in their examinations. NCERT solutions are a great resource to build a strong mathematical foundation in students.

Do I Need to Practice all Questions Provided in Class 9 Maths NCERT Solutions Coordinate Geometry?

Most questions in the NCERT Solutions Class 9 Maths Chapter 3 coordinate geometry are important. Questions based on the representation of objects on the two-dimensional plane and finding the location of points on the plane are some of the topics required to be studied efficiently. By practicing all the questions provided in the NCERT Solutions Class 9 Maths coordinate geometry, students can easily understand this topic in detail.

What are the Important Topics Covered in NCERT Solutions for Class 9 Maths Chapter 3?

The important sub-topics covered in NCERT Solutions Class 9 Maths Chapter 3 are the cartesian system, plotting points in the plane with given coordinates, and finding the coordinates of a point. NCERT solutions class 9 Maths Chapter 3 coordinate geometry is very well structured to include all the important topics as well as sub-topics for students to learn better from an exam point of view.

How Many Questions are there in NCERT Solutions Class 9 Maths Coordinate Geometry?

There are a total of 6 questions in NCERT class 9 maths chapter 3 coordinate geometry carefully paced to provide a gradual understanding of the context of the theory. These six questions can be subcategorized into long answer types and short answer types that require well-planned learning.

What are the Important Formulas in NCERT Solutions Class 9 Maths Chapter 3?

The important concepts covered in the NCERT Solutions class 9 maths chapter 3 are based on understanding two-dimensional planes, cartesian coordinates, representation of objects on planes, etc. These concepts are also important for students to acquire a clear understanding of applying coordinate geometry in real-life situations.

Why Should I Practice NCERT Solutions Class 9 Maths Chapter 3?

Practicing NCERT Solutions Class 9 Maths coordinate geometry chapter 3 can help to develop excellent geometry skills in students. It also aids in enhancing the practical knowledge of students to learn the real-life application of math. While practicing coordinate geometry, ensure to apply all the tips mentioned in the NCERT solutions.

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CBSE Class 9 Mathematics Case Study Questions

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Significance of Mathematics in Class 9

Mathematics is an important subject for students of all ages. It helps students to develop problem-solving and critical-thinking skills, and to think logically and creatively. In addition, mathematics is essential for understanding and using many other subjects, such as science, engineering, and finance.

CBSE Class 9 is an important year for students, as it is the foundation year for the Class 10 board exams. In Class 9, students learn many important concepts in mathematics that will help them to succeed in their board exams and in their future studies. Therefore, it is essential for students to understand and master the concepts taught in Class 9 Mathematics .

Case studies in Class 9 Mathematics

A case study in mathematics is a detailed analysis of a particular mathematical problem or situation. Case studies are often used to examine the relationship between theory and practice, and to explore the connections between different areas of mathematics. Often, a case study will focus on a single problem or situation and will use a variety of methods to examine it. These methods may include algebraic, geometric, and/or statistical analysis.

Example of Case study questions in Class 9 Mathematics

The Central Board of Secondary Education (CBSE) has included case study questions in the Class 9 Mathematics paper. This means that Class 9 Mathematics students will have to solve questions based on real-life scenarios. This is a departure from the usual theoretical questions that are asked in Class 9 Mathematics exams.

The following are some examples of case study questions from Class 9 Mathematics:

Class 9 Mathematics Case study question 1

There is a square park ABCD in the middle of Saket colony in Delhi. Four children Deepak, Ashok, Arjun and Deepa went to play with their balls. The colour of the ball of Ashok, Deepak,  Arjun and Deepa are red, blue, yellow and green respectively. All four children roll their ball from centre point O in the direction of   XOY, X’OY, X’OY’ and XOY’ . Their balls stopped as shown in the above image.

Answer the following questions:

Answer Key:

Class 9 Mathematics Case study question 2

  • Now he told Raju to draw another line CD as in the figure
  • The teacher told Ajay to mark  ∠ AOD  as 2z
  • Suraj was told to mark  ∠ AOC as 4y
  • Clive Made and angle  ∠ COE = 60°
  • Peter marked  ∠ BOE and  ∠ BOD as y and x respectively

Now answer the following questions:

  • 2y + z = 90°
  • 2y + z = 180°
  • 4y + 2z = 120°
  • (a) 2y + z = 90°

Class 9 Mathematics Case study question 3

  • (a) 31.6 m²
  • (c) 513.3 m³
  • (b) 422.4 m²

Class 9 Mathematics Case study question 4

How to Answer Class 9 Mathematics Case study questions

To crack case study questions, Class 9 Mathematics students need to apply their mathematical knowledge to real-life situations. They should first read the question carefully and identify the key information. They should then identify the relevant mathematical concepts that can be applied to solve the question. Once they have done this, they can start solving the Class 9 Mathematics case study question.

Students need to be careful while solving the Class 9 Mathematics case study questions. They should not make any assumptions and should always check their answers. If they are stuck on a question, they should take a break and come back to it later. With some practice, the Class 9 Mathematics students will be able to crack case study questions with ease.

Class 9 Mathematics Curriculum at Glance

At the secondary level, the curriculum focuses on improving students’ ability to use Mathematics to solve real-world problems and to study the subject as a separate discipline. Students are expected to learn how to solve issues using algebraic approaches and how to apply their understanding of simple trigonometry to height and distance problems. Experimenting with numbers and geometric forms, making hypotheses, and validating them with more observations are all part of Math learning at this level.

The suggested curriculum covers number systems, algebra, geometry, trigonometry, mensuration, statistics, graphing, and coordinate geometry, among other topics. Math should be taught through activities that include the use of concrete materials, models, patterns, charts, photographs, posters, and other visual aids.

CBSE Class 9 Mathematics (Code No. 041)

Class 9 Mathematics question paper design

The CBSE Class 9 mathematics question paper design is intended to measure students’ grasp of the subject’s fundamental ideas. The paper will put their problem-solving and analytical skills to the test. Class 9 mathematics students are advised to go through the question paper pattern thoroughly before they start preparing for their examinations. This will help them understand the paper better and enable them to score maximum marks. Refer to the given Class 9 Mathematics question paper design.

QUESTION PAPER DESIGN (CLASS 9 MATHEMATICS)

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Class 9 is an important milestone in a student’s life. It is the last year of high school and the last chance to score well in the CBSE board exams. myCBSEguide is the perfect platform for students to get started on their preparations for Class 9 Mathematics. myCBSEguide provides comprehensive study material for all subjects, including practice questions, sample papers, case study questions and mock tests. It also offers tips and tricks on how to score well in exams. myCBSEguide is the perfect door to enter for class 9 CBSE preparations.

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14 thoughts on “CBSE Class 9 Mathematics Case Study Questions”

This method is not easy for me

aarti and rashika are two classmates. due to exams approaching in some days both decided to study together. during revision hour both find difficulties and they solved each other’s problems. aarti explains simplification of 2+ ?2 by rationalising the denominator and rashika explains 4+ ?2 simplification of (v10-?5)(v10+ ?5) by using the identity (a – b)(a+b). based on above information, answer the following questions: 1) what is the rationalising factor of the denominator of 2+ ?2 a) 2-?2 b) 2?2 c) 2+ ?2 by rationalising the denominator of aarti got the answer d) a) 4+3?2 b) 3+?2 c) 3-?2 4+ ?2 2+ ?2 d) 2-?3 the identity applied to solve (?10-?5) (v10+ ?5) is a) (a+b)(a – b) = (a – b)² c) (a – b)(a+b) = a² – b² d) (a-b)(a+b)=2(a² + b²) ii) b) (a+b)(a – b) = (a + b

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  • Coordinate Geometry Class 9 Notes CBSE Maths Chapter 3 (Free PDF Download)
  • Revision Notes

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Class 9 Maths Revision Notes for Coordinate Geometry of Chapter 3 - Free PDF Download

Using Class 9 Mathematics Chapter 3 Coordinate Geometry review notes is an excellent technique to revise the complete chapter in less time during the test. During last-minute test preparation, CBSE Class 9 students may find it challenging to focus on the crucial subjects of the chapter. Keeping this in mind, Vedantu has created CBSE Class 9 Mathematics Chapter 3 revision notes. This article contains Coordinate Geometry notes for Class 9 in pdf format to assist students in better and faster preparation for the chapter.

These notes cover all the major topics of the Chapter 3 of NCERT Class 9 Maths textbook. Studying it helps you to gain a  thorough understanding of the concepts. Referring to these CBSE Class 9 Maths Chapter 3 notes, students can build up knowledge on various aspects such as the Cartesian System and how to plot points in the plane if its coordinates are given.

Topics Covered in Class 9 Maths Chapter 3 Coordinate Geometry

Introduction to Coordinate Geometry

Cartesian System

Plotting A Point in the Plane If Its Coordinates are Given

Download CBSE Class 9 Maths Revision Notes 2024-25 PDF

Also, check CBSE Class 9 Maths revision notes for all chapters:

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Access Class 9 Maths Chapter 3 - Coordinate Geometry Notes

Coordinate geometry is a subject of mathematics that bridges the gap between algebra and geometry.

With the use of algebra, we describe a variety of geometrical relationships.

Coordinate Axes:

Coordinate axes are formed when two perpendicular lines, \[\text{XOX }\!\!'\!\!\text{ }\] and \[\text{YOY }\!\!'\!\!\text{ }\] , connect at the point \[\text{O}\].

The origin that is point \[\text{O}\] is the starting point for measuring distances.

The plane is divided into four quadrants by the axes, numbered as \[\text{I, II , III}\] and \[\text{IV}\].

The plane is known as the Cartesian plane, coordinate plane, or \[\text{XY}\] - plane.

The Cartesian plane is the plane that contains the axes.

The lines \[\text{XOX }\!\!'\!\!\text{ }\] and \[\text{YOY }\!\!'\!\!\text{ }\] are known as the \[\text{x}\] -axis and \[\text{y}\] -axis, respectively, and are normally drawn horizontally and vertically.

The origin is defined as the point \[\text{O}\] where two axes connect.

Abscissae are the values of \[\text{x}\] measured along the \[\text{x}\] - axis from \[\text{O}\]. 

As seen in the image, the values of \[\text{x}\] are positive along \[\text{OX}\] and negative along \[\text{OX }\!\!'\!\!\text{ }\].

Similarly, the values of \[\text{y}\] are called ordinates because they are measured from \[\text{O}\] along the \[\text{y}\] - axis.

As seen in the picture, the values of  \[\text{y}\] are positive along \[\text{OY}\] and negative along \[\text{OY }\!\!'\!\!\text{ }\].

When we express a point's abscissa and ordinate as (abscissa, ordinate), we get its coordinates.

seo images

If a point's abscissa is $6$ and its ordinate is $2$ ,the point’s coordinates are expressed as $\left( 6,2 \right)$.

Assume that \[\text{A}\] is a point on the plane. \[\text{AC}\bot \text{XOX }\!\!'\!\!\text{ }\] and \[\text{AB}\bot \text{YOY }\!\!'\!\!\text{ }\]should be drawn.

The ordered pair \[\left( \text{x,y} \right)\] is said to define the point \[\text{A}\] if \[\text{OC=x}\] and \[\text{OB=y}\].

\[\text{A}\]'s Cartesian coordinates are also known as \[\text{x}\] and \[\text{y}\].

As a result, we can associate an ordered pair \[\left( \text{x,y} \right)\] of real numbers with each point in the plane.

We can, on the other hand, map a point in the plane given an ordered pair of numbers.

seo images

If $\text{x}\ne \text{y}$, then the location of $\left( \text{x,y} \right)$ in the Cartesian plane differs from the position of $\left( \text{y,x} \right)$.

As a result, if we swap the $\text{x}$ and $\text{y}$ coordinates, the position of  $\left( \text{y,x} \right)$will be different from that of $\left( \text{x,y} \right)$. This indicates that the sequence in which $\text{x}$ and $\text{y}$ appear is crucial $\left( \text{x,y} \right)$.

$\left( \text{x,y} \right)$ is referred to as an ordered pair.

The ordered pair  $\left( \text{x,y} \right)\ne $ ordered pair $\left( \text{y,x} \right)$.

Coordinate Geometry Class 9 Notes – A Short Synopsis

We provide the students with the option of Class 9 Maths Chapter 3 PDF download. This makes it feasible for the students to revise the syllabus easily in an offline format. Moreover, it eliminates the hassle of surfing the web every time the students plan on studying. Students can download the Chapter 3 Maths Class 9 Notes through the Vedantu website, and get their studies going easily. It is also a good option for students during their group studies.

Notes of Coordinate Geometry: Topics Covered

The notes of Class 9 Maths Chapter 3 cover the following topics:

Cartesian System and the terms along with it

Coordinate geometry and its definition

Relationship between the signs of the coordinates of a given point, further describing the quadrant in which the point lies

Locating the point in the plane when the coordinates of the point are given

Plotting of the points in the cartesian plane

Class 9 Coordinate Geometry Notes

Cartesian plane.

It is defined as two number lines that are perpendicular to each other, known as the x-axis and y-axis. The horizontal line is called the x-axis and the vertical line is called the y-axis. These lines combined together are called the coordinate axes. Further, the cartesian plane can be extended infinitely towards all directions.

The point at which both the axes intersect perpendicularly is called the origin. The intersection of these axes takes place at right angles.

The cartesian plane above mentioned is divided into four parts, namely, quadrants. The quadrants are named I, II, III and IV and are in the anti-clockwise order. It starts with the upper right corner.

(image to be added soon)

Signs of Points In Different Coordinates in The Cartesian Plane

The signs of the points placed in different quadrants across a cartesian plane are as follows:

Quadrant: x-coordinate is positive and y-coordinate is positive. For e.g., (+2,+3)

Quadrant: x-coordinate is negative and y-coordinate is positive. For e.g., (-2,+3)

Quadrant: x-coordinate is negative and y-coordinate is negative. For e.g., (-2,-3)

Quadrant: x-coordinate is positive and y-coordinate is negative. For e.g., (+2,-3)

Plotting of Points on a Graph

The plotting of points on a given graph can be done easily in the plane with an ordered number of pairs by using the coordinate axes. If a point A is given with the coordinates (x,y), then, x is the abscissa and y is the ordinate.

(Image to be added soon)

How to Plot A Point on The Cartesian Plane? 

The location of a point in the cartesian plane is defined using the coordinate points. The x-point represents the point at which it lies on the horizontal axis, while the y-point represents the point at which it lies on the vertical axis.

Consider the point (-1,-2). This point is 1 unit away from the negative x-axis and similarly, -2 is 2 units away from the negative y-axis. The other points can be easily plotted in a similar manner. 

While plotting the points, the students need to take special note of the unit they are following for the respective axes and they must then plot the points accordingly. 

Notes of Coordinate Geometry Class 9 - How Will they Help?

The Class 9 Mathematics test is worth 80 points. Coordinate geometry receives 6 points out of this total. This chapter is usually about 2-3 questions. Based on the mark distribution, they might be short or extensive replies. This chapter is simple and easy to finish. As a result, it is prudent for pupils to grasp and comprehend its principles thoroughly. This will help them receive full credit for this chapter.

Moreover, the additional point is that this chapter is interesting because the students can learn the concepts easily using a practical approach. You can always check the notes that we provide. They comprehensively cover all the key topics and questions involved in the chapter. This further makes the learning and revision process easier.

Why Choose Vedantu Class 9 Coordinate Geometry Notes?

Here are some of the key reasons why you must choose Vedantu notes:

These notes are designed to inculcate the right attitude of study towards the students. 

It allows the students to clarify the fundamentals of the chapter.

The notes help students to identify the important pointers to learn for the exams.

Referring to the revision notes helps students to organise their learning.

Once students download the PDF, they can revise the important formulas and concepts of the chapter anytime and from anywhere.

Important Question for Practice

Find minimum 3 solutions for the following linear equations in two variables:

2x - 3y = -11.

Find 4 solutions for the equation 12x + 5y = 0.

Plot the following points and determine whether they are collinear or not:

(1, 3), (– 1, – 1), (– 2, – 3)

Points P (5, 3), Q (–2, 3), and S (5, –4) are three vertices of a square PQRS. Plot these points on a graph paper and hence find the coordinates of the vertex R.

Locate the following points in the cartesian plane:

(5, 0), (0, 5), (2, 5), (5, 2), (–3, 5), (–3, –5), (5, –3), and (6, 1).

Coordinate Geometry is perhaps one of the more straightforward topics in the Class 9 curriculum. We use a step-by-step approach to the solutions to help students comprehend the ideas and be more interested in studying. Diagrams are supplied alongside for a better understanding of the concepts. We make certain that pupils get the knowledge promptly. These notes aid pupils in their preparation for Class 9 Mathematics and other competitive examinations. We suggest students to review the concepts on a frequent basis in order to remove their concerns and do better in the exams. Our specialists create these notes to assist students in achieving high scores in Class 9 Mathematics.

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FAQs on Coordinate Geometry Class 9 Notes CBSE Maths Chapter 3 (Free PDF Download)

1. If a point (-8,4) is given, In which quadrant does it lie?

It lies in the 2nd quadrant.

2. What are abscissa and ordinate?

The distance of a given point from the y-axis is said to be its abscissa and the distance of a given point from the x-axis is said to be its ordinate. 

3. At how many is it possible that the x-axis and y-axis can meet?

The x-axis and y-axis can meet only at one point and it is called the origin.

4. Write down the coordinates of the origin.

The coordinates of the origin are given by (0,0).

5. Why do we use a number line?

We use a number line to represent the numbers by marking points on a line at equal distances. With 0 being at the origin, if one unit distance represents the number 1, then 3 unit distance will represent the number 3.

STUDY MATERIALS FOR CLASS 9

case study questions class 9 maths coordinate geometry pdf

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry are provided here. Our NCERT Maths solutions contain all the questions of the NCERT textbook that are solved and explained beautifully. Here you will get complete NCERT Solutions for Class 9 Maths Chapter 3 all exercises Exercise in one place. These solutions are prepared by the subject experts and as per the latest NCERT syllabus and guidelines. CBSE Class 9 Students who wish to score good marks in the maths exam must practice these questions regularly.

Class 9 Maths Chapter 3 Coordinate Geometry NCERT Solutions

Below we have provided the solutions of each exercise of the chapter. Go through the links to access the solutions of exercises you want. You should also check out our NCERT Class 9 Solutions for other subjects to score good marks in the exams.

NCERT Solutions for Class 9 Maths Chapter 3 Exercise 3.1

NCERT Solutions for Class 9 Maths Chapter 3 Corrdinate Geometry Exercise 3.1

NCERT Solutions for Class 9 Maths Chapter 3 Exercise 3.2

NCERT Solutions for Class 9 Maths Chapter 3 Corrdinate Geometry Exercise 3.2

NCERT Solutions for Class 9 Maths Chapter 3 Exercise 3.3

NCERT Solutions for Class 9 Maths Chapter 3 Corrdinate Geometry Exercise 3.3

NCERT Solutions for Class 9 Maths Chapter 3 – Topic Discussion

Below we have listed the topics that have been discussed in this chapter.

  • Cartesian System
  • Plotting a Point in the Plane if its Coordinates are Given

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CBSE MCQ for Class 9 Maths Chapter 3 Coordinate Geometry Free PDF

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Guys, we are working very hard to provide you with TOPIC-WISE MCQs (as listed below). Till then, attached below is the Master PDF having all the topics. Hope you understand. Enjoy your preparation! All the Best!

CBSE MCQ for Class 9 Maths Chapter 3 Coordinate Geometry PDF

The CBSE MCQ for Class 9 Maths Chapter 3 Coordinate Geometry  are provided above, in detailed and free to download PDF format. The solutions are latest , comprehensive , confidence inspiring , with easy to understand explanation . To download NCERT Class 9 Solutions PDF for Free, just click ‘ Download pdf ’.

Other MCQ Questions for Maths Class 9th CBSE

  • CBSE MCQ for Class 9 Maths Chapter 1 Number System
  • CBSE MCQ for Class 9 Maths Chapter 2 Polynomials
  • CBSE MCQ for Class 9 Maths Chapter 4 Linear Equations in Two Variables
  • CBSE MCQ for Class 9 Maths Chapter 5 Euclid’s Geometry

How should I study for my upcoming exams?

First, learn to sit for at least 2 hours at a stretch

Solve every question of NCERT by hand, without looking at the solution.

Solve NCERT Exemplar (if available)

Sit through chapter wise FULLY INVIGILATED TESTS

Practice MCQ Questions (Very Important)

Practice Assertion Reason & Case Study Based Questions

Sit through FULLY INVIGILATED TESTS involving MCQs. Assertion reason & Case Study Based Questions

After Completing everything mentioned above, Sit for atleast 6 full syllabus TESTS.

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  • Class 9 Maths MCQs
  • Chapter 3 Coordinate Geometry Mcq

Class 9 Maths Chapter 3 Coordinate Geometry MCQs

Class 9 Maths Chapter 3 Coordinate Geometry MCQs   are available here online. The objective questions are provided with their respective answers and detailed explanations. The Coordinate Geometry MCQs are prepared for Class 9 students as per the latest exam pattern. Students can practise these questions and score good marks in the final exam. These selective questions are given here, as per the CBSE syllabus (2022-2023) and NCERT guidelines. Also, check Important Questions for Class 9 Maths .

Download the below PDF to get more MCQs on Class 9 Maths Chapter 3 Coordinate Geometry.

Class 9 Maths Chapter 3 Coordinate Geometry MCQs – Download PDF

case study questions class 9 maths coordinate geometry pdf

MCQs on Class 9 Maths  Chapter 3 Coordinate Geometry

Students can solve the multiple-choice problems given below to increase their problem-solving skills. Each question has 4 multiple options. Students need to choose the right answer.

1) The name of the horizontal line in the cartesian plane which determines the position of a point is called:

d. Quadrants

2) The name of the vertical line in the cartesian plane which determines the position of a point is called:

3) The section formed by horizontal and vertical lines determining the position of the point in a cartesian plane is called:

4) The point of intersection of horizontal and vertical lines determining the position of a point in a cartesian plane is called:

5) If the coordinates of a point are (0, -4), then it lies in:

c. At origin

d. Between x-axis and y-axis

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

6) If the coordinates of a point are (3, 0), then it lies in:

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

7) 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

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

8) If the coordinates of a point are (-3, -4), then it lies in:

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

9) Points (1, 2), (-2, -3), (2, -3);

b. Do not lie in the same quadrant

10) If x coordinate of a point is zero, then the point lies on:

11) Signs of the abscissa and ordinate of a point in the second quadrant are respectively 

b. +, –

d. -, –

Explanation: The signs of abscissa (x-value) and ordinate(y-value) in the second quadrant are – and + respectively.

12) The point (-10, 0) lies in

a. Third quadrant

b. Fourth quadrant

c. On the negative direction of the x-axis

d. On the negative direction of the y-axis

Explanation: The point (-10, 0) lies in the negative direction of the x-axis. 

13) A quadrant in which both x and y values are negative is

Explanation: In the third quadrant, both the abscissa and ordinate values are negative. Example (-2, -2), which lies in the third quadrant.

14) Abscissa of all the points on the x-axis is

d. Any number

Explanation: Abscissa of all the points on the x-axis can be any number. The coordinates of any point on the x-axis is (x, 0), where x can take any value.

15) Ordinate of all points on the x-axis is

Explanation: The ordinate of all points on the x-axis is 0. We know that the coordinates of any point on the x-axis is (x, 0). Here, the abscissa can take any value and the ordinate is zero.

16) Abscissa of a point is positive in

a. I quadrant

b. I and II quadrants

c. II quadrant only

d. I and IV quadrants

Explanation: In a coordinate plane, x can take positive values in the first and fourth quadrants. For example, (2, 2) and (2, -4) lie on the first and fourth quadrants, respectively.

17) 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. Does not lie in the same quadrant

Explanation: The point (1, -1), (2, -2) and (4, -5) lies in the fourth quadrant, where (-3, -4) lies in the third quadrant. 

18) Abscissa of all the points on the y-axis is

Explanation: The abscissa of all the points on the y-axis is 0. We know that the coordinates of any point on the y-axis is (0, y). Here, the ordinate can take any value and the abscissa is zero.

19) Ordinate of all the points on the y-axis is

Explanation: The ordinate of all the points on the y-axis can be any number. The coordinates of any point on the y-axis is (0, y). Here, abscissa can take only the value of 0 and the ordinate can take any value.

20) The point which lies on the y-axis at a distance of 5 units in the negative direction of the y-axis is

Explanation: The coordinates of any point on the y-axis is (0, y).

Hence, abscissa should be 0. 

Given that, the point lies in the negative direction of the y-axis. Hence, the value of y should be negative. 

Therefore, the point which lies on the y-axis at a distance of 5 units in the negative direction is (0, -5).

Class 9 Related Articles on Coordinate Geometry

  • Coordinate Geometry Class 9 Notes – Chapter 3
  • Coordinate Geometry Formulas
  • Important Questions Class 9 Maths Chapter 3-Coordinate Geometry
  • Two Dimensional Coordinate Geometry

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