case study class 9 maths circles

CBSE Case Study Questions for Class 9 Maths Circles Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 9 Maths Circles in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 9 Maths Circles PDF

Checkout our case study questions for other chapters.

Chapter 8 Quadrilaterals Case Study Questions
Chapter 9 Areas of Parallelograms and Triangles Case Study Questions
Chapter 11 Constructions Case Study Questions
Chapter 12 Heron’s Formula Case Study Questions

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

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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

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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.

Each question has five sub-questions, each followed by four options and one correct answer. Students can easily download these questions in PDF format and refer to them for exam preparation.


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CBSE Class 9 Mathematics Case Study Questions

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If you’re looking for a comprehensive and reliable study resource and case study questions for class 9 CBSE, myCBSEguide is the perfect door to enter. With over 10,000 study notes, solved sample papers and practice questions, it’s got everything you need to ace your exams. Plus, it’s updated regularly to keep you aligned with the latest CBSE syllabus . So why wait? Start your journey to success with myCBSEguide today!

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)


I	NUMBER SYSTEMS	10
II	ALGEBRA	20
III	COORDINATE GEOMETRY	04
IV	GEOMETRY	27
V	MENSURATION	13
VI	STATISTICS & PROBABILITY	06

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)


1.	Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas	43	54
2.	Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.	19	24
3.	Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions	18	22
		80	100

myCBSEguide: Blessing in disguise

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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Competency Based Learning in CBSE Schools
Class 11 Physical Education Case Study Questions
Class 11 Sociology Case Study Questions
Class 12 Applied Mathematics Case Study Questions
Class 11 Applied Mathematics Case Study Questions
Class 11 Mathematics Case Study Questions
Class 11 Biology Case Study Questions
Class 12 Physical Education Case Study Questions

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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All questions was easy but search ? hard questions. These questions was not comparable with cbse. It was totally wastage of time.

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Case Study Questions for Class 9 Maths

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Are you preparing for your Class 9 Maths board exams and looking for an effective study resource? Well, you’re in luck! In this article, we will provide you with a collection of Case Study Questions for Class 9 Maths specifically designed to help you excel in your exams. These questions are carefully curated to cover various mathematical concepts and problem-solving techniques. So, let’s dive in and explore these valuable resources that will enhance your preparation and boost your confidence.

Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.

CBSE Class 9 Maths Board Exam will have a set of questions based on case studies in the form of MCQs. The CBSE Class 9 Mathematics Question Bank on Case Studies, provided in this article, can be very helpful to understand the new format of questions. Share this link with your friends.

If you want to want to prepare all the tough, tricky & difficult questions for your upcoming exams, this is where you should hang out. CBSE Case Study Questions for Class 9 will provide you with detailed, latest, comprehensive & confidence-inspiring solutions to the maximum number of Case Study Questions covering all the topics from your NCERT Text Books !

Table of Contents

CBSE Class 9th – MATHS: Chapterwise Case Study Question & Solution

Case study questions are a form of examination where students are presented with real-life scenarios that require the application of mathematical concepts to arrive at a solution. These questions are designed to assess students’ problem-solving abilities, critical thinking skills, and understanding of mathematical concepts in practical contexts.

Chapterwise Case Study Questions for Class 9 Maths

Case study questions play a crucial role in the field of mathematics education. They provide students with an opportunity to apply theoretical knowledge to real-world situations, thereby enhancing their comprehension of mathematical concepts. By engaging with case study questions, students develop the ability to analyze complex problems, make connections between different mathematical concepts, and formulate effective problem-solving strategies.

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 Quadilaterals
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

The above Case studies for Class 9 Mathematics will help you to boost your scores as Case Study questions have been coming in your examinations. These CBSE Class 9 Maths Case Studies have been developed by experienced teachers of schools.studyrate.in for benefit of Class 10 students.

Class 9 Science Case Study Questions
Class 9 Social Science Case Study Questions

How to Approach Case Study Questions

When tackling case study questions, it is essential to adopt a systematic approach. Here are some steps to help you approach and solve these types of questions effectively:

Read the case study carefully: Understand the given scenario and identify the key information.
Identify the mathematical concepts involved: Determine the relevant mathematical concepts and formulas applicable to the problem.
Formulate a plan: Devise a plan or strategy to solve the problem based on the given information and mathematical concepts.
Solve the problem step by step: Apply the chosen approach and perform calculations or manipulations to arrive at the solution.
Verify and interpret the results: Ensure the solution aligns with the initial problem and interpret the findings in the context of the case study.

Tips for Solving Case Study Questions

Here are some valuable tips to help you effectively solve case study questions:

Read the question thoroughly and underline or highlight important information.
Break down the problem into smaller, manageable parts.
Visualize the problem using diagrams or charts if applicable.
Use appropriate mathematical formulas and concepts to solve the problem.
Show all the steps of your calculations to ensure clarity.
Check your final answer and review the solution for accuracy and relevance to the case study.

Benefits of Practicing Case Study Questions

Practicing case study questions offers several benefits that can significantly contribute to your mathematical proficiency:

Enhances critical thinking skills
Improves problem-solving abilities
Deepens understanding of mathematical concepts
Develops analytical reasoning
Prepares you for real-life applications of mathematics
Boosts confidence in approaching complex mathematical problems

Case study questions offer a unique opportunity to apply mathematical knowledge in practical scenarios. By practicing these questions, you can enhance your problem-solving abilities, develop a deeper understanding of mathematical concepts, and boost your confidence for the Class 9 Maths board exams. Remember to approach each question systematically, apply the relevant concepts, and review your solutions for accuracy. Access the PDF resource provided to access a wealth of case study questions and further elevate your preparation.

Q1: Can case study questions help me score better in my Class 9 Maths exams?

Yes, practicing case study questions can significantly improve your problem-solving skills and boost your performance in exams. These questions offer a practical approach to understanding mathematical concepts and their real-life applications.

Q2: Are the case study questions in the PDF resource relevant to the Class 9 Maths syllabus?

Absolutely! The PDF resource contains case study questions that align with the Class 9 Maths syllabus. They cover various topics and concepts included in the curriculum, ensuring comprehensive preparation.

Q3: Are the solutions provided for the case study questions in the PDF resource?

Yes, the PDF resource includes solutions for each case study question. You can refer to these solutions to validate your answers and gain a better understanding of the problem-solving process.

Class 9 maths case study questions chapter 14 statistics, class 9 mcq questions for chapter 8 motion with answers, class 9 mcq questions for chapter 2 is matter around us with answers, leave a reply cancel reply.

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CBSE Expert

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 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.

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

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

(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:

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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Chapter 9 Class 9 Circles

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Updated new NCERT Book - 2023-24.

In Chapter 9 Class 9 of NCERT, Circles, Theorems are extremely important, we have provided detailed explanation of the theorems of circles as well as NCERT Solutions of all questions and examples.

In this chapter, we will learn

The basics - What is a circle, radius, diameter, arc, sector, segment, chord
Then, we do some theorems, and related questions... like
Equal chords subtends equal angle at the center, and its converse
Perpendicular from center to a chord bisects the chord, and its converse
Only 1 Circle can pass through 3 non-collinear points
Equal chords subtend equal angles at the center, and its converse
Angle subtended by an arc is double the angle subteneded at any other point
Angles in the same segment of a circle are equal
Then, we will learn what a Cyclic Quadrilateral is,
And its property - Sum of opposite angles of cyclic quadrilateral is 180

In addition to this, we have solved all the NCERT questions of this chapter, including Extra questions (Ex 10.6 - Optional Exercise)

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NCERT Solutions for Class 9 Maths Chapter 10 Circles

NCERT Solutions for Class 9 Maths Chapter 10 Circles 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 10 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 10 Circles 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 10 Exercise 10.1

NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.1 00001

NCERT Solutions for Class 9 Maths Chapter 10 Exercise 10.2

NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.2

NCERT Solutions for Class 9 Maths Chapter 10 Exercise 10.3

NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.3 00001

NCERT Solutions for Class 9 Maths Chapter 10 Exercise 10.4

NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.4 00001

NCERT Solutions for Class 9 Maths Chapter 10 Exercise 10.5

NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.5 00001

NCERT Solutions for Class 9 Maths Chapter 10 Exercise 10.6

NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.6 00001

NCERT Solutions for Class 9 Maths Chapter 10 – Topic Discussion

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

Circles and the related terms
Angle Subtended by a Chord at a Point
Perpendicular from the Centre to a Chord
Circle through Three Points
Equal Chords and Their Distances from the Centre
Angle Subtended by an Arc of a Circle
Cyclic Quadrilaterals

NCERT Solutions Class 9 Maths Chapter 10

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NCERT Solutions For Class 9 Mathematics Chapter 10 – Circles

Mathematics is a subject that can be easily learned by students by regularly revising and practising a lot of questions and answers. Suppose you are willing to learn more about the nature and construction of different mathematical shapes. In that case, you must take full advantage of the class notes and question banks available on the Extramarks website for Class 9 Mathematics Chapter 10 – Circles.

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A circle has been defined as a cumulation of all the points in a particular plane, such that all points located on the surface of this 2-dimensional shape are at a fixed distance from the centre. According to the NCERT Solutions for Class 9 Mathematics Chapter 10, circles are categorised as having a fixed radius or distance between the surface and the centre and a fixed centre to satisfy the conditions of being this particular mathematical shape.

You can quickly look at the premium study material and detailed class notes on NCERT Solutions for Class 9 Mathematics Chapter 10 by visiting Extramarks’ website. It is considered to be the most renowned platform and is trusted by lakhs of students across India. The platform provides the students with the required skills and knowledge about the different topics covered in this chapter. On the Extramarks website, you will get high-quality study notes and solved examples to develop better conceptual clarity and a theoretical understanding of these mathematical formulas and concepts.

One can get access to the syllabus and quality study notes for the CBSE board for every subject through our Extramarks website. Once you register on our website, you can get access to different solved answers and questionnaires for NCERT Solutions Class 12, NCERT Solutions Class 8, NCERT Solutions Class 7, NCERT Solutions Class 11, NCERT Solutions Class 6, and so on.

Key Topics Covered In NCERT Solution For Class 9 Mathematics Chapter 10 – Circles

The important topics explained in this chapter include Chords of a Circle, Circle through 3 Points, Arc of a Circle, Angles subtended within a Circle by Chords and Arcs, Cyclic Quadrilaterals, and Optional exercises.

The key topics and essential exercises included in our Class 9 Mathematics NCERT Solutions Chapter 10 – Circles are listed below:

Introduction

Chords and Arcs of a Circle
Circle through 3 Points in Space
Angles subtended within a Circle by Chords and Arcs

Cyclic Quadrilaterals

Students will get step-by-step instructions and explanations around each of these topics in our NCERT Solutions for Class 9 Mathematics Chapter 10.

A circle has many components, which can be defined as follows –

Radius – is the distance between the centre of the circle and any of the points located on the planar surface (also known as the circumference) of a circle.

Diameter – is the perpendicular distance between any two points located on the opposite ends of the surface of a circle, which also passes through the centre of the circle.

Tangent – It is a line directly touching the surface of a circle at a perpendicular point within the shape’s exterior. It is parallel to the radius and diameter of the circle at the same time.

Segment – It is the area enclosed by the chords of a circle while being separated by the centre of the circle.

Sector – It is the area enclosed by the arcs of a circle while being at a fixed distance from the centre of the circle.

Chords And Arcs Of A Circle

Chord – It is the average distance between any two points within the surface of a circle, given that the line segment joining these two points doesn’t pass through the centre of the circle.
Arc – An arc is defined as the portion of the area enclosed by any two points within the surface of a circle, given that the lines joining them subtend an acute angle from the centre of the circle. The two types of arcs namely, Minor Arc and Major Arc depend upon the value of the angle subtended by the line segments joining the respective points with the Centre of the Circle.

We want one beginning stage and one completion point to define a straight boundary. That implies a line needs two points to be drawn. Likewise, if we should draw a circle, we want to have a few focuses. However, unlike line fragments, we have various ways of drawing a circle. If a circle can be drawn with a single point because it does not have many planes, the starting point will also become the ending point.

Essentially, we can draw a circle using two focuses. We can draw a few circles from two different points, just like we did from a single point. Be that as it may, the ongoing errand is to draw a circle going through three focuses located at the circle’s centre. While considering a circle going through three focuses, noticing two cases is significant. Since the focuses might be either collinear or non-collinear, the circle might go through collinear focuses or non-collinear points on the circle.

Angles Subtended Within A Circle By Chords And Arcs

We will examine the hypothesis connected with the point subtended by an arc of a circle and its confirmation with complete clarification. The point subtended by an arc in the middle is twofold. the point occupied by it at any time on the circle’s leftover pieceIf the harmonies of the two circles are equivalent, and the arcs that connect them are also harmonious. On the other hand, if two arcs are compatible, their contrasting harmonies are equivalent. The point subtended by an arc in the middle is twofold. It can occupy any point on the excess piece of the circle. A line portion joining two focuses subtends equivalent points at two different focuses lying on a similar side of the line containing the line fragment; the four focuses lie on a circle.

A quadrilateral named WXYZ is called cyclic if all four vertices lie on a circle. The amount of one or the other set of inverse points of a cyclic quadrilateral is 180º. The Circle can have an infinite number of harmonies. In the figure given, we see that the more drawn-out harmony is closer to the middle than the more subtle harmony. The breadth is the longest harmony from the middle; the distance is zero since the middle lies on it. On the off chance that the angle between a couple of inverse points of a quadrilateral is 180º, the quadrilateral is cyclic.

NCERT Solutions for Class 9 Mathematics Chapter 10 – Exercise & Solutions

NCERT solutions for Class 9 Mathematics Chapter 10 have detailed answers to the textbook exercises, solved examples, and additional questions for practice. You can level up your preparation and improve your performance in the examinations by referring to it.

Our Mathematics subject matter experts have given the solutions. All the solutions are in a step-by-step format, including every single point required while calculating every answer. Experienced teachers from the field of Mathematics have curated the solutions given in the study materials. Hence, you can wholeheartedly trust our study resources.

Click on the below links to view exercise-specific questions and solutions for NCERT Solutions for Class 9 Mathematics Chapter 10:

Chapter 10: Exercises and Solutions

Along with Class 9 Mathematics solutions, you can explore NCERT Solutions on our Extramarks’ website for all primary and secondary classes

NCERT Exemplar Class 9 Mathematics

The NCERT Exemplar Class 9 Mathematics book covers complex theories that guide the students in preparing for and facing the upcoming examinations confidently. This book assists students in developing confidence during their preparation by providing basic and advanced-level questions. Students can refer to it for additional practice.

The questions are designed as per the pattern of the CBSE as well as competitive examinations. This will aid students in solving all types of questions with accuracy, helping them develop an interest in the subject at large. Our solutions have always proven to be a remarkable guide for the students preparing for their school examinations and other competitive examinations like NEET, JEE, WBJEE, BITSAT, MHT-CET etc.

Students can ensure guaranteed success once they include NCERT solutions for Class 9 Mathematics Chapter 10 and NCERT Exemplar Class 9 Mathematics in their study material. Both of these resources can be easily accessed from the Extramarks’ website.

Key Features for NCERT Solutions for Class 9 Mathematics Chapter 10

To score well, you must revise the concepts repeatedly. Hence, NCERT Solutions for Class 9 Mathematics Chapter 10 offers guides to revise appropriately. The key features are as follows:

The revision-related material can be accessed from our NCERT Solutions Class 9 Mathematics Chapter 10.
It has concepts divided into various segments, helping students get an in-depth understanding of the chapters.
NCERT Solutions for Class 9 Mathematics Chapter 10 provides well-explained solutions to all the questions in the textbook and provides sample question papers to be thorough in their respective subjects.
The solutions provided by the Extramarks help students be confident, improve their learning abilities, understand those complex topics with ease, and prepare well for the examinations to get excellent results.

We recommend students sign up for NCERT Solutions for Class 9 Mathematics Chapter 10 on Extramarks’ website for a detailed explanation of the Circles chapter.

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FAQs (Frequently Asked Questions)

1. what are the important points i should keep in mind while solving problems in mathematics.

Students should keep in mind the following important points while solving problems in Mathematics:

They must read each question carefully and attentively. Analyse the type of problem.
They must note down all the conditions given in the questions on a piece of paper.
They must solve it in a step-by-step format.
They must begin with easy steps and calculations.
They must double-check from the start once the calculation is done.

2. Are NCERT Solutions for Class 9 Mathematics Chapter 10 difficult?

The entire chapter is moderately complex chapter for students to understand, and many students may face problems as these lessons are graded. Rote learning may give you partial success, but not for long. Therefore, we humbly suggest you sign up at NCERT Solutions for Class 9 Mathematics Chapter 10, which will definitely solve your problem to a great extent. These solutions are designed in such a way that the answers are self-explanatory, which means that students may not always have to rely on teachers to clear their doubts while studying, particularly during last-minute preparation, making it easier to understand the concepts quickly and thoroughly.

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Circles Class 9 Extra Questions Maths Chapter 10 with Solutions Answers

September 12, 2020 by Prasanna

Here we are providing Circles Class 9 Extra Questions Maths Chapter 10 with Answers Solutions, Extra Questions for Class 9 Maths was designed by subject expert teachers.

Extra Questions for Class 9 Maths Circles with Answers Solutions

Extra Questions for Class 9 Maths Chapter 10 Circles with Solutions Answers

Circles Class 9 Extra Questions Very Short Answer Type

Circles Class 9 Extra Questions Maths Chapter 10 with Solutions Answers 1

Circles Class 9 Extra Questions Short Answer Type 1

Circles Class 9 Extra Questions Maths Chapter 10 with Solutions Answers 7

Question 3. If the diagonals of a cyclic quadrilateral are diameters of the circle through the opposite vertices of the quadrilateral. Prove that the quadrilateral is a rectangle. Solution: Here, ABCD is a cyclic quadrilateral in which AC and BD are diameters.

Circles Class 9 Extra Questions Maths Chapter 10 with Solutions Answers 9

Circles Class 9 Extra Questions Short Answer Type 2

Circles Class 9 Extra Questions Maths Chapter 10 with Solutions Answers 14

Circles Class 9 Extra Questions Long Answer Type

Circles Class 9 Extra Questions Maths Chapter 10 with Solutions Answers 20

Circles Class 9 Extra Questions HOTS

Circles Class 9 Extra Questions Maths Chapter 10 with Solutions Answers 27

Circles Class 9 Extra Questions Value Based (VBQs)

Circles Class 9 Extra Questions Maths Chapter 10 with Solutions Answers 30

NCERT Solutions for Class 9 Maths Chapter 10 Circles

Ncert solutions for class 9 maths chapter 10 circles| pdf download.

Exercise 10.1 Chapter Class 10 Maths NCERT Solutions
Exercise 10.2 Chapter Class 10 Maths NCERT Solutions
Exercise 10.3 Chapter Class 10 Maths NCERT Solutions
Exercise 10.4 Chapter Class 10 Maths NCERT Solutions
Exercise 10.5 Chapter Class 10 Maths NCERT Solutions
Exercise 10.6 Chapter Class 10 Maths NCERT Solutions

NCERT Solutions for Class 9 Maths Chapters:

How many exercises in Chapter 10 Circles?

The diameter of circle is 3.8 cm. find the length of its radius., what is an arc, what is a diameter, contact form.

Class 9 Maths MCQs
Chapter 10 Circles Mcq

Class 9 Maths Chapter 10 Circles MCQs

Class 9 Maths Chapter 10 Circles MCQs are available online, here with answers. These are the objective questions prepared, as per the CBSE syllabus and NCERT curriculum. The multiple-choice questions are given here chapter-wise, with detailed explanations. Also, check Important Questions for Class 9 Maths .

Download the PDF for Class 9 Maths Chapter 10 Circles MCQs by clicking on the below link.

Class 9 Maths Chapter 10 Circles MCQs – Practice Questions

MCQs on Class 9 Maths Chapter 10 Circles

Solve the MCQs on circles given here with four multiple options and choose the right answer.

1) The center of the circle lies in______ of the circle.

a. Interior

b. Exterior

c. Circumference

d. None of the above

2) The longest chord of the circle is:

c. Diameter

3) Equal _____ of the congruent circles subtend equal angles at the centers.

a. Segments

Explanation: See the figure below:

Class 9 Maths Chapter 10 Circles MCQs Example 3

Let ΔAOB and ΔCOD are two triangles inside the circle.

OA = OC and OB = OD (radii of the circle)

AB = CD (Given)

So, ΔAOB ≅ ΔCOD (SSS congruency)

∴ By CPCT rule, ∠AOB = ∠COD.

Hence, this prove the statement.

4) If chords AB and CD of congruent circles subtend equal angles at their centres, then:

b. AB > CD

c. AB < AD

d . None of the above

Explanation: Take the reference of the figure from above question.

In triangles AOB and COD,

∠AOB = ∠COD (given)

So, ΔAOB ≅ ΔCOD. (SAS congruency)

∴ AB = CD (By CPCT)

5) If there are two separate circles drawn apart from each other, then the maximum number of common points they have:

6) The angle subtended by the diameter of a semi-circle is:

Explanation: The semicircle is half of the circle, hence the diameter of the semicircle will be a straight line subtending 180 degrees.

7) If AB and CD are two chords of a circle intersecting at point E, as per the given figure. Then:

Class 9 Maths Chapter 10 Circles MCQs Example 7

b. ∠BEQ = ∠CEQ

c. ∠BEQ < ∠CEQ

Explanation:

OM = ON (Equal chords are always equidistant from the centre)

OE = OE (Common)

∠OME = ∠ONE (perpendiculars)

So, ΔOEM ≅ ΔOEN (by RHS similarity criterion)

Hence, ∠MEO = ∠NEO (by CPCT rule)

∴ ∠BEQ = ∠CEQ

8) If a line intersects two concentric circles with centre O at A, B, C and D, then:

c. AB < CD

Class 9 Maths Chapter 10 Circles MCQs Example 8

From the above fig., OM ⊥ AD.

Therefore, AM = MD — 1

Also, since OM ⊥ BC, OM bisects BC.

Therefore, BM = MC — 2

From equation 1 and equation 2.

AM – BM = MD – MC

9) In the below figure, the value of ∠ADC is:

Class 9 Maths Chapter 10 Circles MCQs Example 9

Explanation: ∠AOC = ∠AOB + ∠BOC

So, ∠AOC = 60° + 30°

∴ ∠AOC = 90°

An angle subtended by an arc at the centre of the circle is twice the angle subtended by that arc at any point on the rest part of the circle.

∠ADC = 1/2∠AOC

= 1/2 × 90° = 45°

10) In the given figure, find angle OPR.

Class 9 Maths Chapter 10 Circles MCQs Example 10

Explanation: The angle subtended by major arc PR at the centre of the circle is twice the angle subtended by that arc at point, Q, on the circle.

So, ∠POR = 2 × ∠PQR, here ∠POR is the exterior angle

We know the values of angle PQR as 100°

So, ∠POR = 2 × 100° = 200°

Now, in ΔOPR,

OP and OR are the radii of the circle

So, OP = OR

Also, ∠OPR = ∠ORP

By angle sum property of triangle, we know:

∠ROP + ∠OPR + ∠ORP = 180°

∠OPR + ∠OPR = 180° – 160°

As, ∠OPR = ∠ORP

2∠OPR = 20°

Thus, ∠OPR = 10°

11) In the given figure, ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to:

Class 9 Maths Chapter 10 Circles MCQs Example 11

Answer: c

Given that ∠AOB = 90º and ∠ABC = 30º

OA = OB (Radii of the circle)

Let x= ∠OAB = ∠OBA = x

In the triangle OAB,

∠OAB + ∠OBA + ∠AOB = 180° (By using the angle sum property of triangle)

⇒ x + x + 90° = 180°

⇒ 2x = 180° – 90°

⇒ x = 90°/ 2 = 45°

Therefore, ∠OAB = 45° and ∠OBA = 45°

By using the theorem, “ the angles subtended by arcs at the centre of the circle double the angle subtended at the remaining part of the circle”, we can write

∠AOB = 2∠ACB

This can also be written as,

∠ACB = ½ ∠AOB = (½) × 90° = 45°

Now, apply the angle sum property of triangle on the triangle ABC,

∠ACB + ∠BAC + ∠CBA = 180°

∠ACB + [∠BAO + ∠CAO] + ∠CBA = 180° (As,∠BAC = ∠BAO + ∠CAO)

Now, substitute the known values, we get

45° + (45° + ∠CAO) + 30° = 180°

∠CAO = 180°- (30° + 45° + 45°)

∠CAO = 180°-120°

Hence, ∠CAO is equal to 60°.

12) ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 140º, then ∠BAC is equal to:

Given that ABCD is a cyclic quadrilateral and ∠ADC = 140º.

Class 9 Maths Chapter 10 Circles MCQs Example 12

We know that the sum of opposite angles of a cyclic quadrilateral is 180°.

Hence, ∠ADC + ∠ABC = 180°

Now, substitute ∠ADC = 140º in the above equation, we get

140° + ∠ABC = 180°

∠ABC = 180° – 140° = 40°

since the angle subtended by a diameter at the circumference of the circle, is 90°

Hence, ∠ACB = 90°

By using the angle property of triangle in the triangle, ABC,

∠CAB + ∠ABC + ∠ACB = 180°

∠CAB + 40° + 90° = 180°

∠CAB = 180° – 90° – 40°

∠CAB = 50°

Therefore, ∠CAB or ∠BAC =50°.

13) In the given figure, if ∠OAB = 40º, then ∠ACB is equal to

Class 9 Maths Chapter 10 Circles MCQs Example 13

Given that ∠OAB = 40º,

In the triangle OAB,

OA = OB (radii)

Since, the angles opposite to equal sides are equal,

∠OAB = ∠OBA (i.e.) ∠OBA = 40°

Now, by using the angle sum property of triangle, we can write

∠AOB + ∠OBA + ∠BAO = 180°

Now, substitute the known values,

∠AOB + 40° + 40° = 180°

∠AOB = 180 – 80° = 100°

∠AOB = 2 ∠ACB (Since, the angle subtended by an arc at the centre is twice the angle subtended by it at the remaining part of the circle)

∠ACB = ½ ∠AOB

Hence, ∠ACB = 100°/2 = 50°.

14) In the given figure, if ∠ABC = 20º, then ∠AOC is equal to:

$Class 9 Maths Chapter 10 Circles MCQs Example 14$

Given that, ∠ABC = 20º.

∠AOC = 2∠ABC (since the angle subtended by an arc at the centre of the circle is double the angle subtended at the remaining part.)

Now, substitute the values, we get

∠AOC = 2 × 20°

Therefore, ∠AOC = 40°.

15) In the given figure, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to:

Class 9 Maths Chapter 10 Circles MCQs Example 15

From the given diagram, we can observe that OC is perpendicular to chord AB. Therefore, OC bisects the chord AB Hence. AC=CB

2AC = 8 (Since, AC = CB)

AC = 8/2 = 4 cm

As, the triangle OCA is a right-angled triangle, by using Pythagoras theorem, we can write

AO 2 =AC 2 +OC 2

5 2 =4 2 +OC 2

5 2 −4 2 =OC 2

As, OD is the radius of the circle, OA=OD=5cm

CD = 5-3 = 2 cm

Hence, the value of CD is equal to 2cm.

16) In the given figure, BC is the diameter of the circle and ∠BAO = 60º. Then ∠ADC is equal to

$Class 9 Maths Chapter 10 Circles MCQs Example 16$

Explanation:

Given that ∠BAO = 60°

Since OA = OB,∠OBA = 60°

Then ∠ADC = 60° (As, the angles in the same segment are equal).

17) In the given figure, if ∠DAB = 60º, ∠ABD = 50º, then ∠ACB is equal to:

Class 9 Maths Chapter 10 Circles MCQs Example 17

Given that, ∠DAB = 60º, ∠ABD = 50º

By using the angle sum property in the triangle ABD

∠DAB+∠ABD+∠ADB=180º

60º+50º+∠ADB=180º

∠ADB=180º-110º

∠ADB=∠ACB (Since the angles subtended at the circumference by the same arc are equal)

We know that the angles subtended at the circumference by the same arc are equal.

18) In the given figure, if AOB is a diameter of the circle and AC = BC, then ∠CAB is equal to:

Class 9 Maths Chapter 10 Circles MCQs Example 18

We know that the angle at circumference subtended by the diameter of the circle is the right angle.

Hence, ∠ACB = 90°

Also, given that AC = BC

Therefore, ∠CAB = ∠CBA (As, the angles opposite to equal sides are also equal)

Now, by using the angle sum property of triangle in ∆ACB, we can write

∠CAB + ∠ABC + ∠BCA = 180°

∠CAB + ∠CAB + 90° = 180°

2∠CAB = 180° – 90°

Therefore, ∠CAB is equal to 45°.

19) If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is:

Given that AB = 12 cm, BC = 16 cm and AB is perpendicular to BC.

Class 9 Maths Chapter 10 Circles MCQs Example 19

Hence, AC is the diameter of the circle passing through points A, B and C.

Hence, ABC is a right-angled triangle.

Thus by using the Pythagoras theorem:

AC 2 = (CB) 2 + (AB) 2

⇒ AC 2 = (16) 2 + (12) 2

⇒ AC 2 = 256 + 144

⇒ AC 2 = 400

Hence, the diameter of the circle, AC = 20 cm.

Thus, the radius of the circle is 10 cm.

20) AD is the diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is

Given that, Diameter, AD = 34 cm.

Chord, AB = 30 cm.

Class 9 Maths Chapter 10 Circles MCQs Example 20

Hence, the radius of the circle, OA = 17 cm

Now, consider the figure.

From the centre “O”. OM is perpendicular to the chord AB.

(i.e) OM ⊥ AM

AM = ½ AB

AM = ½ (30) = 15 cm

Now by using the Pythagoras theorem in the right triangle AOM,

AO 2 = OM 2 + AM 2

OM 2 = AO 2 – AM 2

OM 2 = 17 2 – 15 2

OM 2 = 64

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Test: Circles- Case Based Type Questions - EmSAT Achieve MCQ

12 questions mcq test - test: circles- case based type questions.

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Rohan draws a circle of radius 10 cm with the help of compass and scale. He also draws two chords, AB and CD in such a way that AB and CD are 6 cm and 8 cm from the centre O. Now, he has some doubts that are given below. Help him out by answering these questions: Q. A quadrilateral is called cyclic if all the four vertices of it lie on a _________

B. Quadrilateral
C. Pentagon
D. Triangle

In a circle of radius 10 cm given below, chord AB and CD are equal. If OE bisects AB and OF bisects CD and OF = 6 cm, then length EB is ________ .

It is given AB = CD.

So, OF = OE = 6 cm [Equal chords are equidistant from centre] ...... (1)

In ΔOEB OB = 10 cm [Radius] OE = OF = 6 cm [from (1)]

Since a line through the center that bisects the chord is perpendicular to the chord, we must have ∠OBE=90∘ ∴OB 2 = OE 2 +EB 2 [∵∠OEB is 90∘] EB 2 =OB 2 −OE 2

EB 2 = (10) 2 −(6) 2 = 64

Rohan draws a circle of radius 10 cm with the help of compass and scale. He also draws two chords, AB and CD in such a way that AB and CD are 6 cm and 8 cm from the centre O. Now, he has some doubts that are given below. Help him out by answering these questions: Q. What is the length of AB?

h2 = p2 + b2

102 = 62 + b2

100 = 36 + b2

Rohan draws a circle of radius 10 cm with the help of compass and scale. He also draws two chords, AB and CD in such a way that AB and CD are 6 cm and 8 cm from the centre O. Now, he has some doubts that are given below. Help him out by answering these questions:

Q. A circle divides the plane, on which it lies, in _________ parts .

Q. Which statement is not true?

A. Equal chords of a circle subtend equal angles at the centre
B. The perpendicular from the centre of a circle to a chord bisects the chord.
C. Angles in the same segment of a circle are equal.
D. The sum of each pair of opposite angles of a cyclic quadrilateral is 90°.

A Ferris wheel (or a big wheel in the United Kingdom) is an amusement ride consisting of a rotating upright wheel with multiple passenger-carrying components (commonly referred to as passenger cars, cabins, tubs, capsules, gondolas, or pods) attached to the rim in such a way that as the wheel turns, they are kept upright, usually by gravity.

After taking a ride in Ferris wheel, Aarti came out from the crowd and was observing her friends who were enjoying the ride . She was curious about the different angles and measures that the wheel will form. She forms the figure as given below.

Q. Find ∠ORP

⇒ ∠PRQ = ∠PQR [∵ Angles opposite equal sides are equal

⇒ ∠PRQ + ∠RPQ + ∠POR = 180° [∆ Rule]

⇒ 30° + 2∠PQR = 180°

= 75° ⇒ SR || QP and QR is a transversal

∵ ∠SRQ = ∠PQR [Alternate interior angle]

∴ ∠SRO = 75° [Tangent is I to the radius through the point of contact]

⇒ ∠ORP = 90°

∴ ∠ORP = ∠ORQ + ∠QRP

90° = ∠ORQ + 75°

∠ORQ = 90° – 75 o = 150

Similarly, ∠RQO = 15°

∠QOR + ∠QRO + ∠OQR = 180° [∆ Rule]

∴ ∠QOR + 15° + 15° = 180°

∠QOR = 180° – 30° = 150°

⇒ ∠QSR = 12∠QO

⇒ ∠QSR = 150 ∘ /2 = 750 [Used ∠SRQ = 75° as solved above]

In ARSQ, ∠RSQ + ∠QRS + ∠RQS = 180° [∆ Rule]

∴ 75° + 75° + ∠RQS = 180°

∠RQS = 180° – 150 o = 30°

Q. Find ∠RQP

Q. In the given figure find ∠ROQ

Q. Find ∠RSQ

Varun has been selected by his School to design logo for Sports Day T-shirts for students and staff . The logo design is as given in the figure and he is working on the fonts and different colours according to the theme. In given figure, a circle with centre O is inscribed in a ΔABC, such that it touches the sides AB, BC and CA at points D, E and F respectively. The lengths of sides AB, BC and CA are 12 cm, 8 cm and 10 cm respectively.

Q. If radius of the circle is 4cm, Find the area of ∆OAB

Q. Find the Length of BE

Q. Find area of ∆ABC

=> Area ∆ABC = [(1/2) * radius * AB] + [(1/2) * radius * BC] + [(1/2) * radius * CA]

=> Area ∆ABC = (1/2) * radius * (AB + BC + CA)

=> Area ∆ABC = (1/2) * 4 * 30

=> Area ∆ABC = 2 * 30

=> Area ∆ABC = 60 cm²

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Important Questions for Circles- Case Based Type Questions

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Case Study Questions for Class 9 Maths Chapter 10 Circles
Case Study Questions for Class 9 Maths Chapter 10 Circles. Case Study Questions. Question 1: Ankit visited in a mall with his father. He sees that three shops are situated at P, Q, R as shown in the figure from where they have to purchase things according to their need. Distance between shop P and Q is 8 m, that of between shop Q and R is 10 m ...
Class 9 Maths Case Study Questions of Chapter 10 Circles PDF Download
Here, we have provided case-based/passage-based questions for Class 9 Maths Chapter 10 Circles. Case Study/Passage-Based Questions. Case Study 2: Three friends Amit, Mayank, and Richa were playing with the ball by standing in a circle at A, B, and C points respectively. Richa throws a ball to Amit, Amit to Mayank, and Mayank to Richa.
CBSE Case Study Questions for Class 9 Maths Circles Free PDF
Mere Bacchon, you must practice the CBSE Case Study Questions Class 9 Maths Circles in order to fully complete your preparation.They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!. I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams.
CIRCLES CASE STUDY pdf
Notes of CLASS -9 ROSE, Mathematics CIRCLES CASE STUDY pdf - Study Material. Experience Teachmint X - AI driven Interactive Flat Panels and Smart Boards ... www.vrschool.com, , Case study (Circles), CASE STUDY-1, Read the Source/Text given below and answer the questions:, Four students of class IX B with names Ajay, Babloo, Charan and Deepak ...
Subjective Case Based Questions
Click the link to replay the session - https://vdnt.in/xdmkASubjective Case Based Questions -🔥Circles Class 9 Maths Chapter 10 | CBSE Board Exam 2022 Prepar...
CBSE Class 9 Maths Circles Case Study Questions
Circles Case Study Questions (CSQ's) Practice Tests. Timed Tests. Select the number of questions for the test: Select the number of questions for the test: TopperLearning provides a complete collection of case studies for CBSE Class 9 Maths Circles chapter. Improve your understanding of biological concepts and develop problem-solving skills ...
Maths Class 9
Embark on an illuminating journey into the world of circles with our captivating Class 9 Mathematics case study questions! Explore the intricacies of circle ...
CBSE Class 9th Maths 2023 : 30 Most Important Case Study ...
CBSE Class 9 Maths Question Bank on Case Studies given in this article can be very helpful in understanding the new format of questions. Each question has five sub-questions, each followed by four options and one correct answer. Students can easily download these questions in PDF format and refer to them for exam preparation. Case Study Questions.
CBSE Class 9 Mathematics Case Study Questions
Class 9 Mathematics Case study question 2. Read the Source/Text given below and answer any four questions: Maths teacher draws a straight line AB shown on the blackboard as per the following figure. Now he told Raju to draw another line CD as in the figure. The teacher told Ajay to mark ∠ AOD as 2z.
Case Study Questions for Class 9 Maths
CBSE Class 9 Maths Board Exam will have a set of questions based on case studies in the form of MCQs.The CBSE Class 9 Mathematics Question Bank on Case Studies, provided in this article, can be very helpful to understand the new format of questions. Share this link with your friends. If you want to want to prepare all the tough, tricky & difficult questions for your upcoming exams, this is ...
Class 9 Maths Chapter 9 Circles Case Study Question
Class 9 Maths Chapter 9 Circles Case Study Question | DOE Support Material Case Study SolutionDuring a practical activity in mathematics lab, students were u...
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 play a pivotal role in enhancing students' problem-solving skills.
Important Questions Class 9 Maths Chapter 10
Solve the below given important questions class 9 Maths chapter 10 circles to score good marks in the final examination. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres. Two circles of radii 5 cm and 3 cm intersect at two points and the ...
Chapter 9 Class 9 Circles
Updated new NCERT Book - 2023-24. In Chapter 9 Class 9 of NCERT, Circles, Theorems are extremely important, we have provided detailed explanation of the theorems of circles as well as NCERT Solutions of all questions and examples. In this chapter, we will learn. The basics - What is a circle, radius, diameter, arc, sector, segment, chord.
NCERT Solutions for Class 9 Maths Chapter 10 Circles
Key Features of NCERT Solutions for Class 9 Maths Chapter 10 - Circles. The solutions for the chapter Circles work as a reference for the students. Students will be able to resolve all the problems of this chapter in a faster way. It is good learning material for exam preparation and to do the revision for Class 9 Maths Chapter 10.
NCERT Solutions for Class 9 Maths Chapter 10 Circles
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 10 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 Maths Circles Competency Based Questions
Circles - Competency Based Questions. Select the number of questions for the test: 5. 10. My Class Videos Tests ₹ Plans Ask a Doubt. Strengthen your understanding of Circles in CBSE Class 9 Maths through competency based questions. Acquire in-depth knowledge and improve problem-solving abilities with comprehensive solutions.
NCERT Solutions for Class 9 Maths Chapter 10 Circles
The key topics and essential exercises included in our Class 9 Mathematics NCERT Solutions Chapter 10 - Circles are listed below: Introduction. Chords and Arcs of a Circle. Circle through 3 Points in Space. Angles subtended within a Circle by Chords and Arcs. Cyclic Quadrilaterals.
Circles Class 9 Extra Questions Maths Chapter 10 with Solutions Answers
Circles Class 9 Extra Questions Short Answer Type 1. Question 1. In the given figure, PQR = 100°, where P, Q and R are points on a circle with centre O. Find LOPR. Solution: Take any point A on the circumcircle of the circle. Join AP and AR. ∵ APQR is a cyclic quadrilateral.
NCERT Solutions for Class 9 Maths Chapter 10 Circles
Here you will get Chapter 10 Circles NCERT Solutions for Class 9 Maths that are updated as per the latest marking scheme and syllabus prescribed by CBSE. Also you can Download PDF of Chapter 10 Circles NCERT Solutions Class 9 Maths to practice in a better way. There are variety of concepts given in this Chapter 10 Class 9 Maths textbook that ...
Class 9 Maths Chapter 10 Circles MCQs (With Solutions)
Class 9 Maths Chapter 10 Circles MCQs are available online, here with answers. These are the objective questions prepared, as per the CBSE syllabus and NCERT curriculum. The multiple-choice questions are given here chapter-wise, with detailed explanations. Also, check Important Questions for Class 9 Maths. Download the PDF for Class 9 Maths ...
Test: Circles- Case Based Type Questions
EB 2 =OB 2 −OE 2. EB 2 = (10) 2 − (6) 2 = 64. EB = 8 cm. View Solution. Test: Circles- Case Based Type Questions - Question 3. Save. Rohan draws a circle of radius 10 cm with the help of compass and scale. He also draws two chords, AB and CD in such a way that AB and CD are 6 cm and 8 cm from the centre O.

CBSE Case Study Questions for Class 9 Maths Circles Free PDF

CBSE Case Study Questions for Class 9 Maths Circles PDF

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NCERT Solutions for Class 9 Maths Chapter 10 Circles

Class 9 Maths Chapter 10 Circles NCERT Solutions

NCERT Solutions for Class 9 Maths Chapter 10 Exercise 10.1

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NCERT Solutions for Class 9 Maths Chapter 10 Circles

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