NCERT Solutions for Class 11 Maths Chapter 1 Sets (Ex 1.6)

The students can get chapter-wise solutions for Mathematics Chapter 1, exercise number 1.6 in Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 from the website of Extramarks. These solutions can help students quickly solve problems in their board exams. The CBSE board guides the students on how they can efficiently write solutions for the Mathematical problems. The board examinations are held to share knowledge about the different kinds of questions that competitive or high-level examinations include. The students must go through the significant topics of the particular chapters that can assist them in scoring high grades in their exams.

On the other hand, Education is the cornerstone of progress as the CBSE board helps the students in developing or progressing their skills and abilities with the evolution. After nourishment, housing, and clothes, education might be considered a person’s fourth fundamental requirement. Education is the means by which an individual can improve their establishment in life, find new opportunities, and become more enlightened individuals in society. Education is the great equalizer, giving everyone a chance to improve a lot in their lives.

Education has the power to alter lives and ways of living, as well as how an individual perceives the world, other people, and themselves. The intersection of education and individuals explains one of the important topics from Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6.

Similarly, Class 11 is a new beginning for all the students who have passed their Class 10 board examinations, with so much preparation and difficulty. As the students begin a new chapter in their lives, they must remember that everything is a learning experience. Class 11 is a time for new beginnings, and students must embrace the challenges and obstacles that are going to come their way. Class 11 is a time when the students can start fresh, make new friends, and explore new opportunities. It is also a time for students to learn more about themselves, their choices, and their abilities. Among all the classes, the most demanding and challenging academic year is Class 11, as the subjects in Class 11 differ from all the other classes. Students are exposed to difficult subjects for the very first time in Class 11.

The extensiveness of the study material provided in Class 11 distracts many students and confuses them about what stream to choose and what not to choose. The students should then develop a methodical approach and have a detailed insight into the syllabus by using tools like Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6, which is available on the official website of Extramarks. Students must extensively read their CBSE Class 11 textbooks and develop theoretical concepts and practical understanding. To have a better understanding of the formulas and steps being used in a question, students can access Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 recommended by the Extramarks website.

Students should remember that everything is a learning experience, and they must not be afraid to make mistakes while solving any question. For a step-by-step and detailed explanation of a Mathematics problem in Class 11, students can review Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 provided by Extramarks. Understanding geometrical concepts, sequencing, statistics, etc., also requires an understanding of Sets. The students’ foundation in the analysis of data and processing will be strengthened by using Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 found on the Extramarks website.

Class 11 is an overview of the topics that will be covered in the NCERT textbooks. It is a good idea to get familiar with the topics that will be covered in the Mathematics Class 11 syllabus. The topics in Class 11 include Sets, Relations And Functions, Propositional Calculus, First-Order Logic, Induction And Recursion. The Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 must be continually consulted in order to adequately prepare for the Exercise 1.6 questions. Class 11 is an important class for students who want to get into a good college. Students can get the most out of Class 11 by referring to Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6  along with other exercises. This can maximize their chances of getting higher marks in their examinations.

Class 11 can be a daunting experience, but with the right preparation, students can make the most of it. Students can visit the Extramarks website to get easy access to Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6, in order to improve their exam preparation. The Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6, includes solutions to all the textbook questions, whether they are important or not. If a student is having difficulty discovering the best resources to get Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6, they can refer to the NCERT Solutions provided by Extramarks. Students will be guided by the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 in order to get solutions to all the NCERT questions clearly.

Apart from the frightening experience that the students of Class 11 go through, there are several challenges and changes that all the students face while getting promoted to Class 11 which are as follows:

1) The major problem that every student faces while getting promoted to Class 11 is the difficulty of selecting the correct stream for themselves. Students of Class 11 are not able to choose which is the most suitable stream for them. The students tend to get confused between the advantages and disadvantages of every subject they are examining, or being asked to evaluate. Class 11 students do not understand whether they ought to pursue their interests or follow their emotions. But if the students want to make their academic journey simple for the Mathematics subject, then they can refer to the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6  along with other chapters and exercises.

2) Another primary difficulty that a student confronts while entering Class 11, is the rapid and high academic pressure. The students of Class 11 are being affected by several different pressures at once. The concern to achieve excellence in Class 11 studies, in order to perform well in Class 12 board exams is on one side, and the pressure to prepare for the competitive examinations like NEET, JEE, and CAT etc., while managing the demanding Class 11 curriculum is on the other side. The Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 offered by Extramarks can aid the students in thoroughly reviewing the chapter’s key ideas and concepts.

The students should initially keep in mind that they must comprehend the types of questions, including the forms of answers anticipated in the questions. Students should practice exercising with the help of Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 from the mobile application and the website of Extramarks. Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 are available for students who are experiencing trouble with queries involving continuous functions.

NCERT Solutions for Class 11 Maths Chapter 1 Sets (Ex 1.6) Exercise 1.6

CBSE Board exams carry a good deal of weightage when it comes to college admissions. Students should study the syllabus thoroughly and understand the chapters and topics that are most relevant in the syllabus. Students may get accurate results to their questions and save time and effort by downloading the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 from the Extramarks website and mobile application.

Students can practice and exercise as many questions as possible from  Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6. When it comes to studying for the board exams or for the exams that are held in schools, using NCERT Solutions and Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 can help the students in their exam preparation. Students should make sure that they are spending some time every day working on practice questions, as practice makes exam preparation perfect. This method will help students get comfortable with the types of questions that will be asked in the exam and increase their chances of scoring well. Students can find a PDF on the Extramarks website to get access to Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6. Additionally, if a student is struggling with a particular topic, they must make sure to focus more on that particular subject. Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 are available on the Extramarks website. These solutions are quite accurate and comprehensive. Any student who is unable to determine the area of inconsistency in equations and solutions can check Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 for assistance. One of the best resources that the students can utilize to answer their Mathematical problems from chapter 1 exercise 1.6 is the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6. Students can get ready to respond to the questions with accuracy, in examinations, after practising with the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6.

If a student is looking for the best NCERT Solutions and Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6, they should check out the expert solutions offered by Extramarks. The students may refer to Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 during the exam preparation time to have a superior explanation for all the problems in Exercise 1.6.

Whenever a student is getting ready for their examinations, they are undoubtedly trying to figure out how to find the best and most easy NCERT Solutions. Fortunately, students can have access to remarkable information through sources like Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6, which are accessible on the official website and mobile application of Extramarks. These solutions can benefit the students by helping them understand the problems and types of questions that come up in exams. These solutions are also available online. To accommodate students in getting ready for their examinations, Extramarks provides a wide selection of resources. The Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 are available for students to refer to in order to study for their Mathematics exams. The students can download Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 in a PDF format directly from the Extramarks website.

Access NCERT Solutions for Class 11 Maths Chapter 1 – Sets

Mathematics is an important field of study that has many practical applications.

Mathematics is used everywhere, whether it is handling the accounting of any company or calculating how much ration is required for household use with a certain amount of money. When a person is solving any problem related to numbers, they are using mathematics. What people understand from Mathematics, they can apply to their daily lives.

Mathematics is a field of study that deals with the measurement, properties, and relationships of quantities. Mathematics is also called the “Queen of Sciences” because it is used in every field of study, such as in Physics, Economics, Chemistry, and even Biology. The official website of Extramarks makes it extremely simple for students to learn and prepare. They can also download the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6.

There are many benefits of learning Mathematics. Perhaps the most obvious benefit is that Mathematics can help individuals to solve problems. Mathematics is also a very powerful tool for modelling the world. It can be used to understand the working of financial systems, the behaviour of the weather, or in the working of the human body structure. Mathematics can also help people to understand complex concepts. For instance, understanding the principles of calculus can help an individual to understand the behaviour of real-world objects like fluids and particles. Mathematics is a powerful tool that can be applied to a variety of real-world situations

There are many ways in which one can improve their Mathematics skills. One way is to practice Mathematics problems daily and regularly. Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 help the students to thoroughly prepare the concepts. Students can further boost their preparation by practising Mathematic past years’ papers available on Extramarks. The students can get help from NCERT Solutions and go through Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 recommended by Extramarks to get an idea of what type of questions come in the examinations. These activities can help a student improve their problem-solving skills and their Mathematics skills as well.

Understanding mathematics is essential for anyone looking forward to their higher education or their career. Numbers are something that fascinates an individual to get indulged in them. They are precise and logical, and they never change. Numbers are the foundation of Mathematics, and without them, the world would be a very different place. Most people take numbers for granted, but to Mathematicians, numbers are the source of beauty and wonder. Numbers can be described in terms of their properties, and there are an infinite number of them. The in-depth information on the topic is provided in the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6, which aids students to have a complete idea about the learning material of the exercise. Mathematicians spend their lives exploring the world of numbers, and there is always more to learn. The beauty of numbers is infinite and a never-ending element. Read on to learn further about Sets and how they function in Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6, suggested by Extramarks.

The way the patterns can be found in the most unexpected places, and the way they can be so complex and yet so simple at the same time. It is easy to find patterns in the natural world. For instance, the way the petals of a flower can be arranged in a pattern, or the way the leaves on a tree can be arranged in a pattern, that’s the most interesting thing about patterns. They are everywhere, and they are always changing, they are always evolving.

This article can help the students to explore a few examples to solve practical problems of

Mathematics with the help of Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6.

One application of mathematics is in the field of statistics. In statistics, the students can use mathematical formulas to analyse data and draw conclusions. For example, an individual might use statistics to determine how likely it is that a person will get sick after being exposed to a health condition.

Another application of mathematics is in the field of engineering. Engineering is the application of both mathematical and scientific concepts to real-world issues. In engineering, a person can use mathematics to design and analyse structures, machines, and systems.

Finally, mathematics can be used in the financial industry as well. In finance, mathematical models are used to predict the future performance of investments. Mathematics can also be used to calculate loan payments and interest rates.

Mathematics has always been a field that is constantly evolving. With new technology and new ways of thinking, the field of mathematics is always changing. Students can make use of technology to help them learn mathematics these days, using computers and mobile phones for the purpose.

Mathematics can be used not only to solve problems, as it has been used in the past. However, it can be used for more creative purposes. For instance, mathematics will be used to create new types of art with the help of numbers and coding. Mathematics is all around us, from the Fibonacci sequence in nature to the Pythagorean theorem. Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 provides students with individualized assistance depending on their requirements and assists them in a comprehensive understanding of the exercise questions.

Mathematics is one of the oldest and most elementary sciences and is used to solve equations and problems with the help of formulas and theorems. In mathematics, students study the properties of shapes, sizes, and numbers. Mathematics is used to solve problems in everyday life, in science, and in engineering. To solve any Mathematical question of Class 11 Maths Ch 1 Ex 1.6, the students can easily avail access to Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 from the mobile application and website of Extramarks.

Mathematics is the foundation of all sciences. Mathematics is the study of numbers, structures, space, and change. It is the language of science. Physics, engineering, and other fields all employ Mathematics to solve issues. Mathematics is also used in business and economics. Mathematics is a fascinating field, and there’s a lot to learn about it. For individuals who wish to study more for their exams, NCERT offers a booklet with the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 in addition to getting assistance with formulas and theorems. Reviewing the Extramarks recommended Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 will give the students a taste of what NCERT Solutions are like. The Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 are recommended by the Extramarks website, starting from NCERT Solutions Class 6, NCERT Solutions Class 7, NCERT Solutions Class 8, NCERT Solutions Class 9, NCERT Solutions Class 10, NCERT Solutions Class 11, and the NCERT Solutions Class 12 are available to students who are looking for solutions for Classes 6 to 12.

Exercise 1.6

To get solutions regarding mathematical questions that are available in Exercise 1.6 then the students can go through Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6.

Exercise 1.6 includes the concepts related to Union (A U B), Intersection (A ∩ B) and Difference between two Sets. Union Set comes under the category of Operation of Sets. A set that comprises  all of the items that are in either Set A or Set B is the Union of two Sets. The symbol “U” indicates Union and if used in between the Sets, for example, A U B, then it is going to be named as Set A is Union of Set B. Another example of a Union of two Sets is when set C, which includes all the items that are either in Set A or in Set B (even those numbers or elements that are in both the Sets), is the Union of the two Sets, Set A and Set B.

Students who find it difficult to tackle such questions that are mentioned in the NCERT textbook of Class 11 Chapter 1, then the students can take help from Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6.

Another Operation of Sets is the Intersection of Sets which includes the Set of all items that are shared by Sets, Set A and Set B is the Intersection of those two Sets. The Intersection of Sets is indicated by the “∩” symbol and if used in between the Sets it will become A ∩ B. The Set containing all the items that are part of both Sets A and B is the intersection of the two Sets, Set A and Set B.

The difference between the two sets can easily be seen if a group of components or elements is part of Set A but are not part of Set B. Additionally, if the students are having trouble understanding the problems that are mentioned in Exercise 1.6, then they can check Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6, which is available on the official website of Extramarks.

Maths NCERT Solutions Chapter 1 – An Overview of Sets

Out of all the chapters in Chapter 1 under the NCERT textbook of Class 11 is the easiest chapter to get top marks in the examinations.

An essential component of modern mathematics is the idea of Sets. Nowadays, practically all areas of mathematics and science make use of this approach. The ideas of relations and functionalities are defined in terms of Sets. An understanding of Sets is required in order to learn the concepts of geometry, sequencing, statistics, etc. Georg Cantor, a German mathematician, created the theory of Sets (1845-1918). While working on “problems on trigonometric series,” he first came upon Sets. In Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 the students can understand some fundamental concepts and procedures by using the strategies and techniques of Sets in this chapter.

The simplest definition of a set in mathematics is a grouping of unique items. Any collection of elements, such as a set of numbers, days of the week, different kinds of automobiles, etc., might be considered a set. A set’s elements are all the items that make up the set or a collection of relations, functions, and distinct elements. When writing a set, curly brackets are used to represent a set. For instance, to represent a set of numbers, the outcome will be, {6,7,8,9}. Set names and symbols begin with an uppercase letter. From the Extramarks website and mobile application, students can quickly get access to the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6. According to set theory, a set’s constituent parts can be anything, including humans, alphabetic letters, integers or numbers, objects, factors, etc. By reading the content in Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6, which Extramarks recommended, students may gain a greater knowledge of chapter 1’s Sets principles as well as a detailed insight into how to answer particular sorts of exercise questions in the chapter.

There are several elements of the Set that helps the students to depict the rational and reasonable connection between various sets. The items mentioned in the set are considered the elements of the Set. A set’s components or elements are denoted by curly brackets enclosing them and commas separating them. The sign “∈” is a variable which is used to indicate that an element is part of a set. On the other hand, if any element is not part of a set then it is going to be specified as ‘∉’. Students can take help from Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 to detect their study and exam preparation by solving difficult equations of Sets.

For the description of sets, many set forms are employed. The order in which the components are listed varies among them. There are three set forms, which are the Semantic form, Roster form and Set builder form. A sentence indicating the elements of a set is described using the Semantic form. Set A, for instance, contains the first five even or odd numbers. On the other hand, the Roster form is the most familiar and common form of the Sets in which the elements of the Sets are separated by commas and enclosed by using curly brackets {}. For example, {1,2,3,4}. The last form, which is the Set builder form, specifies the characteristics or features in the Sets that all the components in a Set share. This form of Set uses a vertical bar “|” to denote the features of the elements in the Sets. Students can use the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 to help them with the questions in that Exercise.

To illustrate the concepts of Sets, there is a procedure that uses the pictorial representation to describe the elements of the Sets and is called the Venn Diagram. There are certain symbols as well that are used in Sets, which are provided in the tabular form below:

SYMBOLS SYMBOLS MEANING
{} Indicates a set
b ∈ A Indicates b is an element of A
a ∉ B Indicates a is not an element of B
n(X) Indicates a total number of elements in a Set
U Indicates Universal Set
Indicates Empty Set
A U B Indicates Set A is Union Set of Set B
A ∩ B Indicates Set A is an intersection of Set B
A ⊆ B Indicates Set A is Subset of Set B
B ⊇ A Indicates Set B is Superset of Set A

Apart from the elements and forms of the Sets, there are many types of Sets too which are, Singleton Sets, Finite Sets, Infinite Sets, Empty or Null Sets, Equal Sets, Unequal Sets, Equivalent Sets, Overlapping Sets, Disjoint Sets, Subset and Superset, Universal Sets, and Power Sets. To know how to apply different symbols and understand types of Sets, the students can check Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 as it makes the learning process easy and efficient.

Singleton Sets are the type of Sets in which only one element in the Set is used. For example, B = {7}. Finite Sets are the Sets that consist of a number of elements which can be counted, for example, {7,9,11,13}. Infinite Sets include a never-ending or infinite number of elements in a Set, like raindrops falling from the sky. Empty or Null Sets involve a Set that does not consist of any element in the Set and is indicated as ‘∅’. If the elements in the Sets are equally proportionate to each other, it comes in the category of Equal Sets. For example, Set A = {2,4,6,8} and Set B = {2,4,6,8}. To have a better understanding of the type of sets the students can study from Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6. On the other hand, the Sets that have unequal elements in the Sets are called Unequal Sets, such as Set A = {2,4,6,8} and Set B = {1,3,5,7}. Equivalent Sets are another type of Set in which the number of the elements are the same but the elements in the Set are different from each other, for example, Set A = {2,4,6} and Set B = {x,y,z}. Overlapping Sets are the Sets that consist when any element in a Set is repeated in another element. For instance, Set A = {2,4,6,8} and Set B = {4,5,7,9}. Disjoint Sets are the type of Sets which include uncommon elements in the Sets such as, Set A = {4,5,6} and Set B = {7,8,9}. When every element in Set A is also present in another Set, Set B, then Set A will become the Subset of Set B (A ⊆ B) and Set B will be considered as the Superset of Set A (A ⊆ B). The combination of all the elements associated with a specific topic or subject constitutes a Universal Set (U). The students can gain knowledge about how to use Union and the intersection of two sets by studying through Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6. The last and final type of Set is Power Sets, which indicates the Set of each Subset that a Set might include. For example, if a Set A = {2,4} then the Power Set of Set A will be PA (A) = { {}, {2}, {4}, {2,4}}. Acknowledge the benefits of the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 from the Extramarks website to have a piece of appropriate knowledge about solving difficult questions quickly.

Extramarks – The Best Place to Get Your Doubts Cleared

Extramarks is an online learning platform and learning application that provides educational services for Kindergarten – Class 12 Board Exams, CAP (Career Assessment Program ), CUET (Central Universities Entrance Test), JEE (Joint Entrance Exam) preparation, the NEET (National Eligibility Entrance Test) preparation, and other competitive exams. Extramarks extend assistance for the students to use facilities of Live classes, get an AI-backed evaluation & analytics on the productivity of the student, benefits of Smart class solutions to have a detailed explanation about the topics and the questions online as well as on the Extramarks application. The students who are in Class 11 can download the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 from the Extramarks website to gain a better concept of how to approach problems and what they should keep in mind while solving any question.

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Extramarks NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.6 is an excellent resource for studying. Extramarks Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 are created with the help of knowledgeable Mathematic professionals. Students can get the NCERT Solutions PDF for Maths, which is accessible in PDF format, to achieve high grades in examinations. Moreover, the most recent CBSE syllabus is rigorously followed in our Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6.

Q.1 If X and Y are two sets such that n ( X ) = 17, n ( Y ) = 23 and n ( X ∪ Y ) = 38, find n ( X ∩ Y ).

Ans.

We have,  n( X )=17                      n( Y )=23n (XY) = 38Since,  n (XY)=n(X)+n(Y)n(XY) =17+2338 =4038 =2 n (XY)=2

Q.2 If X and Y are two sets such that X ∪ Y has 18 elements, X has 8 elements and Y has 15 elements; how many elements does X ∩ Y have?

Ans.

We have, n(XY)=18,n(X)=8 and n(Y)=15Since,  n(XY)=n(X)+n(Y)n(XY)So,        n(XY)=8+1518 =5Thus, the number of elements in the set XY is 5.

Q.3 In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?

Ans.

Let   H=Set of Hindi speaking peopleand  E=Set of English speaking peopleGiven:n(H)=250,n(E)=200 and n(HE)=400n(HE)=Number of people who speak Hindi and EnglishThen, n(HE)=n(H)+n(E)n(HE)   =250+200400   =50Thus, the number of people who speak Hindi and English both is 50.

Q.4 If S and T are two sets such that S has 21 elements, T has 32 elements, and S ∩ T has 11 elements, how many elements does S ∪ T have?

Ans.

Given:n(S)=21, n(T)=32 and n(ST)=11Letn(ST)=xSince, n(ST)=n(S)+n(T)n(ST)          x=21+3211     =42Thus, the number of elements in (ST) is 42.

Q.5 If X and Y are two sets such that X has 40 elements, X ∪ Y has 60 elements and X ∩ Y has 10 elements, how many elements does Y have?

Ans.

Given:n(X)=40, n(XY)=60 and n(XY)=10To find: n(Y)Since, n(xY)=n(X)+n(Y)n(XY)then,  ​      60=40+n(Y)10       6030=n(Y)       30=n(Y)Thus, set Y has 30 elements.

Q.6 In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea?

Ans.

Let   C= Set of people who like coffee   T= Set of people who like teaand  CT=Set of people who like coffee and teaHere, n(C)=37,  n(T)=52 and n(CT)=70Since,n(CT)=n(C)+n(T)n(CT)    =37+5270    =8970    =19Thus,​ 19 people like both coffee and tea.

Q.7 In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis?

Ans.

C=Set of people who like cricketT=Set of people who like tennisCT=Set of people who like cricket and tennisn(C)=40,  n(CT)=65,n(C T)=10n(CT)=n(C)+n(T)n(C T)65=40+n(T)10        n(T)=6530          =35Thus, 35 people like tennis.

Q.8 In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?

Ans.

Let F=Set of people who speak frenchS=Set of people who speak SpanishFS=Set of people who speak French and SpanishFS=Set of people who speak French or Spanishn(F)=50,  n(S)=20 and n(FS)=10n(FS)=n(F)+n(S)n(FS)         =50+2010          =60Thus, 60 people speak at least one of these two languages.

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FAQs (Frequently Asked Questions)

1. What are the important topics and concepts that are there in Chapter 1, Sets?

The key subjects of Chapter 1 which is Sets of Class 11 are the fundamental idea of Sets and their representations, various kinds of Sets, Venn diagrams, and Operations on Sets. For each test, students can review the prior year’s question papers to better comprehend the topics’ horizontal and vertical distribution. They can also go through the unsolved questions given in NCERT Solutions as well as in Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6. Students must review the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 to learn more about, what and how the type of questions come in the exams. The Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 is also very significant for the students who want to prepare for their board exams in future as it also consists of questions and sample papers that are of high level.

2. Where can I find the complete solutions for NCERT Class 11 Maths?

The Students can get detailed Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 from Extramarks’ official website. The Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 is easily accessible on the Extramarks official website and web application. The students can take help from  Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 to understand how Sets of formulas and symbols work. In Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 there are many unsolved questions as well as sample papers also that are not only available for Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 but are also there for other chapters of Class 11 in the NCERT Solutions suggested by Extramarks website.

3. Can Extramarks' Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 be relied upon?

Yes absolutely, the solutions provided in Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 have been approved by knowledgeable Mathematics experts, and they are highly reliable and accurate. The students can get errorless solutions to the questions mentioned in Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6. The Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 can aid the students in decreasing the challenges and difficulties that are being faced by them while solving the questions given in Exercise 1.6 to improve their probability of passing their exams with great marks.

4. In Class 11 Maths Ch 1 Ex 1.6 what are some of the concepts that I should keep in mind?

While going through the Class 11 Maths Ch 1 Ex 1.6, the students can understand what Union, Intersection and Difference between two Sets is all about. The topics Union, Intersection and Difference between the two sets, can help the students to solve the questions of Exercise 1.6 easily. If the students are not able to get a better understanding of the topics that are required to solve Exercise 1.6 then they can prefer Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 to get a step-by-step explanation of the questions.

5. Do the answers or solutions to all of the questions mentioned in the NCERT Textbook are there in Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6?

Yes, all of the questions in Exercise 1.6 are there in the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 with step-by-step solutions included in the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6. For convenient access for the students, each solution is positioned just beneath the relevant question number. With the help of the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6, the students will be able to tackle the problems in Exercise 1.6 with great efficiency, which will help the students to do better in their exams and get higher grades. Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 are the perfect solutions for the students who want to solve extra questions and sample papers along with that they can also strengthen their preparation for the Mathematics exam by studying Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6.

6. Why should I download Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6? What are the benefits of downloading Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6?

The Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 can help students in many ways. Students can gain a bundle of knowledge about the topics and content covered in Exercise 1.6 from the Extramarks’ Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 in a number of different ways. Utilising the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6, students may retain the ideas they have previously acquired. Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 makes formulas and concepts more durable in the mind of the students. If students often review the practice questions provided in Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6, they are less likely to forget the study content they have already learnt. As a result, they could score better on their examinations.

7. How can a student study well for the Mathematics exam without making any mistakes in the NCERT Mathematics questions that are available in Exercise 1.6?

In order to get better marks on the Mathematics exams, it is crucial to keep going over the chapters and do as many practice questions and solve sample papers as possible. Practising Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 can help the students to get well prepared for their examinations. The students can study Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 to easily get solutions to the questions where they are missing relevant concepts and topics. Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 sponsored by Extramarks, can make the exam preparation easy for the students who are seeking help from online resources. By following the solutions of Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6 and then taking the Mathematics exam of Class 11, the students can finally understand what is the importance of using Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6.