# NCERT Solutions for Class 11 Maths Chapter 1 Sets (Ex 1.1) Exercise 1.1

Central Board of Secondary Education CBSE is one of the biggest and the most highly reputed board that functions in India. There are many schools affiliated with the CBSE Board, which is spread all over India. CBSE follows an extremely objective approach to its entire curriculum. CBSE values the development of concepts, ideas, and questions based on their application. In the CBSE board exam, the questions asked of the students are very conceptual, and students have to be very analytical to be able to answer them. CBSE implores its students to revise concepts they have learned and fully understand them instead of simply memorising them. CBSE asks questions that are objective, although all the questions are application-based extensions of the topics that are in the syllabus. Students ought to have a very deep and solid understanding of all the theories that are discussed in the syllabus for them to do well in the exams. CBSE emphasises the importance of understanding the theories and all the fundamental postulates related to them. The questions in the CBSE board exams are based on deductions from these concepts and how they can be applied in real life. Therefore, students are expected to be highly consistent with their studies. The syllabus followed by all the CBSE schools is vast, and therefore, for students to score well, they are advised to finish the syllabus as soon as they can and begin revising. Recapitulation is one of the most highly appreciated habits that a student can employ in their study habits. The final grade in CBSE is calculated based on the average of all the marks a student has scored in all the subjects, so a student has to perform well in all the exams for them to score well in them. Students often get easily overwhelmed, but experts at Extramarks reassure the students that if they study regularly and revise often, they can easily score well in the exams.

The National Centre of Educational Research and Training NCERT is a central organisation that operates in India and was set up by the Indian government. NCERT assists the Central Government and the State Governments regarding matters based on the country’s educational and educational development. NCERT provides their guidelines and syllabus, and CBSE strictly adheres to them. CBSE demands all the schools affiliated with it follow the same syllabus and guidelines. NCERT, following its syllabus and guidelines, publishes their book. CBSE implores all its students to follow the NCERT textbook as their main textbook. This way, students can easily get accustomed to the distinct CBSE pattern. Experts at Extramarks implore students to refer to the NCERT textbook as their main textbook. NCERT has been working to widen its reach and has introduced various provisions for students. These provisions include the introduction of annual journals where students can get themselves published, and there are great international exchange programmes for students to apply to. There are a plethora of other amazing amenities available as well. NCERT, therefore, wants its students to use its platform wisely and for their academic success.

Mathematics is one of the core subjects for anyone who is in their Class 11 CBSE and has taken up Science as their stream of expertise. The concepts that are included in Mathematics echo in every corner of other subjects like Physics and Chemistry. The Mathematics syllabus is vast and students often lose track of their revision while trying to finish the syllabus. The experts at Extramarks have constantly reminded its students not to get overwhelmed with it and the best way to deal with this is to revise the problems that are already solved again. Mathematics is a very versatile subject with various facets to it. In a class 11 CBSE level, Mathematics gets divided into distinct sections like sets and function, algebra, trigonometry, calculus, coordinate geometry, pure Mathematics and statistics and probability. Each section has extremely distinct ideas which overlap with each other and therefore students must have an even understanding of the entire syllabus. Experts at Extramarks advise its students to consistently and steadily move ahead with the syllabus and when the students have made significant progress they must start revising. While students carry on with the syllabus, they must remember to revise the problems that they have done.

Chapter 1 is the first chapter of the CBSE class 11 curriculum is Sets from the first section Sets and Functions. This chapter discusses ideas that include Sets and Their Respective Representations, Empty Sets, Finite and Infinite Sets, Equal Sets, Subsets, Subsets of A Set of Real Numbers, Universal Sets, Venn Diagrams, Union and Intersection of Sets, Complement of a Set and Properties of the Complement. Students must learn this chapter in detail because all the concepts will repeated in the following chapter, Relations and Functions.

Experts at Extramarks suggest that when a student is in regular touch with all the chapters that they have completed then students seldom lose marks in those sections during the exams. One of the best ways that students can regularly revise is by referring to the NCERT Solutions released by Extramarks. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 is compiled by top educators at Extramarks who are highly qualified. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 are written in extremely lucid language. The solutions have step-by-step explanations of all the questions in the NCERT textbook. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 are provided in a chronological manner matching the sequence of the questions in the NCERT textbook. These solutions contain all the answers to every unanswered question in the NCERT textbook. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 have all the problems explained systematically. Experts at Extramarks suggest that using the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 regularly is one of the most efficient ways a student can adopt for regular revision.

While students are solving mathematics problems by themselves, they often encounter doubts while solving them. Top educators at Extramarks have suggested not to get scared because of the wrong attempts. When a student causes an error, say, experts, is when they can recognise the concepts that they need to re-address. While students are solving the NCERT problems, they can always match their answers with the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1. When the solutions are wrong and they do not correspond with the solution in NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 then students can refer to the solutions to check the correct way to solve them.

While compiling the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1, educators at Extramarks made sure that the solutions provided are written with optimum comprehensibility. Each step provided in the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 for every problem is explained with simplicity yet in detail. All the steps involved in the solutions are explained magnanimously. When students themselves locate the flaw in their attempt, they learn from it. After solving the NCERT questions, students are advised to revisit the same questions. They must refer to the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 to check if their answer is correct. If the solution matches the solution in NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 then students can assure themselves that they have a good grasp of the chapter. If the solution doesn’t match, then experts at Extramarks have advised the students not to get worried. When a student commits an error, it underscores the concepts that are not quite clear from the student’s end. Students can refer to the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 when they encounter an error. Top educators at Extramarks have reiterated the importance of solving the problems they have already solved. When students revise, they constantly strengthen their concepts, making them more prepared for their exams.

A multitude of students transition from a different board to CBSE. Students who were a part of CBSE for class 11 are used to the vast syllabus of CBSE. These students are used to the question paper pattern of the board. These students are used to the NCERT guidelines. Although students who transition from other boards find it difficult to adjust to the massive CBSE syllabus and the distinct paper pattern. Educators have advised students that there is nothing to fear about this change. The direct solution as noted by experts is to steadily move ahead with the syllabus and make sure they allocate some time solely for revising. They are advised to regularly utilise the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 as a tool for revision. The explanations for every step are provided by qualified professionals and the language is straightforward while being highly effective. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 have been made sure to have all sound answers and explanations which can be understood by anyone. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 are crafted by qualified teachers with relevant experience with the CBSE board which makes sure that NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 can be accessed by anyone from the CBSE board irrespective of their academic background. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 guides students in their Class 11 from the beginning. When students regularly refer to NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 they get used to the structure of answers that is acceptable for CBSE. Students initially make various errors but that should never make a student fear the subject. The efficacy of NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 is observed gradually over time.

**H2 – NCERT Solutions for Class 11 Maths Chapter 1 Sets (Ex 1.1) Exercise 1.1**

Mathematics is a subject that demands regular and consistent work. Most often, when students are solving problems from the NCERT textbook, they stumble upon various doubts. The way the NCERT exercises are compiled, the problems are arranged in increasing order of difficulty. The chapters are well spaced out and divided into distinct sections. Students are advised to be extremely careful when they are solving these problems. If a student comes across a doubt, they are advised to not feel under confident because doubts are very important in a subject like Mathematics. One of the primary use of NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 is that it can be used for revision. When a student goes through the solutions in NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 they can find out the reason behind their doubt. The way all the steps are well defined in NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 helps students instantly. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 is written in an extremely simple and easily understandable language to facilitate students’ understanding of the logic behind complicated problems. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 strictly adheres to the NCERT guidelines, and therefore, when students go through it, they get a very clear idea of the kind of answers that are expected by CBSE.

Extramarks released NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 to assist as many students as possible. Besides the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1, Extramarks releases various other resources for students like live classes, recorded classes, tests and quizzes, options for live chats and heavily analyzed performance reports. Students can often miss out on classes, so they can access any of the resources anywhere and anytime. Since students can access these resources anytime, they feel less stressed out. Sets is the first chapter in the Class 11 CBSE Mathematics course, and teachers implore their students to give this chapter a lot of focus. Sets lay the foundation for various other mathematical concepts that are in the course later. Sets is a highly theoretical topic and Extramarks utilise various modern teaching methods to explain this chapter. The lectures are supplemented with various illustrations, which are highly detailed and easily understandable. These Illustrations are made by extremely trained professionals. Even the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 are illustrated in detail so that students can understand it better. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 is also available in Hindi because CBSE allows its students to give the exam in two languages – English and Hindi.

NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 in Hindi helps out students opting for the CBSE Class11 exam in Hindi. There is a general dearth of study materials in Hindi. Therefore, NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 in Hindi provides great assistance to the students. The vocabulary of Mathematics alters in the Hindi language and the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 in Hindi gets the student accustomed to the Hindi equivalents of various critical terminology. It is made sure the educators who compile the solutions and translate them into Hindi have relevant qualifications and that they are very well versed in the Hindi language. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 is written in a very lucid language which helps students to grasp the ideas very quickly.

Click on the link below to access the class 11 maths NCERT solutions chapter 1 exercise 1.1

### H3 – Access NCERT solutions for Class 11 Math Chapter 1 – Sets

NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 can be accessed directly from the Extramarks website. These solutions help students who are preparing for their Class 11 CBSE exam as well as students who are preparing for competitive exams. The CBSE board is highly recommended for students who are planning on appearing for the various competitive exams that happen in India, like JEE Mains, JEE Advanced, NEET, etc. The competitive exams follow an objective pattern as well, based on entirely multiple-choice questions. Therefore, when students refer to the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 while they are revising, they are indirectly laying the foundation for their preparation for these competitive exams. A significant number of questions are asked in this section, and therefore teachers recommend students prioritise this chapter. When students use NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 as a reference they must look at each solution with great attention to detail. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 have all the solutions provided in a way, that keeps in mind the needs of the student. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 have detailed illustrations whenever necessary.

There are many test series on the Extramarks website. Students can give these tests and they can observe that the questions in the tests are very similar to the questions in the NCERT textbook which means that Extramarks follows the NCERT guidelines strictly. A student must go through their NCERT textbook with great precision. To obtain maximum marks a student has to be very well accustomed to the exact kind of answers that CBSE wants from its students. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 are curated and compiled by teachers who are highly esteemed and have all the relevant credentials and experience with CBSE students. Therefore not only do the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 help out students with the substance of the subject but they also provide the student with all other relevant information. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 helps students with getting accustomed to the specific kind of questions that can be asked in this chapter. Students are awestruck when they see the plethora of questions that can be asked from the same simple concept of Chapter 1 – Sets.

Click on the link below to access the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1

### H3 – Topics Covered in Exercise 1.1 Class 11 Maths NCERT

Sets is the first chapter of the CBSE Class 11 Syllabus. The concepts in these chapters are very important to understand because questions from this section are frequently asked in the Class 11 exam as well as in other competitive exams. When students refer to NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 they get a very substantial understanding of the Chapter.

The concept of “set” mainly includes the idea that it is an entity that is a collection of very individual objects that make up a group. These groups can contain any countable entity, and they can be of any number. When a Set is to be denoted curly brackets are used. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1, therefore, provides an amazing introduction to the chapter.

### H3 – A. Introduction to Sets

Students have learned about this topic in their earlier classes and therefore the initial portions are almost like a revision of old concepts. When a student is solving this chapter, they must take the first few exercises very seriously because if the fundamental concepts are not cleared it might cause big issues later on. Therefore, students must use the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 properly and efficiently.

### H3 – B. Sets and their Representations

Sets are a collection of similarly represented objects. Therefore, setting and knowing the different ways of representing them is very important.

### H3 – Representation of Sets

This portion of the chapter discusses the different ways a set can be represented – Tabular and set-builder forms.

### H3 – Importance of Sets for Class 11 Maths

Students learning sets in CBSE Class 12 Mathematics must know that this chapter is not exclusive to only Mathematics. The ideas echo in various subjects as well as the competitive exams. Class 11 Maths Chapter 1 Exercise 1.1 Solutions

Educators at Extramarks have suggested the importance of the introductory exercise in this chapter. Students must use the first exercise as an opportunity to revise everything they learned from this chapter in the earlier classes. Therefore, if students come across any doubts or questions in that exercise, they must immediately refer to NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 helps students greatly improve their fundamental concepts of the chapter, strengthening the foundation of the chapter as well.

### H2 – Class 11 Maths Chapter 1 – Exercise 1.1

Every student begins their Mathematics syllabus with Sets. Sets are not among the complicated chapters included in the syllabus but since the chapter is extremely theoretical, students have to visualise the problem very carefully and that is what gets tricky. Experts at Extramarks suggests students create a visual aid in their answer sheet if they cannot visualize the problem. The correct way to solve questions from this chapter is provided in NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1. Students therefore must pay attention to NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 with seriousness to understand the correct way to answer questions from this chapter.

### H3 – Exercise 1.1

The first exercise focuses on the basic concepts of the chapter. They learn about the different ways sets can be represented. The problems in the subsequent exercises are contingent on a well-rounded understanding of this exercise. Various subjective and explanation-based questions are asked in this exercise. Since CBSE students are not used to questions in Mathematics asking theoretical questions, it is imperative they learn how to answer questions properly from this exercise. Therefore, when students use NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 for revision purposes, they must put great emphasis on the way the solutions are provided in the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 is a great and much-needed resource for students.

Click on the link to access the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1

### H3 – Exercise 1.2

Concepts like the null set are mainly discussed in this exercise. Every exercise discusses a singular concept and they are dealt with in detail. Experts at Extamarks want their students to devote a decent amount of time to understand each exercise. They must use the solutions for these exercises exactly the way they were told to use for the first exercises with NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1.

### H3 – Exercise 1.3

This exercise delves deep into the different kinds of equations that can be involved in the milieu of sets. Students learn about the right notations and the correct signs that must be used by students. This exercise is highly dependent on everything they have learned in the earlier exercises. NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.1 can provide great guidance to students if they have doubts about this exercise from the first exercise. If there are doubts about other exercises, they can refer to the solutions to those exercises.

### H3 – Exercise 1.4

This is the most crucial exercise in this chapter. This exercise is based on the union of two sets or more. This exercise is highly based on the properties of the different kinds of sets and their representation which a student learned in the first exercise. Therefore if a student comes across a doubt related to earlier concepts they must immediately refer to their older materials or they can even refer to NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 for guidance. In this exercise, students will learn about the union symbol (‘U’). Students learn about the various kind of properties that union sets have like commutative, associative, identity, distributive and intersection properties.

### H3 – Exercise 1.5

From the fifth exercise, complicated problems from this chapter are introduced. The problems mainly revolve around sums that are based on multiple union sets.

### H3 – Exercise 1.6

In this exercise, students learn about one of the most important concepts in Sets – The intersection of two sets, represented by the symbol (‘∩’). In this exercise, students will learn about the intersection symbol (‘U’). Students learn about the various kinds of properties that intersection sets have, like commutative, associative, identity, distributive, and intersection properties.

### H3 – Miscellaneous Exercise

This exercise discusses all the concepts that were learned in the chapter. NCERT provides various questions in this exercise. Concepts learned from the first to the last exercise are all repeated here. Therefore, teachers advise students to revise everything they learned before attempting to solve this exercise. If students have persisting doubts about these exercises, they can refer to the Extramarks solutions of all the other exercises, like NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1.

### H3 – Access other exercise solutions of Class 11 Maths Chapter 1- Sets

### H3 – About Extramarks:

Like the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 Extramarks provides solutions to all the CBSE courses of every subject of every class. The solutions are provided in a way which can be discerned by anyone. Students can use the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 as a reference. Extramarks provides additional resources to students like live classes, recorded lectures, live chat options, tests and quizzes, performance analysis reports and much more.

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**Q.1 ** Which of the following are sets ? Justify your answer.

(i) The collection of all the months of a year beginning with the letter J.

(ii) The collection of ten most talented writers of India.

(iii) A team of eleven best-cricket batsmen of the world.

(iv) The collection of all boys in your class.

(v) The collection of all natural numbers less than 100.

(vi) A collection of novels written by the writer Munshi Prem Chand.

(vii) The collection of all even integers.

(viii) The collection of questions in this Chapter.

(ix) A collection of most dangerous animals of the world.

**Ans.**

(i) Yes, the collection of all the months of a year beginning with the letter J is a set.

Set = {January, June, July}.

(ii) The collection of ten most talented writers of India is not a set. Since, there is no specific parameter to define a talented writer.

(iii) A team of eleven best-cricket batsmen of the world is not a set. Since, it is difficult to find the best-cricket batsman of the world.

(iv) The collection of all boys of in our class is a set.

Since, this set can be represented as

A = {x: x is a boy of our class.}

(v) Collection of all natural numbers less than 100 is a set. Because it is well define and can be represented as = {x: x is a natural number less than 100}

(vi) A collection of novels written by the writer Munshi Prem Chand, is a set. Since, it is a collection of well defined elements.

(vii) The collection of even integers is a set because it’s all elements are well defined.

(viii) The collection of questions in this Chapter is a set. Since, all the elements of set are well defined.

(ix) A collection of most dangerous animals is not a set as most dangerous animals are not well defined.

**Q.2 **

**Ans.**

$\begin{array}{l}\left(\mathrm{i}\right)\text{\hspace{0.33em}}5\in \mathrm{A}\text{\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}}\left(\mathrm{ii}\right)\text{\hspace{0.33em}}8\notin \mathrm{A}\text{\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}}\left(\mathrm{iii}\right)\text{\hspace{0.33em}}0\notin \mathrm{A}\\ \left(\mathrm{iv}\right)\text{\hspace{0.33em}}4\in \mathrm{A}\text{\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.17em}}\left(\mathrm{v}\right)\text{\hspace{0.33em}}2\in \mathrm{A}\text{\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}}\left(\mathrm{vi}\right)\text{\hspace{0.33em}}10\notin \mathrm{A}\end{array}$

**Q.3 ** Write the following sets in roster form:

(i) A = {x: x is an integer and –3 < x < 7}

(ii) B = {x: x is a natural number less than 6}

(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}

(iv) D = {x: x is a prime number which is divisor of 60}

(v) E = The set of all letters in the word TRIGONOMETRY

(vi) F = The set of all letters in the word BETTER

**Ans.**

(i) A = {x: x is an integer and –3 < x < 7}

= {– 2, –1, 0, 1, 2, 3, 4, 5, 6}

(ii) B = {x: x is a natural number less than 6}

= {1, 2, 3, 4, 5}

(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}

= {17, 26, 35, 44, 53, 62, 71, 80}

(iv) D = {x: x is a prime number which is divisor of 60}

= {2, 3, 5}

(v) E = The set of all letters in the word TRIGONOMETRY

= {T, R, I, G, O, N, M, E, Y}

(vi) F = The set of all letters in the word BETTER

= {B, E, T, R}

**Q.4 ** Write the following sets in the set-builder form:

(i) (3, 6, 9, 12}

(ii) {2, 4, 8,16,32}

(iii) {5, 25, 125, 625}

(iv) {2, 4, 6, . . .}

(v) {1,4,9, . . .,100}

**Ans.**

(i) (3, 6, 9, 12} = {x : 3n, n is a natural number and 1 ≤ n ≤ 4}.

(ii) {2, 4, 8, 16, 32} = {x: 2^{n}, n is a natural number and 1 ≤ n ≤ 5}.

(iii) {5, 25, 125, 625 } = {x: 5^{n}, n is a natural number and 1 ≤ n ≤ 4}.

(iv) {2, 4, 6, . . .}= {x: x is an even natural number}

(v) {1,4,9, . . .,100} = {x: x = n^{2}, n is a natural number and 1 ≤ n ≤ 10 }

**Q.5 **

**Ans.**

(i) A = {1, 3, 5, 7, …}

(ii) B = {0, 1, 2, 3, 4}

(iii) C = {–2, –1, 0, 1, 2}

(iv) D = {L, O, Y, A }

(v) E = { February, April, June, September, November}

(vi) F = {b, c, d, f, g, h, j}

**Q.6 ** Match each of the set on the left in the roster form with the same set on the right described in set-builder form:

(i) {1, 2, 3, 6} (a) {x: x is a prime number and a divisor of 6}

(ii) {2, 3} (b) {x: x is an odd natural number less than 10}

(iii) {M,A,T,H,E,I,C,S} (c) {x: x is natural number and divisor of 6}

(iv) {1, 3, 5, 7, 9} (d) {x: x is a letter of the word MATHEMATICS}.

**Ans.**

(i) {1, 2, 3, 6} = (c) {x: x is natural number and divisor of 6}

(ii) {2, 3} = (a) {x: x is a prime number and a divisor of 6}

(iii) {M, A, T, H, E, I, C, S} = (d) {x: x is a letter of the word MATHEMATICS}

(iv) {1, 3, 5, 7, 9} = (b) {x: x is an odd natural number less than 10}

## FAQs (Frequently Asked Questions)

### 1. Who can use the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1

NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 can be used by anyone in their Class 11 CBSE. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 is also available in Hindi and therefore even the students who are planning on appearing in the exam in Hindi can use these solutions as well. Many students transition from other boards to the CBSE board. The primary reason behind this is CBSE curriculum suits best students who are preparing for competitive exams. Teachers have reiterated the importance of inculcating a habit of regular practice. When students are solving the first exercise and they come across doubts they are asked to refer to NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1. Although doubts do not surface in the first exercise. When students move further into the chapter and the ideas discussed in the earlier portions of the chapter merge with their later counterparts the question gets complicated. Students must not get scared because of this. If the doubts that resurfaced are related to the first exercise then they must refer to NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1. The solutions in the NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 are provided with a thorough review and it was made sure that the solutions are correct and easily understandable. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 are created and curated with great care by highly qualified teachers from Extramarks.

### 2. How must a student use NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1?

NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 is one of the most efficient study materials that a class 11 CBSE student has access to. When a student is learning about Sets and they start solving the first exercise, they might come across some doubts. When students encounter doubt, they must not feel insecure. Doubts are ways through which students understand exactly where their confusion is. Teachers ask students to refer to NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 when such a situation happens. They can tally their answer with the solution provided in NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1. After tallying if the doubt persists then they can access the other resources available on the Extramarks website. When students’ progress with their syllabus, teachers implore them to go back to the chapters they have done and revise them. During revision, students must take every NCERT question very seriously. Students while revising must attempt to answer the question first by themselves. If they fail, they must refer to NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 and pay great attention to them to figure out what a student is missing out on.

Students are asked to refer to NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 to figure out the exact way and technique a student must employ to answer questions in the exam. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1 is often used by students before the exam. When students solve problems by themselves and figure out their doubts by themselves it provides a great confidence boost. NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1, therefore, has dynamic uses.

Students have been known to score very well marks in their exams after getting help from NCERT Solutions for Class 11 Maths Chapter 1 Exercise 1.1. Although the solutions alone would not help students to score well. Students need to be very consistent with their work. They must not leave any chapters or sections from the syllabus. Students must revise the chapters and exercises regularly. Students often get too overwhelmed thinking about everything that they need to do although teachers at Extramarks have reassured students not to stress a lot. If they follow these simple tricks then it would be very easy for the students to score well on the exam.

CBSE Board wants its students to have a very fluid as well as an in-depth understanding of the entire syllabus. CBSE curriculum is generally difficult but the Science course in Class 11 and Class 12 is advanced and therefore students need to work hard. Students use the Extramarks website for the solutions but educators at Extaramrks suggest the students use the additional resources provided as well.