Apurva Institute
1. Sets-Exercise 1.1 Mathematics Class 11 In English
Last Updated : 06 March 2026
Get updated solved mathematics for class 11 chapter 1. Sets Topic Exercise 1.1 with clear explanations free study material in English medium.
1. Sets-Exercise 1.1 Mathematics Class 11 In English
Last Updated : 06 March 2026
1. Sets-Exercise 1.1 Mathematics Class 11 In English
1. Sets
Exercise 1.1
Exercise 1.1
Q1. 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.
Answers:
(i) Members of this collection are:
January, June, July
∴ this collection is well-defined and hence, It is a set.
(ii) A writer may be most talented for one person but may not be so for other.
∴ this collection is unclear term and not well-define, so it is not a set.
(iii) A batsman may be best to one person and may not be so for other. Hence the term 'best' is unclear and not well-define. So it is not a set.
(iv) The members of this collection is definite as a class room.
∴ This collection is well-defined and so it is a set.
(v) The collection of all natural numbers less than 100 is well-define as it can be kept in a set like 1, 2, 3, 4, .......... 99.
∴ this collection is a set.
(vi) All novels writen by the writer Munshi Prem Chand can be kept in a group and this collection is well-define. So it is a set.
(vii) All even number like 2, 4, 6, 8, ............. can be kept in a group.
∴ this collection is well-define and so it is a set.
(viii) Questions in this chapter are clearly can be kept in well-define group. Therefore this collection is set.
(ix) Any animal may be the most dangerous for someone but may not be for other. Therefore this term is unclear and not well-define. So it is not a set.
Q2. Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank spaces:
(i) 5. . . . . . A (ii) 8 . . . . . . A (iii) 0. . . . . . A
(iv) 4. . . . . . A (v) 2. . . . . . . A (vi) 10. . . . . . A
Answers:
(i) 5 ∈ A
(ii) 8 ∉ A
(iii) 0 ∉ A
(iv) 4 ∈ A
(v) 2 ∈ A
(vi) 10 ∉ A
Q3. Write the following sets in roster form:
(i) A = {x : x is an integer and –3 ≤ x < 7}
Solution:
A = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6 }
(ii) B = {x : x is a natural number less than 6}
Solution:
B = {1, 2, 3, 4, 5}
(iii) C = {x : x is a two-digit natural number such that the sum of its digits is 8}
Solution:
C = (17, 26, 35, 44, 53, 62, 71, 80}
(iv) D = {x : x is a prime number which is divisor of 60}
Solution:
Divisor of 60 ⇒ 2, 3, 4, 5, 6, 12, 15, 20, 30, 60
but looking for prime number, which are 2, 3, 5
∴ D = {2, 3, 5}
(v) E = The set of all letters in the word TRIGONOMETRY
Solution:
E = {T, R, I, G, O, N, M, E, Y}
Note: repeated letter can only be kept once.
(vi) F = The set of all letters in the word BETTER.
F = {B, E, T, R}
Q4. Write the following sets in the set-builder form :
(i) (3, 6, 9, 12}
Solution:
A = {x : x is a natural number multiple of 3 and x < 15}
Or
A = { x : x = 3n, n ∈ N and 1≤ n ≤4}
(ii) {2,4,8,16,32}
Solution:
B = { x : x = 2n , n ∈ N and 1≤ n ≤5}
(iii) {5, 25, 125, 625}
Solution:
C = {x : x = 5n , n ∈ N and 1≤ n ≤4}
(iv) {2, 4, 6, . . .}
Solution:
D = {x : x is an even natural number }
(v) {1,4,9, . . .,100}
Solution:
E = {x : x = n2, n ∈ N and n < 11 }
Or
E = {x : x = n2, n ∈ N and 1≤ n ≤10 }
Or
E = {x : x = n2, where n is the first 10 natural number }
Q5. List all the elements of the following sets :
(i) A = {x : x is an odd natural number}
Solution:
A = {1, 3, 5, 7, 9, ....... }
|
(ii) B = {x : x is an integer, - |
1 |
< x < |
9 |
} |
|
2 |
2 |
B = {0, 1, 2, 3, 4}
(iii) C = {x : x is an integer, x2 ≤ 4}
Solution:
x ≤ √4
x ≤ ±2
the number between -2 to 2.
∴C = {-2, -1, 0, 1, 2}
(iv) D = {x : x is a letter in the word “LOYAL”}
Solution:
D = {L, O, Y, A}
(v) E = {x : x is a month of a year not having 31 days}
Solution:
E = {February, April, June, September, November}
(vi) F = {x : x is a consonant in the English alphabet which precedes k }.
Solution:
consonant befor Letter 'k'
F = {b, c, d, f, g, h, j}
Q6. 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}. |
Solution:
(i) ------------------ (c)
(ii) ------------------ (a)
(iii) ------------------ (d)
(iv) ------------------ (b)
Why Our NCERT Solutions Is Matters For Your Study?
NCERT Solutions are one of the most trusted study resources for students preparing for school exams and board examinations. These solutions help students understand every concept clearly and improve their academic performance. In today’s competitive education system, simply reading the textbook is not enough. Students need proper explanations and accurate answers to understand topics in depth. That is why NCERT Solutions for Classes 6 to 12 are considered essential for effective learning and exam preparation.
On this page, students can find latest NCERT Solutions prepared according to the current CBSE syllabus. These solutions are created by subject experts to help students understand every question in a simple and easy way. With the help of chapter-wise NCERT answers, students can quickly revise important topics and strengthen their concepts. Whether you are preparing for school tests, annual exams, or board exams, these NCERT textbook solutions will guide you step by step.
NCERT Solutions for Class 11 mathematics Chapter 1. Sets Topic Exercise 1.1
NCERT Solutions for Class 11 mathematics Chapter 1. Sets Topic Exercise 1.1 are prepared to help students understand important concepts of the chapter in a simple and clear manner. These solutions are based on the latest CBSE syllabus and follow the official NCERT textbooks. Students who are searching for accurate answers and step-by-step explanations can use these solutions to improve their learning and prepare better for school exams as well as board examinations.
In this section you will find Class 11 mathematics NCERT Solutions covering important questions, explanations and concept-based answers. Each question from the NCERT book is solved carefully so that students can understand how to write answers correctly in examinations. These solutions are also useful for quick revision before tests and assignments.
Why NCERT Solutions Are Important for Class 11 mathematics
NCERT books are considered the most reliable study material for CBSE students. Most examination questions are directly based on NCERT textbooks. Therefore studying NCERT Solutions for Class 11 mathematics helps students understand the exact pattern of questions and the correct method of answering them.
By practicing the questions from Chapter 1. Sets, students can strengthen their conceptual knowledge and improve their analytical thinking skills. These solutions also help students identify the most important topics and prepare effectively for school examinations.
About Chapter 1. Sets of Class 11 mathematics
Chapter 1. Sets is an important part of the Class 11 mathematics syllabus. This chapter explains several key concepts which are essential for understanding the subject in detail. Students often face difficulties while solving textbook questions related to this chapter. That is why NCERT Solutions for Chapter 1. Sets are provided to explain every concept in a simple and structured way.
The explanations provided here follow the official NCERT approach so that students can easily relate them to their textbook content. By studying these answers carefully, students can learn how to structure their answers and present them clearly in exams.
Understanding Topic: Exercise 1.1
The topic Exercise 1.1 plays a significant role in Class 11 mathematics Chapter 1. Sets. Students must understand this topic clearly because it often appears in examinations in the form of short answer or long answer questions. The solutions provided here explain the topic in a step-by-step format so that students can easily grasp the concept.
By studying Exercise 1.1 carefully, students can build a strong foundation in the subject and improve their overall academic performance. These solutions also help students revise the topic quickly before examinations.
Benefits of Using NCERT Solutions
- Concept clarity: Each answer explains the concept in simple language.
- Exam preparation: Solutions follow the CBSE exam pattern.
- Quick revision: Students can revise important questions quickly.
- Accurate answers: All solutions are based on the official NCERT textbook.
- Better understanding: Step-by-step explanations improve learning.
Students studying NCERT Solutions for Class 11 mathematics Chapter 1. Sets can easily understand the important points of the chapter. These solutions are also useful for completing homework assignments and preparing for tests.
Study NCERT Solutions in english
These solutions are available in english medium so that students can easily understand the concepts in their preferred language. Whether students are studying in Hindi medium or English medium, these solutions help them learn the subject more effectively and prepare confidently for examinations.
By practicing questions from Class 11 mathematics Chapter 1. Sets Topic Exercise 1.1 , students can strengthen their conceptual understanding and improve their problem-solving skills.
Conclusion
In conclusion, NCERT Solutions for Class 11 mathematics Chapter 1. Sets Topic Exercise 1.1 provide complete guidance for students who want to understand the chapter thoroughly. These solutions make learning easier, help students revise important concepts and improve their exam performance. Students should practice these answers regularly to build strong fundamentals and achieve better results in their examinations.
1. Sets-Exercise 1.1 Mathematics Class 11 In English
Hindi Medium Students/Teachers/Tutors:
All Chapters mathematics Class 11
Class Wise NCERT Solutions
Students can find NCERT Solutions for Class 6, Class 7, Class 8, Class 9, Class 10, Class 11, and Class 12 on this page. Each class includes detailed solutions for important subjects such as Science, Mathematics, Social Science, English, and Hindi. These solutions are carefully prepared to ensure accuracy and clarity.
- NCERT Solutions for Classes 6 to 8 – Ideal for building strong basic concepts.
- NCERT Solutions for Classes 9 and 10 – Helpful for board exam preparation.
- NCERT Solutions for Classes 11 and 12 – Important for advanced concepts and competitive exams.
1. Sets-Exercise 1.1 Mathematics Class 11 In English Study Materials For Class 6 to 12
Benefits of Studying with NCERT Solutions
Using online NCERT Solutions makes learning easier and more convenient. Students can access the study material anytime and anywhere using their mobile phone, tablet, or computer. This flexibility helps students manage their study time more efficiently and prepare better for exams.
- Easy online access anytime and anywhere.
- Time-saving preparation with ready solutions.
- Better practice with accurate answers.
- Effective revision before exams.
Improve Your Learning with NCERT Solutions
Regular practice with NCERT textbook solutions helps students strengthen their understanding of each subject. These solutions not only help students complete their homework but also improve their analytical and problem-solving skills. By studying chapter-wise answers, students can learn the correct way to write answers in exams and score better marks.
If you want to improve your academic performance, start studying with free NCERT Solutions for all classes. These solutions are designed to make learning simple, clear, and effective for every student. Choose your class, explore the chapters, and begin your preparation with the latest NCERT Solutions today.