NCERT Solutions for Class 11 Maths Chapter 1 Sets (Ex 1.2)
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One of the most wellknown and respected educational boards in India is the Central Board of Secondary Education. The board is linked to numerous schools that are dispersed around the nation. The curriculum at CBSE is taught with a very objective perspective. The CBSE wants its students to comprehend a subject completely. For the student to be able to respond to the questions that are posed in the exams, they must fully comprehend each of the topics that are covered in the CBSE syllabus. Students must have a very clear and thorough comprehension of the subject and the concepts they are studying in order to perform well in the CBSE exams. The National Council of Educational Research and Training (NCERT) is an independent organisation established by the Indian government to support several public and private schools in India in delivering highquality education. This independent organisation, founded in 1961, is in charge of supplying academic course materials for Classes 1 to 12.
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NCERT Solutions for Class 11 Maths Chapter 1 Sets (Ex 1.2) Exercise 1.2
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Access NCERT Solutions for Class 11 Mathematics Chapter 1 – Sets
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NCERT Solutions for Class 11 Maths Chapters
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In this chapter, the idea of sets and how they are represented is covered. The chapter covers the following topics: the empty set, finite and infinite sets, equal sets, subsets, power sets, and the universal set. Along with teaching students how to create Venn diagrams, this chapter also introduces them to the ideas of set intersection and union. This chapter also covers the difference between sets, the complement of a set, and its attributes. There are six exercises and one more activity in this chapter, giving students enough problems to work through and, as a result, learn the idea. The NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.2 is a beneficial material for crosschecking while solving problems. Students can save their precious time by referring to the NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.2.
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NCERT Solution Class 11 Maths of Chapter 1 All Exercises
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NCERT Solutions for Class 11 Maths Chapter 1 Sets Exercise 1.2
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Q.1 Which of the following are examples of the null set
(i) Set of odd natural numbers divisible by 2
(ii) Set of even prime numbers
(iii) {x: x is a natural numbers, x < 5 and x > 7 }
(iv) {y : y is a point common to any two parallel lines}
Ans.
(i) Set of odd natural numbers divisible by 2 is null set.
(ii) Set of even prime number is not a null set, because set of even prime number is {2}.
(iii) {x:x is a natural numbers, x < 5 and x > 7} = {} It is a null set.
(iv) It is an example of null set because there is no common point in two parallel lines.
Q.2 Which of the following sets are finite or infinite
(i) The set of months of a year
(ii) {1, 2, 3, . . .}
(iii) {1, 2, 3, . . .99, 100}
(iv) The set of positive integers greater than 100
(v) The set of prime numbers less than 99
Ans.
(i) Set of months is a finite set because number of elements in this set are limited to count.
(ii) It is an example of infinite set.
(iii) It is an example of finite set.
(iv) It is an example of infinite set.
(v) It is an example of finite set.
Q.3 State whether each of the following set is finite or infinite:
(i) The set of lines which are parallel to the xaxis
(ii) The set of letters in the English alphabet
(iii) The set of numbers which are multiple of 5
(iv) The set of animals living on the earth
(v) The set of circles passing through the origin (0, 0)
Ans.
(i) This is an example of an infinite set. Since there are uncountable parallel lines to the xaxis.
(ii) This is an example of a finite set because there are 26 English alphabets.
(iii) The set of numbers that are multiples of 5 is an infinite set because there are uncountable multiples of 5.
(iv) The number of animals living on the earth is countable. So, it is an example of a finite set.
(v) The number of circles passing through the origin (0, 0) are uncountable. So, it is an example of an infinite set.
Q.4 In the following, state whether A = B or not:
(i) A = {a, b, c, d}; B = { d, c, b, a }
(ii) A = {4, 8, 12, 16}; B = { 8, 4, 16, 18}
(iii) A = {2, 4, 6, 8, 10}; B = {x: x is positive even integer and x ≤ 10}
(iv) A = { x : x is a multiple of 10};
B = { 10, 15, 20, 25, 30, . . . }
Ans.
(i) A = B
(ii) A ≠ B
(iii) A = B
(iv) A≠ B
Q.5 Are the following pair of sets equal? Give reasons.
(i) A = {2, 3},
B = {x: x is solution of x^{2} + 5x + 6 = 0}
(ii) A = {x: x is a letter in the word FOLLOW}
B = {y: y is a letter in the word WOLF}
Ans.
(i) A ≠ B
Since, x^{2} + 5x + 6 = 0
(x + 2)(x + 3) = 0
x = –2, – 3
So, B = {–2, – 3}
(ii) A = {F, O, L, W} and B = {W, O, L, F}
So, A = B.
Q.6 From the sets given below, select equal sets:
A = {2, 4, 8, 12},
B = {1, 2, 3, 4},
C = {4, 8, 12, 14},
D = {3, 1, 4, 2}
E = {–1, 1},
F = {0, a},
G = {1, –1},
H = {0, 1}
Ans.
B = D [because each is {1, 2, 3, 4}]
E = G [because each is {–1, 1}]
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FAQs (Frequently Asked Questions)
1. How many problems are there in the NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.2?
There are 6 questions and solutions in the NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.2. It is a detailed and authentic solution for the examination. Every solution is solved with the correct process or method. Students can use the NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.2 for their exam preparation which will help the students fetch high scores.
2. What is a Set?
A Set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A Set is a mathematical model for a collection of various things.
3. What are the benefits of NCERT Solutions For Class 11 Maths Chapter 1 Exercise1.2?
To understand the different problems in Class 11 Math Exercise 1.2 the NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.2 by Extramarks are extremely helpful. Students can recheck their process, and method, or to amend their miscalculations, scholars can use the NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.2. Scholars can identify their misapprehensions and silly miscalculations and correct them by using the NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.2. It can be downloaded from Extramarks’ website and mobile app.
4. Are the NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.2 crucial?
Yes, the NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.2 is an important solution for reference purposes. The NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.2 contain stepwise solutions with accurate methods. Students can inculcate this in their revision notes. The NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.2 help in rectifying miscalculations.
5. How many chapters are there in the NCERT textbook for Mathematics in class 11?
The NCERT Class 11 Mathematics textbook has 16 chapters in total.
Chapter 1 – Sets
Chapter 2 – Relations and Functions
Chapter 3 Trigonometric Functions
Chapter 4 – Principle of Mathematical Induction
Chapter 5 – Complex Numbers & Quadratic Equations
Chapter 6 Linear Inequalities
Chapter 7 Permutations and Combinations
Chapter 8 Binomial Theorem
Chapter 9 Sequences and Series
Chapter 10 Straight Lines
Chapter 11 Conic Sections
Chapter 12 Introduction to ThreeDimensional Geometry
Chapter 13– Limits and Derivatives
Chapter 15 Statistics
Chapter 16 Probability