How many like tennis? 7. H = the set of the students who know Hindi, Number of students who know Hindi n (H) = 100, Number of students who knew English, n (E) = 50, Number of students who know both, n (H ∩ E) = 25, We have to find the total number of students in the group i.e. (iii) {2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets. 9. (iii) A team of eleven best-cricket batsmen of the world. (i) The collection of all months of a year beginning with the letter J is a well-defined collection of objects as one can identify a month which belongs to this collection. A = the set of people who read newspaper H, B = the set of people who read newspaper T, C = the set of people who read newspaper I, Number of people who read newspaper H, n (A) = 25, Number of people who read newspaper T, n (B) = 26, Number of people who read the newspaper I, n (C) = 26, Number of people who read both newspaper H and I, n (A ∩ C) = 9, Number of people who read both newspaper H and T, n (A ∩ B) = 11, Number of people who read both newspaper T and I, n (B ∩ C) = 8, And, Number of people who read all three newspaper H, T and I, n (A ∩ B ∩ C) = 3, Now, we have to find the number of people who read at least one of the newspaper. Let U = {1, 2, 3; 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. (i) A ∪ (A ∩ B) = A Hence, (iii) matches with (d). It is our promise to you that Solutions of NCERT books … NCERT solutions for Class 11 Maths Read More » 2. If A and B are two sets such that A ⊂ B, then what is A ∪ B? Introduction to Principle of Mathematical Induction. All the important concepts are jotted down at one place in the Revision Notes for Class 11 Maths Chapter 1 Sets offered by Vedantu. Find how many liked product C only. All exercise questions, supplementary questions, examples and miscellaneous are solved with important questions marked.Most of the chapters we will study in Class 11 forms a base of what we will study in Class 12. Download NCERT Class 11 maths solutions to access the solutions for all the exercises of all the chapters. Hence, the given set can be written in roster form as, (ii) B = {x: x is a natural number less than 6}, 1, 2, 3, 4, and 5 only are the elements of this set, 17, 26, 35, 44, 53, 62, 71, and 80 only are the elements of this set, (iv) D = {x: x is a prime number which is divisor of 60}, 2, 3 and 5 only are the elements of this set, Hence, the given set can be written in roaster form as, (v) E = The set of all letters in the word TRIGONOMETRY. The pdf form of the book is free of cost. If A ∩ X = B ∩ X = ϕ and A ∪ X = B ∪ X for some set X, show that A = B. (iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}. 2 and 6 are the only solutions of x2 – 8x + 12 = 0. Get NCERT solutions for Class 11 Maths Free with videos. Set is defined by an existing rule, with which it is possible to conclude whether an object is a part of a set and whether a collection constitutes a set. Let us assume that x is any element such that X ∈ C – B, 6. We can perform some basic operations on sets similar to the addition or subtraction of numbers. (ii) {a, e, i, o, u } and {a, b, c, d} are disjoint sets. tennis, badminton and cricket. Get FREE NCERT Solutions for Class 11 Maths Chapter 1 Sets Miscellaneous Exercise. Order in which the elements of a set are listed is not significant. Let A = {a, b}, B = {a, b, c}. Is A ⊂ B? The intersection of two sets A and B is the set of all elements which are common. a = the number of people who read newspapers H and T only, b = the number of people who read newspapers I and H only, c = the number of people who read newspapers T and I only, d = the number of people who read all three newspapers, ∴ Number of people read exactly one newspaper = 52 – 22. Write the following sets in roster form: (i) A = {x: x is an integer and –3 < x < 7}. In this video I taught Chapter 1 Exercise 1.1 Q3 and Q4 of class 11 Maths Ncert. This section gives an idea about equal and unequal sets along with solved examples. 15. 5. We know that a, e are two vowels of the English alphabet. (iv) {2, 6, 10} and {3, 7, 11} are disjoint sets. Students can learn the definitions and examples of finite and infinite sets. An element of a set can never be a subset of itself. 5. Each element of {1, 2, 5} is also an element of A. (iv) {y: y is a point common to any two parallel lines} is a null set as the parallel lines do not intersect. Enough practise problems are provided under this section to help the students in order to understand in a better way about the union and intersection of two sets. 14. Hence, {a, e, i, o, u} and (c, d, e, f} are not disjoint. Show that if A ⊂ B, then C – B ⊂ C – A. Hence, this pair of sets is not disjoint. In a group of 84 persons, each plays at least one game out of three viz. How many people like both coffee and tea? Therefore, the given set {2, 4, 6 …} can be written in the set-builder form as {x: x is an even natural number}. NCERT Solutions Class 11 Maths Chapter 1 SET Here on AglaSem Schools, you can access to NCERT Book Solutions in free pdf for Maths for Class 11 so that you can refer them as and when required. Find. The main concepts covered under this section are: In this section, students are able to know the definition of power set, which has been derived from the concept of subsets. Make correct statements by filling in the symbols ⊂ or ⊄ in the blank spaces: (iii) {x: x is a student of Class XI of your school} … {x: x student of your school}, (iv) {x: x is a circle in the plane} … {x: x is a circle in the same plane with radius 1 unit}, (v) {x: x is a triangle in a plane}…{x: x is a rectangle in the plane}, (vi) {x: x is an equilateral triangle in a plane}… {x: x is a triangle in the same plane}, (vii) {x: x is an even natural number} … {x: x is an integer}, (iii) {x: x is a student of Class XI of your school} ⊂ {x: x student of your school}, (iv) {x: x is a circle in the plane} ⊄ {x: x is a circle in the same plane with radius 1 unit}, (v) {x: x is a triangle in a plane} ⊄ {x: x is a rectangle in the plane}, (vi) {x: x is an equilateral triangle in a plane} ⊂ {x: x is a triangle in the same plane}, (vii) {x: x is an even natural number} ⊂ {x: x is an integer}. Forming a good base in Class (ii) The set of letters in the English alphabet is a finite set as it contains 26 elements. 7. (vi) A collection of novels written by the writer Munshi Prem Chand. Number of students who like product A, n (A) = 21, Number of students who like product B, n (B) = 26, Number of students who like product C, n (C) = 29, Number of students who like both products A and B, n (A ∩ B) = 14, Number of students who like both products A and C, n(C ∩ A) = 12, Number of students who like both product C and B, n (B ∩ C) = 14, Number of students who like all three product, n (A ∩ B ∩ C) = 8, Number of students who only like product C = {29 – (4 + 8 + 6)}. How many elements has P (A), if A = Φ? (ix) A collection of most dangerous animals of the world. Download it and get accustomed to the critical techniques to solve questions related to Sets. A = (A ∩ B) ∪ (A – B) and A ∪ (B – A) = (A ∪ B), It can be concluded that, A ∩ B ⊂ A and (A – B) ⊂ A. The summary of the topics explained in Chapter 1 of NCERT Solutions for Class 11 Maths is listed below: Your email address will not be published. In a group of 70 people, 37 like coffee, 52 like tea, and each person likes at least one of the two drinks. Give reasons. U = the set of all students who took part in the survey, C = the set of the students taking coffee, Total number of students in a school, n (U) = 600, Number of students taking tea, n (T) = 150, Number of students taking coffee, n (C) = 225, Now, we have to find that number of students taking neither coffee nor tea i.e. It is not true that for any sets A and B, P (A) ∪ P (B) = P (A ∪ B), ∴ P (A ∪ B) = {ϕ, {0}, {1}, {2}, {0, 1}, {1, 2}, {0, 2}, {0, 1, 2}}, P (A) ∪ P (B) = {ϕ, {0}, {1}, {2}, {0, 1}, {1, 2}}, 8. (i) The set of lines which are parallel to the x-axis is an infinite set as the lines which are parallel to the x-axis are infinite. 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