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CBSE Class 11 Maths Notes Chapter wise – Free PDF Download. {2, 4, 6 …} is a set of all even natural numbers. NCERT Solutions for Class 11 Maths Chapter 1 provided which help you to solve the unsolved problems of the NCERT maths book prescribed by the CBSE. (iii) The elements are the letters of the word MATHEMATICS. The best part is that you can avail it free of cost. In each of the following, determine whether the statement is true or false. Class 11 Maths Chapter 1 Solutions The application of Sets lies in defining the concepts of relations and functions. (iii) A team of eleven best-cricket batsmen of the world. –2, –1, 0, 1, 2, 3, 4, 5, and 6 only are the elements of this set. Find the union of each of the following pairs of sets: (iii) A = {x: x is a natural number and multiple of 3}, B = {x: x is a natural number less than 6}, (iv) A = {x: x is a natural number and 1 < x ≤ 6}, B = {x: x is a natural number and 6 < x < 10}, So the union of the pairs of set can be written as, (iii) A = {x: x is a natural number and multiple of 3} = {3, 6, 9 …}, B = {x: x is a natural number less than 6} = {1, 2, 3, 4, 5, 6}, Hence, A ∪ B = {x: x = 1, 2, 4, 5 or a multiple of 3}, (iv) A = {x: x is a natural number and 1 < x ≤ 6} = {2, 3, 4, 5, 6}, B = {x: x is a natural number and 6 < x < 10} = {7, 8, 9}. Is A ⊂ B? (iv) The set of positive integers greater than 100 is an infinite set as the positive integers which are greater than 100 are infinite. 5. Show that A ∩ B = A ∩ C need not imply B = C. 11. (iv) The elements are odd natural numbers which are less than 10. In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Finite set: A set which consists of a definite number of elements. Are the following pair of sets equal? It is necessary to get fundamental knowledge on Sets since the study of sequences, geometry, and probability requires it. NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections, contains solutions for all exercise 11.1 questions. Which of the following are sets? (Hints A = A ∩ (A ∪ X) , B = B ∩ (B ∪ X) and use Distributive law). 15. 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. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. (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. The students can never underestimate the significance of revision. Let A = {a, b}, B = {a, b, c}. In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. Consider C as the set of people who like cricket. How many like tennis? Two sets A and B are said to be equal if they have the same elements. 7. B = {2, 4, 6}, C = {2, 4, 6, 8 …}, D = {6}, Hence, A ⊂ B, A ⊂ C, B ⊂ C, D ⊂ A, D ⊂ B, D ⊂ C. 2. The NCERT Solutions to the questions after every unit of NCERT textbooks aimed at helping students solving difficult questions. 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}, 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}, 8 ∈ A, 8 ∉ B, 8 ∉ D, 8 ∉ E, 8 ∉ F, 8 ∉ G, 8 ∉ H, 12 ∈ C, 12 ∉ D, 12 ∉ E, 12 ∉ F, 12 ∉ G, 12 ∉ H, Therefore, C ≠ D, C ≠ E, C ≠ F, C ≠ G, C ≠ H. Therefore, among the given sets, B = D and E = G. 1. Download NCERT Class 11 maths solutions to access the solutions for all the exercises of all the chapters. (i) A ∪ (A ∩ B) = A n (U), ∴ Total number of students in the group = 125 students. (iv) {2, 6, 10} and {3, 7, 11} are disjoint sets. Justify your answer. We know that a, e are two vowels of the English alphabet. 4. (i) The collection of all months of a year beginning with the letter J. State whether each of the following set is finite or infinite: (i) The set of lines which are parallel to the x-axis, (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). (iii) {1, 2, 3 …99, 100} is a finite set as the numbers from 1 to 100 are finite. The pdf form of the book is free of cost. If A and B are two sets such that A ⊂ B, then what is A ∪ B? 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