Channel Title: Apni ClassRoom Mathematics By Deepak Garg Channel Description: Apni classroom is a channel is especially for students of class 6th, class 7th, class 8th, class 9th class 10th for mathematics subject. The syllabus begins with the chapter ‘Knowing Our Numbers’ and ends with ‘Practical Geometry’. The CBSE Class 6 Maths syllabus will help students study for the exam and get excellent marks. 1 Knowing Our Numbers 2 Whole Numbers 3 Playing With Numbers 4 Basic Geometrical Ideas 5 Understanding Elementary Shapes 6 Integers 7 Fractions 8 Decimals 9 Data Handling 10 Mensuration 11 Algebra 12 Ratio And Proportion Class 7 Maths syllabus contain fifteen chapters. Students can check the names of chapters from the table below. Embibe has provided names of chapters contained in the textbook in English medium and Hindi medium. 1 Integers 2 Fractions and Decimals 3 Data Handling 4 Simple Equations 5 Lines and Angles 6 The Triangles and their Properties 7 Congruence of Triangles 8 Comparing Quantities 9 Rational Numbers 10 Practical Geometry <video> Q8) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg Description: Q8) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, maths class 11 chapter 1 exercise 1.6 question 8, maths class 11 chapter 1 exercise 1.6 question 8 in hindi, maths class 11 chapter 1 exercise 1.6 question 8, ncert maths class 11 chapter 1 exercise 1.6 question 8, maths 2 class 11 chapter 1 exercise 1.6 question 8, class 11 maths chapter 1 ex 1.6 question 8, sets class 11 maths exercise 1.6, maths class 11 sets ex 1.6, maths class 11th sets, maths class 11 sets ncert, sets class 11th maths chapter 1, sets class 11 maths in hindi, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u EXERCISE 1.6 1. If X and Y are two sets such that n ( X ) = 17, n ( Y ) = 23 and n ( X Y ) = 38, find n ( X Y ). 2. If X and Y are two sets such that X Y has 18 elements, X has 8 elements and Y has 15 elements ; how many elements does X Y have? 3. In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English? 4. If S and T are two sets such that S has 21 elements, T has 32 elements, and S T has 11 elements, how many elements does S T have? 5. If X and Y are two sets such that X has 40 elements, X Y has 60 elements and X Y has 10 elements, how many elements does Y have? 6. In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea? 7. In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis? 8. In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages? Summary :- This chapter deals with some basic definitions and operations involving sets. These are summarised below: A set is a well-defined collection of objects. A set which does not contain any element is called empty set. A set which consists of a definite number of elements is called finite set, otherwise, the set is called infinite set. Two sets A and B are said to be equal if they have exactly the same elements. A set A is said to be subset of a set B, if every element of A is also an element of B. Intervals are subsets of R. A power set of a set A is collection of all subsets of A. It is denoted by P(A). The union of two sets A and B is the set of all those elements which are either in A or in B. The intersection of two sets A and B is the set of all elements which are common. The difference of two sets A and B in this order is the set of elements which belong to A but not to B. Exercise Questions Links: exercise 1.6:- Q5) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg https://youtu.be/sQGNpJOFFEA Q6) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg https://youtu.be/Nb4hD3eg2LY Q7) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg Q8) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg https://youtu.be/0QAMKkzvDiw </video> <video> Q15) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Description: Q15) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, class 11th miscellaneous exercise chapter 1 question number 15, class 11th miscellaneous exercise question number 15, class 11 sets miscellaneous exercise q15, class 11 maths sets miscellaneous solutions 15, class 11th miscellaneous chapter 1, class 11th miscellaneous exercise chapter 1, class 11th miscellaneous exercise, class 11th sets miscellaneous, class 11 sets miscellaneous, class 11th sets miscellaneous exercise, class 11th sets miscellaneous exercise solutions, class 11 maths sets miscellaneous solutions, class 11 maths chapter 1 sets miscellaneous exercise, class 11 maths ch 1 sets miscellaneous exercise, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u Miscellaneous Exercise on Chapter 1 1. Decide, among the following sets, which sets are subsets of one and another: A = { x : x R and x satisfy x2 – 8x + 12 = 0 }, B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }. 2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x A and A B , then x B (ii) If A B and B C , then A C (iii) If A B and B C , then A C (iv) If A B and B C , then A C (v) If x A and A B , then x B (vi) If A B and x B , then x A 3. Let A, B, and C be the sets such that A B = A C and A B = A C. Show that B = C. 4. Show that the following four conditions are equivalent : (i) A B(ii) A – B = (iii) A B = B (iv) A B = A 5. Show that if A B, then C – B C – A. 6. Assume that P ( A ) = P ( B ). Show that A = B 7. Is it true that for any sets A and B, P ( A ) P ( B ) = P ( A B )? Justify your answer. 8. Show that for any sets A and B, A = ( A B ) ( A – B ) and A ( B – A ) = ( A B ) 9. Using properties of sets, show that (i) A ( A B ) = A ( ii) A ( A B ) = A. 10. Show that A B = A C need not imply B = C. 11. Let A and B be sets. If A X = B X = and A X = B X for some set X, show that A = B. (Hints A = A ( A X ) , B = B ( B X ) and use Distributive law ) 12. Find sets A, B and C such that A B, B C and A C are non-empty sets and A B C = . 13. 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. Find how many students were taking neither tea nor coffee? 14. In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group? 15. In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: (i) the number of people who read at least one of the newspapers. (ii) the number of people who read exactly one newspaper. 16. In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only. Exercise Questions Links: Q1) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/rl97J5mEO8c Q2) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/fzsScV0Uemg Q3) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/iyfUpjaF_Og Q8) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/HTpIn5Eb5UA Q9) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/Kp-dCuWKhHI Q10) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/d0pRw-0osaQ Q11) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/pbcaFQ2_VGY </video> <video> Q16) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Description: Q16) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, class 11th miscellaneous exercise chapter 1 question number 16, class 11th miscellaneous exercise question number 16, class 11 sets miscellaneous exercise q16, class 11 maths sets miscellaneous solutions 16, class 11th miscellaneous chapter 1, class 11th miscellaneous exercise chapter 1, class 11th miscellaneous exercise, class 11th sets miscellaneous, class 11 sets miscellaneous, class 11th sets miscellaneous exercise, class 11th sets miscellaneous exercise solutions, class 11 maths sets miscellaneous solutions, class 11 maths chapter 1 sets miscellaneous exercise, class 11 maths ch 1 sets miscellaneous exercise, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u Miscellaneous Exercise on Chapter 1 1. Decide, among the following sets, which sets are subsets of one and another: A = { x : x R and x satisfy x2 – 8x + 12 = 0 }, B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }. 2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x A and A B , then x B (ii) If A B and B C , then A C (iii) If A B and B C , then A C (iv) If A B and B C , then A C (v) If x A and A B , then x B (vi) If A B and x B , then x A 3. Let A, B, and C be the sets such that A B = A C and A B = A C. Show that B = C. 4. Show that the following four conditions are equivalent : (i) A B(ii) A – B = (iii) A B = B (iv) A B = A 5. Show that if A B, then C – B C – A. 6. Assume that P ( A ) = P ( B ). Show that A = B 7. Is it true that for any sets A and B, P ( A ) P ( B ) = P ( A B )? Justify your answer. 8. Show that for any sets A and B, A = ( A B ) ( A – B ) and A ( B – A ) = ( A B ) 9. Using properties of sets, show that (i) A ( A B ) = A ( ii) A ( A B ) = A. 10. Show that A B = A C need not imply B = C. 11. Let A and B be sets. If A X = B X = and A X = B X for some set X, show that A = B. (Hints A = A ( A X ) , B = B ( B X ) and use Distributive law ) 12. Find sets A, B and C such that A B, B C and A C are non-empty sets and A B C = . 13. 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. Find how many students were taking neither tea nor coffee? 14. In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group? 15. In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: (i) the number of people who read at least one of the newspapers. (ii) the number of people who read exactly one newspaper. 16. In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only. Exercise Questions Links: Q1) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/rl97J5mEO8c Q2) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/fzsScV0Uemg Q3) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/iyfUpjaF_Og Q8) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/HTpIn5Eb5UA Q9) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/Kp-dCuWKhHI Q10) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/d0pRw-0osaQ Q11) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/pbcaFQ2_VGY </video> <video> Q14) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Description: Q14) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, class 11th miscellaneous exercise chapter 1 question number 14, class 11th miscellaneous exercise question number 14, class 11 sets miscellaneous exercise q14, class 11 maths sets miscellaneous solutions 14, class 11th miscellaneous chapter 1, class 11th miscellaneous exercise chapter 1, class 11th miscellaneous exercise, class 11th sets miscellaneous, class 11 sets miscellaneous, class 11th sets miscellaneous exercise, class 11th sets miscellaneous exercise solutions, class 11 maths sets miscellaneous solutions, class 11 maths chapter 1 sets miscellaneous exercise, class 11 maths ch 1 sets miscellaneous exercise, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u Miscellaneous Exercise on Chapter 1 1. Decide, among the following sets, which sets are subsets of one and another: A = { x : x R and x satisfy x2 – 8x + 12 = 0 }, B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }. 2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x A and A B , then x B (ii) If A B and B C , then A C (iii) If A B and B C , then A C (iv) If A B and B C , then A C (v) If x A and A B , then x B (vi) If A B and x B , then x A 3. Let A, B, and C be the sets such that A B = A C and A B = A C. Show that B = C. 4. Show that the following four conditions are equivalent : (i) A B(ii) A – B = (iii) A B = B (iv) A B = A 5. Show that if A B, then C – B C – A. 6. Assume that P ( A ) = P ( B ). Show that A = B 7. Is it true that for any sets A and B, P ( A ) P ( B ) = P ( A B )? Justify your answer. 8. Show that for any sets A and B, A = ( A B ) ( A – B ) and A ( B – A ) = ( A B ) 9. Using properties of sets, show that (i) A ( A B ) = A ( ii) A ( A B ) = A. 10. Show that A B = A C need not imply B = C. 11. Let A and B be sets. If A X = B X = and A X = B X for some set X, show that A = B. (Hints A = A ( A X ) , B = B ( B X ) and use Distributive law ) 12. Find sets A, B and C such that A B, B C and A C are non-empty sets and A B C = . 13. 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. Find how many students were taking neither tea nor coffee? 14. In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group? 15. In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: (i) the number of people who read at least one of the newspapers. (ii) the number of people who read exactly one newspaper. 16. In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only. Exercise Questions Links: Q1) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/rl97J5mEO8c Q2) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/fzsScV0Uemg Q3) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/iyfUpjaF_Og Q8) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/HTpIn5Eb5UA Q9) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/Kp-dCuWKhHI Q10) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/d0pRw-0osaQ Q11) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/pbcaFQ2_VGY </video> <video> Q10) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Description: Q10) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, class 11th miscellaneous exercise chapter 1 question number 10, class 11th miscellaneous exercise question number 10, class 11 sets miscellaneous exercise q10, class 11 maths sets miscellaneous solutions 10, class 11th miscellaneous chapter 1, class 11th miscellaneous exercise chapter 1, class 11th miscellaneous exercise, class 11th sets miscellaneous, class 11 sets miscellaneous, class 11th sets miscellaneous exercise, class 11th sets miscellaneous exercise solutions, class 11 maths sets miscellaneous solutions, class 11 maths chapter 1 sets miscellaneous exercise, class 11 maths ch 1 sets miscellaneous exercise, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u Miscellaneous Exercise on Chapter 1 1. Decide, among the following sets, which sets are subsets of one and another: A = { x : x R and x satisfy x2 – 8x + 12 = 0 }, B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }. 2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x A and A B , then x B (ii) If A B and B C , then A C (iii) If A B and B C , then A C (iv) If A B and B C , then A C (v) If x A and A B , then x B (vi) If A B and x B , then x A 3. Let A, B, and C be the sets such that A B = A C and A B = A C. Show that B = C. 4. Show that the following four conditions are equivalent : (i) A B(ii) A – B = (iii) A B = B (iv) A B = A 5. Show that if A B, then C – B C – A. 6. Assume that P ( A ) = P ( B ). Show that A = B 7. Is it true that for any sets A and B, P ( A ) P ( B ) = P ( A B )? Justify your answer. 8. Show that for any sets A and B, A = ( A B ) ( A – B ) and A ( B – A ) = ( A B ) 9. Using properties of sets, show that (i) A ( A B ) = A ( ii) A ( A B ) = A. 10. Show that A B = A C need not imply B = C. 11. Let A and B be sets. If A X = B X = and A X = B X for some set X, show that A = B. (Hints A = A ( A X ) , B = B ( B X ) and use Distributive law ) 12. Find sets A, B and C such that A B, B C and A C are non-empty sets and A B C = . 13. 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. Find how many students were taking neither tea nor coffee? 14. In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group? 15. In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: (i) the number of people who read at least one of the newspapers. (ii) the number of people who read exactly one newspaper. 16. In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only. Exercise Questions Links: Q1) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/rl97J5mEO8c Q2) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/fzsScV0Uemg Q3) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/iyfUpjaF_Og </video> <video> Q7) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg Description: Q7) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, maths class 11 chapter 1 exercise 1.6 question 7, maths class 11 chapter 1 exercise 1.6 question 7 in hindi, ncert maths class 11 chapter 1 exercise 1.6 question 7, maths 2 class 11 chapter 1 exercise 1.6 question 7, class 11 maths chapter 1 ex 1.6 question 7, sets class 11 maths exercise 1.6, maths class 11 chapter 1 ex 1.6 q 7, maths class 11 chapter 1 ex 1.6 q 7 in hindi, ncert maths class 11 chapter 1 ex 1.6 q 7, maths class 11 sets ex 1.6, sets class 11 exercise 1.6 q 7 hindi, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u EXERCISE 1.6 1. If X and Y are two sets such that n ( X ) = 17, n ( Y ) = 23 and n ( X Y ) = 38, find n ( X Y ). 2. If X and Y are two sets such that X Y has 18 elements, X has 8 elements and Y has 15 elements ; how many elements does X Y have? 3. In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English? 4. If S and T are two sets such that S has 21 elements, T has 32 elements, and S T has 11 elements, how many elements does S T have? 5. If X and Y are two sets such that X has 40 elements, X Y has 60 elements and X Y has 10 elements, how many elements does Y have? 6. In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea? 7. In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis? 8. In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages? Summary :- This chapter deals with some basic definitions and operations involving sets. These are summarised below: A set is a well-defined collection of objects. A set which does not contain any element is called empty set. A set which consists of a definite number of elements is called finite set, otherwise, the set is called infinite set. Two sets A and B are said to be equal if they have exactly the same elements. A set A is said to be subset of a set B, if every element of A is also an element of B. Intervals are subsets of R. A power set of a set A is collection of all subsets of A. It is denoted by P(A). The union of two sets A and B is the set of all those elements which are either in A or in B. The intersection of two sets A and B is the set of all elements which are common. The difference of two sets A and B in this order is the set of elements which belong to A but not to B. Exercise Questions Links: exercise 1.6:- Q1) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg+Q34 https://youtu.be/q5emLtguHKE Q2) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg https://youtu.be/yPhblYd1WKw Q3) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg https://youtu.be/pOxP68n36aA Q4) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg https://youtu.be/p7CsFNMnTLM Q5) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg https://youtu.be/sQGNpJOFFEA Q6) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg https://youtu.be/Nb4hD3eg2LY </video> <video> Q2) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Description: Q2) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, class 11th miscellaneous exercise chapter 1 question number 2, class 11th miscellaneous exercise question number 2, class 11 sets miscellaneous exercise q2, class 11 maths sets miscellaneous solutions 2, class 11th miscellaneous chapter 1, class 11th miscellaneous exercise chapter 1, class 11th miscellaneous exercise, class 11th sets miscellaneous, class 11 sets miscellaneous, class 11th sets miscellaneous exercise, class 11th sets miscellaneous exercise solutions, class 11 maths sets miscellaneous solutions, class 11 maths chapter 1 sets miscellaneous exercise, class 11 maths ch 1 sets miscellaneous exercise, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u Miscellaneous Exercise on Chapter 1 1. Decide, among the following sets, which sets are subsets of one and another: A = { x : x R and x satisfy x2 – 8x + 12 = 0 }, B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }. 2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x A and A B , then x B (ii) If A B and B C , then A C (iii) If A B and B C , then A C (iv) If A B and B C , then A C (v) If x A and A B , then x B (vi) If A B and x B , then x A 3. Let A, B, and C be the sets such that A B = A C and A B = A C. Show that B = C. 4. Show that the following four conditions are equivalent : (i) A B(ii) A – B = (iii) A B = B (iv) A B = A 5. Show that if A B, then C – B C – A. 6. Assume that P ( A ) = P ( B ). Show that A = B 7. Is it true that for any sets A and B, P ( A ) P ( B ) = P ( A B )? Justify your answer. 8. Show that for any sets A and B, A = ( A B ) ( A – B ) and A ( B – A ) = ( A B ) 9. Using properties of sets, show that (i) A ( A B ) = A ( ii) A ( A B ) = A. 10. Show that A B = A C need not imply B = C. 11. Let A and B be sets. If A X = B X = and A X = B X for some set X, show that A = B. (Hints A = A ( A X ) , B = B ( B X ) and use Distributive law ) 12. Find sets A, B and C such that A B, B C and A C are non-empty sets and A B C = . Exercise Questions Links: Q1) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/rl97J5mEO8c Q2) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/fzsScV0Uemg </video> <video> Q8) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Description: Q8) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, class 11th miscellaneous exercise chapter 1 question number 8, class 11th miscellaneous exercise question number 8, class 11 sets miscellaneous exercise q8, class 11 maths sets miscellaneous solutions 8, class 11th miscellaneous chapter 1, class 11th miscellaneous exercise chapter 1, class 11th miscellaneous exercise, class 11th sets miscellaneous, class 11 sets miscellaneous, class 11th sets miscellaneous exercise, class 11th sets miscellaneous exercise solutions, class 11 maths sets miscellaneous solutions, class 11 maths chapter 1 sets miscellaneous exercise, class 11 maths ch 1 sets miscellaneous exercise, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u Miscellaneous Exercise on Chapter 1 1. Decide, among the following sets, which sets are subsets of one and another: A = { x : x R and x satisfy x2 – 8x + 12 = 0 }, B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }. 2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x A and A B , then x B (ii) If A B and B C , then A C (iii) If A B and B C , then A C (iv) If A B and B C , then A C (v) If x A and A B , then x B (vi) If A B and x B , then x A 3. Let A, B, and C be the sets such that A B = A C and A B = A C. Show that B = C. 14. In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group? 15. In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: (i) the number of people who read at least one of the newspapers. (ii) the number of people who read exactly one newspaper. 16. In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only. Summary :- This chapter deals with some basic definitions and operations involving sets. These are summarised below: A set is a well-defined collection of objects. A set which does not contain any element is called empty set. A set which consists of a definite number of elements is called finite set, otherwise, the set is called infinite set. Two sets A and B are said to be equal if they have exactly the same elements. A set A is said to be subset of a set B, if every element of A is also an element of B. Intervals are subsets of R. A power set of a set A is collection of all subsets of A. It is denoted by P(A). The union of two sets A and B is the set of all those elements which are either in A or in B. The intersection of two sets A and B is the set of all elements which are common. The difference of two sets A and B in this order is the set of elements which belong to A but not to B. Exercise Questions Links: Q1) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/rl97J5mEO8c Q2) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/fzsScV0Uemg Q3) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/iyfUpjaF_Og </video> <video> Q3) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Description: Q3) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, class 11th miscellaneous exercise chapter 1 question number 3, class 11th miscellaneous exercise question number 3, class 11 sets miscellaneous exercise q3, class 11 maths sets miscellaneous solutions 3, class 11th miscellaneous chapter 1, class 11th miscellaneous exercise chapter 1, class 11th miscellaneous exercise, class 11th sets miscellaneous, class 11 sets miscellaneous, class 11th sets miscellaneous exercise, class 11th sets miscellaneous exercise solutions, class 11 maths sets miscellaneous solutions, class 11 maths chapter 1 sets miscellaneous exercise, class 11 maths ch 1 sets miscellaneous exercise, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u Miscellaneous Exercise on Chapter 1 1. Decide, among the following sets, which sets are subsets of one and another: A = { x : x R and x satisfy x2 – 8x + 12 = 0 }, B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }. 2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x A and A B , then x B (ii) If A B and B C , then A C (iii) If A B and B C , then A C (iv) If A B and B C , then A C (v) If x A and A B , then x B (vi) If A B and x B , then x A 3. Let A, B, and C be the sets such that A B = A C and A B = A C. Show that B = C. 4. Show that the following four conditions are equivalent : (i) A B(ii) A – B = (iii) A B = B (iv) A B = A 5. Show that if A B, then C – B C – A. 6. Assume that P ( A ) = P ( B ). Show that A = B 7. Is it true that for any sets A and B, P ( A ) P ( B ) = P ( A B )? Justify your answer. 8. Show that for any sets A and B, A = ( A B ) ( A – B ) and A ( B – A ) = ( A B ) 9. Using properties of sets, show that (i) A ( A B ) = A ( ii) A ( A B ) = A. 10. Show that A B = A C need not imply B = C. 11. Let A and B be sets. If A X = B X = and A X = B X for some set X, show that A = B. (Hints A = A ( A X ) , B = B ( B X ) and use Distributive law ) 12. Find sets A, B and C such that A B, B C and A C are non-empty sets and A B C = . 13. 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. Find how many students were taking neither tea nor coffee? 14. In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group? 15. In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: (i) the number of people who read at least one of the newspapers. (ii) the number of people who read exactly one newspaper. 16. In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only. Summary :- This chapter deals with some basic definitions and operations involving sets. These are summarised below: A set is a well-defined collection of objects. A set which does not contain any element is called empty set. A set which consists of a definite number of elements is called finite set, otherwise, the set is called infinite set. Two sets A and B are said to be equal if they have exactly the same elements. A set A is said to be subset of a set B, if every element of A is also an element of B. Intervals are subsets of R. A power set of a set A is collection of all subsets of A. It is denoted by P(A). The union of two sets A and B is the set of all those elements which are either in A or in B. The intersection of two sets A and B is the set of all elements which are common. The difference of two sets A and B in this order is the set of elements which belong to A but not to B. Exercise Questions Links: </video> <video> Q9) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Description: Q9) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, class 11th miscellaneous exercise chapter 1 question number 9, class 11th miscellaneous exercise question number 9, class 11 sets miscellaneous exercise q9, class 11 maths sets miscellaneous solutions 9, class 11th miscellaneous chapter 1, class 11th miscellaneous exercise chapter 1, class 11th miscellaneous exercise, class 11th sets miscellaneous, class 11 sets miscellaneous, class 11th sets miscellaneous exercise, class 11th sets miscellaneous exercise solutions, class 11 maths sets miscellaneous solutions, class 11 maths chapter 1 sets miscellaneous exercise, class 11 maths ch 1 sets miscellaneous exercise, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Miscellaneous Exercise on Chapter 1 1. Decide, among the following sets, which sets are subsets of one and another: A = { x : x R and x satisfy x2 – 8x + 12 = 0 }, B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }. 2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x A and A B , then x B (ii) If A B and B C , then A C (iii) If A B and B C , then A C (iv) If A B and B C , then A C (v) If x A and A B , then x B (vi) If A B and x B , then x A 3. Let A, B, and C be the sets such that A B = A C and A B = A C. Show that B = C. 4. Show that the following four conditions are equivalent : (i) A B(ii) A – B = (iii) A B = B (iv) A B = A 5. Show that if A B, then C – B C – A. 6. Assume that P ( A ) = P ( B ). Show that A = B 7. Is it true that for any sets A and B, P ( A ) P ( B ) = P ( A B )? Justify your answer. Summary :- This chapter deals with some basic definitions and operations involving sets. These are summarised below: A set is a well-defined collection of objects. A set which does not contain any element is called empty set. A set which consists of a definite number of elements is called finite set, otherwise, the set is called infinite set. Two sets A and B are said to be equal if they have exactly the same elements. A set A is said to be subset of a set B, if every element of A is also an element of B. Intervals are subsets of R. A power set of a set A is collection of all subsets of A. It is denoted by P(A). The union of two sets A and B is the set of all those elements which are either in A or in B. The intersection of two sets A and B is the set of all elements which are common. The difference of two sets A and B in this order is the set of elements which belong to A but not to B. Exercise Questions Links: Q1) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/rl97J5mEO8c Q2) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/fzsScV0Uemg Q3) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/iyfUpjaF_Og </video> <video> Q13) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Description: Q13) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, class 11th miscellaneous exercise chapter 1 question number 13, class 11th miscellaneous exercise question number 13, class 11 sets miscellaneous exercise q13, class 11 maths sets miscellaneous solutions 13, class 11th miscellaneous chapter 1, class 11th miscellaneous exercise chapter 1, class 11th miscellaneous exercise, class 11th sets miscellaneous, class 11 sets miscellaneous, class 11th sets miscellaneous exercise, class 11th sets miscellaneous exercise solutions, class 11 maths sets miscellaneous solutions, class 11 maths chapter 1 sets miscellaneous exercise, class 11 maths ch 1 sets miscellaneous exercise, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u Miscellaneous Exercise on Chapter 1 1. Decide, among the following sets, which sets are subsets of one and another: A = { x : x R and x satisfy x2 – 8x + 12 = 0 }, B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }. 2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x A and A B , then x B (ii) If A B and B C , then A C (iii) If A B and B C , then A C (iv) If A B and B C , then A C (v) If x A and A B , then x B (vi) If A B and x B , then x A 3. Let A, B, and C be the sets such that A B = A C and A B = A C. Show that B = C. 4. Show that the following four conditions are equivalent : (i) A B(ii) A – B = (iii) A B = B (iv) A B = A 5. Show that if A B, then C – B C – A. 6. Assume that P ( A ) = P ( B ). Show that A = B 7. Is it true that for any sets A and B, P ( A ) P ( B ) = P ( A B )? Justify your answer. 8. Show that for any sets A and B, A = ( A B ) ( A – B ) and A ( B – A ) = ( A B ) 9. Using properties of sets, show that (i) A ( A B ) = A ( ii) A ( A B ) = A. 10. Show that A B = A C need not imply B = C. 11. Let A and B be sets. If A X = B X = and A X = B X for some set X, show that A = B. (Hints A = A ( A X ) , B = B ( B X ) and use Distributive law ) 12. Find sets A, B and C such that A B, B C and A C are non-empty sets and A B C = . 13. 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. Find how many students were taking neither tea nor coffee? 14. In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group? 15. In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: (i) the number of people who read at least one of the newspapers. (ii) the number of people who read exactly one newspaper. 16. In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only. Exercise Questions Links: Q1) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/rl97J5mEO8c Q2) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/fzsScV0Uemg Q3) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/iyfUpjaF_Og Q8) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/HTpIn5Eb5UA Q9) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/Kp-dCuWKhHI Q10) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/d0pRw-0osaQ Q11) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/pbcaFQ2_VGY </video> <video> Q6) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg Description: Q6) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, maths class 11 chapter 1 exercise 1.6 question 6, maths class 11 chapter 1 exercise 1.6 question 6 in hindi, maths class 11 chapter 1 exercise 1.6 question 6, ncert maths class 11 chapter 1 exercise 1.6 question 6, maths 2 class 11 chapter 1 exercise 1.6 question 6, class 11 maths chapter 1 ex 1.6 question 6, sets class 11 maths exercise 1.6, maths class 11 sets ex 1.6, maths class 11th sets, maths class 11 sets ncert, sets class 11th maths chapter 1, sets class 11 maths in hindi, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u EXERCISE 1.6 1. If X and Y are two sets such that n ( X ) = 17, n ( Y ) = 23 and n ( X Y ) = 38, find n ( X Y ). 2. If X and Y are two sets such that X Y has 18 elements, X has 8 elements and Y has 15 elements ; how many elements does X Y have? 3. In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English? 4. If S and T are two sets such that S has 21 elements, T has 32 elements, and S T has 11 elements, how many elements does S T have? 5. If X and Y are two sets such that X has 40 elements, X Y has 60 elements and X Y has 10 elements, how many elements does Y have? 6. In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea? 7. In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis? 8. In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages? Summary :- This chapter deals with some basic definitions and operations involving sets. These are summarised below: A set is a well-defined collection of objects. A set which does not contain any element is called empty set. A set which consists of a definite number of elements is called finite set, otherwise, the set is called infinite set. Two sets A and B are said to be equal if they have exactly the same elements. A set A is said to be subset of a set B, if every element of A is also an element of B. Intervals are subsets of R. A power set of a set A is collection of all subsets of A. It is denoted by P(A). The union of two sets A and B is the set of all those elements which are either in A or in B. The intersection of two sets A and B is the set of all elements which are common. The difference of two sets A and B in this order is the set of elements which belong to A but not to B. Exercise Questions Links: exercise 1.6:- Q2) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg https://youtu.be/yPhblYd1WKw Q3) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg https://youtu.be/pOxP68n36aA Q4) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg https://youtu.be/p7CsFNMnTLM Q5) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg https://youtu.be/sQGNpJOFFEA Q6) Ex-1.6 SETS- Class11th Chapter 1st Maths CBSE | CBSE Maths Questions Class 11th By Poonam Garg https://youtu.be/Nb4hD3eg2LY </video> <video> Q11) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Description: Q11) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, class 11th miscellaneous exercise chapter 1 question number 11, class 11th miscellaneous exercise question number 11, class 11 sets miscellaneous exercise q11, class 11 maths sets miscellaneous solutions 11, class 11th miscellaneous chapter 1, class 11th miscellaneous exercise chapter 1, class 11th miscellaneous exercise, class 11th sets miscellaneous, class 11 sets miscellaneous, class 11th sets miscellaneous exercise, class 11th sets miscellaneous exercise solutions, class 11 maths sets miscellaneous solutions, class 11 maths chapter 1 sets miscellaneous exercise, class 11 maths ch 1 sets miscellaneous exercise, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u Miscellaneous Exercise on Chapter 1 1. Decide, among the following sets, which sets are subsets of one and another: A = { x : x R and x satisfy x2 – 8x + 12 = 0 }, B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }. 2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x A and A B , then x B (ii) If A B and B C , then A C (iii) If A B and B C , then A C (iv) If A B and B C , then A C (v) If x A and A B , then x B (vi) If A B and x B , then x A 3. Let A, B, and C be the sets such that A B = A C and A B = A C. Show that B = C. 4. Show that the following four conditions are equivalent : (i) A B(ii) A – B = (iii) A B = B (iv) A B = A 5. Show that if A B, then C – B C – A. 6. Assume that P ( A ) = P ( B ). Show that A = B 7. Is it true that for any sets A and B, P ( A ) P ( B ) = P ( A B )? Justify your answer. 8. Show that for any sets A and B, A = ( A B ) ( A – B ) and A ( B – A ) = ( A B ) 9. Using properties of sets, show that (i) A ( A B ) = A ( ii) A ( A B ) = A. 10. Show that A B = A C need not imply B = C. 11. Let A and B be sets. If A X = B X = and A X = B X for some set X, show that A = B. (Hints A = A ( A X ) , B = B ( B X ) and use Distributive law ) 12. Find sets A, B and C such that A B, B C and A C are non-empty sets and A B C = . 13. 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. Find how many students were taking neither tea nor coffee? 14. In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group? 15. In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: (i) the number of people who read at least one of the newspapers. (ii) the number of people who read exactly one newspaper. 16. In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only. Exercise Questions Links: Q1) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/rl97J5mEO8c Q2) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/fzsScV0Uemg Q3) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/iyfUpjaF_Og </video> <video> Q1) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Description: Q1) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, class 11th miscellaneous exercise chapter 1, class 11th miscellaneous exercise chapter 1 question number 1, class 11th miscellaneous chapter 1, class 11th miscellaneous exercise question number 1, class 11 sets miscellaneous exercise q1, class 11 maths sets miscellaneous solutions 1, class 11th miscellaneous exercise, class 11th sets miscellaneous, class 11 sets miscellaneous, class 11th sets miscellaneous exercise, class 11th sets miscellaneous exercise solutions, class 11 maths sets miscellaneous solutions, class 11 maths chapter 1 sets miscellaneous exercise, class 11 maths ch 1 sets miscellaneous exercise, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u Miscellaneous Exercise on Chapter 1 1. Decide, among the following sets, which sets are subsets of one and another: A = { x : x R and x satisfy x2 – 8x + 12 = 0 }, B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }. 2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x A and A B , then x B (ii) If A B and B C , then A C (iii) If A B and B C , then A C (iv) If A B and B C , then A C (v) If x A and A B , then x B (vi) If A B and x B , then x A 3. Let A, B, and C be the sets such that A B = A C and A B = A C. Show that B = C. 4. Show that the following four conditions are equivalent : (i) A B(ii) A – B = (iii) A B = B (iv) A B = A 5. Show that if A B, then C – B C – A. 6. Assume that P ( A ) = P ( B ). Show that A = B 7. Is it true that for any sets A and B, P ( A ) P ( B ) = P ( A B )? Justify your answer. 8. Show that for any sets A and B, A = ( A B ) ( A – B ) and A ( B – A ) = ( A B ) 9. Using properties of sets, show that (i) A ( A B ) = A ( ii) A ( A B ) = A. 10. Show that A B = A C need not imply B = C. 11. Let A and B be sets. If A X = B X = and A X = B X for some set X, show that A = B. (Hints A = A ( A X ) , B = B ( B X ) and use Distributive law ) 12. Find sets A, B and C such that A B, B C and A C are non-empty sets and A B C = . 13. 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. Find how many students were taking neither tea nor coffee? 14. In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group? 15. In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: (i) the number of people who read at least one of the newspapers. (ii) the number of people who read exactly one newspaper. 16. In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only. Summary :- This chapter deals with some basic definitions and operations involving sets. These are summarised below: A set is a well-defined collection of objects. A set which does not contain any element is called empty set. A set which consists of a definite number of elements is called finite set, otherwise, the set is called infinite set. Two sets A and B are said to be equal if they have exactly the same elements. A set A is said to be subset of a set B, if every element of A is also an element of B. Intervals are subsets of R. A power set of a set A is collection of all subsets of A. It is denoted by P(A). The union of two sets A and B is the set of all those elements which are either in A or in B. The intersection of two sets A and B is the set of all elements which are common. The difference of two sets A and B in this order is the set of elements which belong to A but not to B. Exercise Questions Links: </video> <video> Q12) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Description: Q12) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg Playlist: Maths Class 11 Chapter 1st SETS | CBSE NCERT Class 11 Maths https://www.youtube.com/playlist?list=PLVU4SRYRh7_k8UfRc18lMKJyNh-UPIsSe sets maths questions, sets maths important questions, class 11th miscellaneous exercise chapter 1 question number 12, class 11th miscellaneous exercise question number 12, class 11 sets miscellaneous exercise q12, class 11 maths sets miscellaneous solutions 12, class 11th miscellaneous chapter 1, class 11th miscellaneous exercise chapter 1, class 11th miscellaneous exercise, class 11th sets miscellaneous, class 11 sets miscellaneous, class 11th sets miscellaneous exercise, class 11th sets miscellaneous exercise solutions, class 11 maths sets miscellaneous solutions, class 11 maths chapter 1 sets miscellaneous exercise, class 11 maths ch 1 sets miscellaneous exercise, #class11 #class11CBSE #class11NCERT #class11Maths #MathsNCERT #mathsSETS #cbseclass11SETS Sets and their Representations In everyday life, we often speak of collections of objects of a particular kind, such as,a pack of cards, a crowd of people, a cricket team, etc. In mathematics also, we come across collections, for example, of natural numbers, points, prime numbers, etc. More specially, we examine the following collections: (i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9 (ii) The rivers of India (iii) The vowels in the English alphabet, namely, a, e, i, o, u Miscellaneous Exercise on Chapter 1 1. Decide, among the following sets, which sets are subsets of one and another: A = { x : x R and x satisfy x2 – 8x + 12 = 0 }, B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }. 2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x A and A B , then x B (ii) If A B and B C , then A C (iii) If A B and B C , then A C (iv) If A B and B C , then A C (v) If x A and A B , then x B (vi) If A B and x B , then x A 3. Let A, B, and C be the sets such that A B = A C and A B = A C. Show that B = C. 4. Show that the following four conditions are equivalent : (i) A B(ii) A – B = (iii) A B = B (iv) A B = A 5. Show that if A B, then C – B C – A. 6. Assume that P ( A ) = P ( B ). Show that A = B 7. Is it true that for any sets A and B, P ( A ) P ( B ) = P ( A B )? Justify your answer. 8. Show that for any sets A and B, A = ( A B ) ( A – B ) and A ( B – A ) = ( A B ) 9. Using properties of sets, show that (i) A ( A B ) = A ( ii) A ( A B ) = A. 10. Show that A B = A C need not imply B = C. 11. Let A and B be sets. If A X = B X = and A X = B X for some set X, show that A = B. (Hints A = A ( A X ) , B = B ( B X ) and use Distributive law ) 12. Find sets A, B and C such that A B, B C and A C are non-empty sets and A B C = . 13. 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. Find how many students were taking neither tea nor coffee? 14. In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group? 15. In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: (i) the number of people who read at least one of the newspapers. (ii) the number of people who read exactly one newspaper. 16. In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only. Exercise Questions Links: Q1) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/rl97J5mEO8c Q2) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/fzsScV0Uemg Q3) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/iyfUpjaF_Og Q8) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/HTpIn5Eb5UA Q9) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/Kp-dCuWKhHI Q10) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/d0pRw-0osaQ Q11) Miscellaneous Exercise Class11th Chapter 1st SETS- Maths CBSE | CBSE Maths By Poonam Garg https://youtu.be/pbcaFQ2_VGY </video>

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Apni classroom is a channel is especially for students of class 6th, class 7th, class 8th, class 9th
class 10th for mathematics subject.
The syllabus begins with the chapter ‘Knowing Our Numbers’ and ends with ‘Practical Geometry’. The CBSE Class 6 Maths syllabus will help students study for the exam and get excellent marks.

1 Knowing Our Numbers
2 Whole Numbers
3 Playing With Numbers
4 Basic Geometrical Ideas
5 Understanding Elementary Shapes
6 Integers
7 Fractions
8 Decimals
9 Data Handling
10 Mensuration
11 Algebra
12 Ratio And Proportion

Class 7 Maths syllabus contain fifteen chapters. Students can check the names of chapters from the table below. Embibe has provided names of chapters contained in the textbook in English medium and Hindi medium.
1 Integers
2 Fractions and Decimals
3 Data Handling
4 Simple Equations
5 Lines and Angles
6 The Triangles and their Properties
7 Congruence of Triangles
8 Comparing Quantities
9 Rational Numbers
10 Practical Geometry

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