1. Sets

  • This page has links to complete syllabus of NCERT Chapter 1 Sets based on syllabus recommended by CBSE based on class 11 maths.
  • There are 7 video lectures having explanations from basic to advance concepts, each and every NCERT solutions, questions and all important examples. You can access them directly from the lecture menu or just scroll down the page.
  • All lecture were uploaded on YouTube so for better learning experience here you will find link to YouTube Playlist of Chapter 1 Sets.
  • Also, there are detailed highlights of each video lecture with exact timestamp links so that you can easily access all topics and questions directly.
  • Just click on the timestamp link and you will be redirected to video watch page at exactly that time.
  • You can ask doubts in Sets at the end of this page.

YouTube Playlist
1(A) || Exercise 1.1

00:03:35 Meaning of Sets in maths

00:05:05 NCERT Exercise 1.1 Question 1

00:09:47 Roster Form and Set builder form

00:14:40 Belongs to

00:17:33 NCERT Exercise 1.1 Question 2

00:18:53 NCERT Exercise 1.1 Question 3

00:25:30 Basics of Number System: Natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers

00:33:49 NCERT Exercise 1.1 Question 4

00:47:29 NCERT Exercise 1.1 Question 5

00:54:09 NCERT Exercise 1.1 Question 6

1(B) || Exercise 1.2

00:00:54 Null Set / Void Set / Empty Set

00:04:44 NCERT Exercise 1.2 Question 1

00:08:44 NCERT Exercise 1.2 Question 2 (Finite Set and Infinite Set)

00:10:44 NCERT Exercise 1.2 Question 3

00:14:14 Equal Sets (Equality of Sets)

00:15:54 NCERT Exercise 1.2 Question 4

00:18:04 NCERT Exercise 1.2 Question 5

00:20:34 NCERT Exercise 1.2 Question 6

00:22:00 Subsets, Difference between belongs to and subsets

00:26:24 NCERT Exercise 1.3 Question 1

00:39:24 NCERT Exercise 1.3 Question 2 (incomplete)

1(C) || Exercise 1.3

00:00:05 Subsets and belongs to

00:04:59 NCERT Exercise 1.3 Question 2

00:07:59 NCERT Exercise 1.3 Question 3

00:14:39 NCERT Exercise 1.3 Question 4

00:18:45 Power Sets

00:20:29 NCERT Exercise 1.3 Question 5

00:24:29 Open intervals and Closed intervals in Real numbers

00:25:45 NCERT Exercise 1.3 Question 6

00:28:59 NCERT Exercise 1.3 Question 7

00:31:39 Universal Sets

00:34:20 NCERT Exercise 1.3 Question 8

00:35:59 NCERT Exercise 1.3 Question 9

1(D) || Exercise 1.4

00:00:05 Operations on Sets : Union , Intersection

00:05:02 NCERT Exercise 1.4 Question 1

00:10:42 NCERT Exercise 1.4 Question 2

00:11:52 NCERT Exercise 1.4 Question 3

00:13:22 NCERT Exercise 1.4 Question 4

00:18:32 NCERT Exercise 1.4 Question 5

00:21:52 NCERT Exercise 1.4 Question 6

00:28:12 NCERT Exercise 1.4 Question 7

00:32:32 Disjoint Sets

00:32:44 NCERT Exercise 1.4 Question 8

00:34:24 Subtraction of two sets

00:36:44 NCERT Exercise 1.4 Question 9

00:42:04 NCERT Exercise 1.4 Question 10

00:43:24 NCERT Exercise 1.4 Question 11

00:44:24 NCERT Exercise 1.4 Question 12

1(E) || Exercise 1.5

00:04:04 Complement of sets

00:06:25 NCERT Exercise 1.5 Question 1

00:13:45 NCERT Exercise 1.5 Question 2

00:16:15 NCERT Exercise 1.5 Question 3

00:36:55 NCERT Exercise 1.5 Question 4

00:42:45 Basics of Venn Diagram

1(F) || Exercise 1.6

00:01:12 Detailed explanation of all types of Venn Diagrams in Class 11 NCERT

00:08:08 NCERT Exercise 1.5 Question 5

00:17:38 NCERT Exercise 1.5 Question 7

00:20:48 Cardinality of Sets

00:27:28 NCERT Exercise 1.6 Question 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 ).

00:28:58 NCERT Exercise 1.6 Question 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?

00:30:38 NCERT Exercise 1.6 Question 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?

00:34:18 NCERT Exercise 1.6 Question 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?

00:36:08 NCERT Exercise 1.6 Question 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?

00:37:38 NCERT Exercise 1.6 Question 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?

00:40:18 NCERT Exercise 1.6 Question 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?

00:45:18 NCERT Exercise 1.6 Question 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?

1(G) || Miscellaneous Exercise

00:02:09 Important points / rules for cardinality of sets and probability

00:06:59 Example 26 In a survey of 400 students in a school, 100 were listed as taking apple juice, 150 as taking orange juice and 75 were listed as taking both apple as well as orange juice. Find how many students were taking neither apple juice nor orange juice.

00:12:49 Example 27 There are 200 individuals with a skin disorder, 120 had been exposed to the chemical C1 , 50 to chemical C2 number of individuals exposed to (i) Chemical C1 (iii) Chemical C1 , and 30 to both the chemicals C1 but not chemical C2 or chemical C2 (ii) Chemical C2 and C2 . Find the but not chemical C1 Solving questions using Venn Diagrams

00:18:59 Chapter 1 Miscellaneous Exercise Question 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?

00:23:09 Chapter 1 Miscellaneous Exercise Question 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?

00:25:49 Chapter 1 Miscellaneous Exercise Question 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.

00:34:39 Chapter 1 Miscellaneous Exercise Question 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.

00:39:19 Example 34 A college awarded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to a total of 58 men and only three men got medals in all the three sports, how many received medals in exactly two of the three sports ?

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