NCERT Solutions for Class 11 Maths Chapter 1 Sets: In our daily life, we have come across situations like arranging books on a shelf with different categories like novels, short stories, science fiction, etc. The well-defined collection of objects is called as set. In this article, you will get NCERT solutions for class 11 maths chapter 1 sets. This chapter will introduce the concept of sets and different operations on set. Solutions of NCERT for class 11 maths chapter 11 sets will help you to learn the concepts of relations and functions which will be taught in the next chapter & class 12th also. The knowledge of sets is also required to study geometry, sequences, probability, etc. CBSE NCERT solutions for class 11 maths chapter 1 sets will build your basics of data analysis which will be useful in higher education. To understand the basics of sets, Let's consider an example of a survey in which 5 data are taken. 1. Gender 2. Age 3. weight. 4. waist diameter 5. Diabatic patient or not. Based on the obtained data, two main sets are formed, namely diabetic patient and non-diabatic patient. Using this data we will be able to predict whether a new person in the given region will have diabetes or not. The new technology of machine learning uses data for predictions and classifications. (The more the data available,the more accurate the prediction). The NCERT solutions for class 11 maths chapter 1 sets will improve the basics of sets which will be useful in further mathematics courses also. Check NCERT solutions provided to help you when you are stuck in the NCERT problems. There are six exercises and a miscellaneous exercise in this chapter which are explained below.
1.2 Sets and their Representations
1.3 The Empty Set
1.4 Finite and Infinite Sets
1.5 Equal Sets
1.7 Power Set
1.8 Universal Set
1.9 Venn Diagrams
1.10 Operations on Sets
1.11 Complement of a Set
1.12 Practical Problem
A brief summary of NCERT solutions for class 11 maths chapter 1 Sets are given below:
Another important concept of NCERT solutions for class 11 maths chapter 1 is operations on sets. The Venn diagrams for basic operations are shown below
1. U represents universal sets, A and B represents sets A and B respectively
2. Union of A and B is represented by the green colour. Denoted by :
3. The intersection of set a and B is represented by green colour. Denoted by
4. A-B: A but not B. A-B is represented by red colour
You can solve many problems using operations on sets. An example from the NCERT textbook is given below.
Q) In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student likes to play at least one of the two games. How many students like to play both cricket and football?
Solution: Total number of students in class 35.
Number of students like to play cricket: n(c)=24
Number of students like to play football: n(f)= 16
35=n(c)+n(f)-Number of students like to play both cricket and football
therefor Number of students like to play both cricket and football=40-35=5
This can be represented by a Venn diagram as follows