Are you searching for the best NCERT Solutions for Class 11 Maths Chapter 1 Sets? Here in this article, Study Path has provided what you need exactly. NCERT Solutions for Class 11 Maths Chapter 1 Sets includes all the questions of the NCERT textbook that are solved and explained beautifully using Vann diagrams, images etc. Here you can get complete NCERT Solutions for Class 11 Maths Chapter 1 Sets in one place.
NCERT Solutions for Class 11 Maths Chapter 1 Set solved by expert teachers at Study Path. The Solutions to the questions of Chapter 1 Sets Maths Class 11 have been solved in a very logical, step-by-step manner. It is as prepared per the latest Syllabus and NCERT Guidelines.
Class 11 Maths Chapter 1 Sets Solutions
In this section, we have provided the links of different exercises of the chapter. Click on the appropriate links to access the solutions we want.
- Exercise 1.1
- Exercise 1.2
- Exercise 1.3
- Exercise 1.4
- Exercise 1.5
- Exercise 1.6
- Miscellaneous Exercise
NCERT Solutions for Class 11 Maths Chapter 1 Sets – A Brief Discussion
Chapter Overview: In the above section, we have listed the major concepts of Maths covered in Chapter 1- Sets of NCERT Solutions for Class 11. In this section, we will explain some important terms that you must know to understand the concepts of sets easily.
Set: A set is a well-defined collection of objects.
Null set: A set which does not contain any element is called the empty set or the null set or the void set.
Finite and Infinite Set: A set which is empty or consists of a definite number of elements is called finite otherwise, the set is called infinite set.
Equal and Unequal Sets: Two sets A and B are said to be equal if they have exactly the same elements and we write A = B. Otherwise, the sets are said to be unequal and we write A ≠ B.
Subset: A set A is said to be a subset of a set B if every element of A is also an element of B.
In other words, A ⊂ B if whenever a ∈ A, then a ∈ B. It is often convenient to use the symbol “⇒” which means implies. Using this symbol, we can write the definiton of subset as : A ⊂ B if a ∈ A ⇒ a ∈ B
Power Set: The collection of all subsets of a set A is called the power set of A. It is denoted by P(A).
Venn Diagrams: Most of the relationships between sets can be represented by means of diagrams which are known as Venn diagrams.
Union of Sets: Let A and B be any two sets. The union of A and B is the set which consists of all the elements of A and all the elements of B, the common elements being taken only once. The symbol ‘∪’ is used to denote the union. Symbolically, we write A ∪ B and usually read as ‘A union B’
Intersection of sets: The intersection of sets A and B is the set of all elements which are common to both A and B. The symbol ‘∩’is used to denote the intersection. The intersection of two sets A and B is the set of all those elements which belong to both A and B. Symbolically, we write A ∩ B = {x : x ∈ A and x ∈ B}
Difference of sets: The difference of the sets A and B in this order is the set of elements which belong to A but not to B. Symbolically, we write A – B and read as “ A minus B”.
De Morgan,s Law: The complement of the union of two sets is the intersection of their complements and the complement of the intersection of two sets is the union of their complements. These are called De Morgan’s laws.