NCERT Solutions for Class 11 Maths Exercise 1.3

NCERT Solutions for Class 11 Maths Chapter 1: Important Topics

Sets is one of the basic and most interesting chapters of all. Students will find the concepts and questions exciting as they follow the conceptual videos and practice the problems. The more problems students attempt to solve, the more efficient they can become in the topic. Gradually, students will develop the speed and accuracy to solve any kind of question asked in the exam.

Embibe offers NCERT solutions to each and every question of the Class 11 Maths Chapter 1 textbook, considering the latest syllabus. Also, Embibe provides NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for.

Below-mentioned is the list of topics included in Class 11 Maths Chapter 1

S.No	Topic Name
1	Sets and their Representations
2	Types of Sets
3	Subsets
4	Operations on Sets
5	Difference of Sets
6	Complement of a Set
7	Venn Diagrams
8	Practical Problems on Union and Intersection of Two Sets

S.No

Topic Name

Sets and their Representations

Practical Problems on Union and Intersection of Two Sets

NCERT Solutions for Class 11 Maths Chapter 1.3 Sets: Points to Remember

Some of the important points of Exercise 1.3 of Class 11 Maths are provided below for students’ reference.

Set: A set is a well-defined and distinct collection of objects, and it is denoted by capital letters like A, B, C

Representation of Sets: There are two methods of representing a set,
(i) Roster or Tabular form: We list all the members of the set within braces {} and separate them by commas. For example: A={1, 2, 3, 4}
(ii) Set-builder form: We list the property or properties satisfied by all the elements of the sets. For example: A={x: x∈N, x<5}

Types of Sets: (i) Empty Set: A set consisting of no element is called the Empty set and is denoted by ϕ.
(ii) Singleton Set: A set consisting of a single element is called a singleton set.
(iii) Finite and infinite Set: A set consisting of a finite number of elements is called a finite set. Otherwise, the set is called an infinite set.
(iv) Equal Sets: Two sets, A and B, are equal if they have exactly the same elements.
(v) Equivalent Sets: Two finite sets, A and B, are said to be equivalent if the number of elements is equal, i.e. n(A)=n(B)
(vi) Universal Set: The set of all elements of all related sets. The symbol U usually denotes it.
(vii) Disjoint Sets: Two sets which do not have any element in common are called Disjoint Sets.

FAQs on NCERT Solutions for Class 11 Maths Exercise 1.3 Sets

Q.1: What are the real-world applications of Chapter 1 – Sets in Class 11 Maths?
Ans: Sets provide the foundation for a number of sophisticated notions. Sets have a wide range of applications in Science and Mathematics, from the formulation of logical underpinnings for calculus, topology, and geometry to algebra involving fields, groups, and rings. Physics, Chemistry, Biology, and Electrical and Computer Engineering are all examples.

Q.2: What are the essential theorems in Exercise 1.3 Class 11 Maths?
Ans: In Chapter 1, you will learn the following key theorems: Sets in 11th Grade Math:
a. The union of two sets, A and B contain elements that are in set A and set B.
b. The intersection of sets A and B contains common elements from sets A and B.
c. The complement of set A is the set of elements from the universal set U that are not in A.
These theorems will help you when you are answering Sets-related queries.

Q.3: In each exercise of NCERT Solutions for Class 11 Maths Chapter 1, how many problems are there?
Ans: Students can better understand the concepts discussed by practicing the exercise-based tasks on a regular basis. Each Chapter 1 practice has the following amount of questions:

Exercise 1.1 – 6 questions

Exercise 1.2 – 6 questions

Exercise 1.3 – 9 questions

Exercise 1.4 – 12 questions

Exercise 1.5 – 7 questions

Exercise 1.6 – 8 questions

Miscellaneous Exercise – 16 questions

Q.4: In Chapter 1 of NCERT Solutions for Class 11 Maths, what uses of sets are discussed?
Ans: In both the real-world and Mathematics, sets have countless uses. Sets play a crucial part in the formulation of calculus, topology, and geometry, as well as the creation of algebra around fields, rings, and groups. Physics, Chemistry, Electrical Engineering, Computer Science, and Biology are among the subjects that employ it.

Q.5: Where can I get CBSE Maths Chapter 1 Solutions for Class 11?
Ans: You can download Exercise 1.3 Class 11 Maths Solutions from Embibe.

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Last Modified 11-11-2024