NCERT Solutions for Sets Exercise 1.4 Class 11 Maths

NCERT Solutions for Sets Exercise 1.4 Class 11 Maths: The first chapter of CBSE Class 11 is an extremely important for Class 11 Board exams. The name of the chapter is Sets. Chapter 1 Class 11 Maths carries a weightage of 11 marks. NCERT Class 12 Maths solutions are curated by the subject experts at Embibe. Students can refer to these solutions and practice for.

NCERT Exercises Chapter 1 Class 11 provides questions that demands in-depth knowledge from the students. Sets deal with topics like explanation of sets, subsets, compliment of sets, types of sets and much more that are important for board exams. Students can go through the topics and practice the concepts through the NCERT exercise questions. Read through the article to know more about the Exercise 1.4 Class 11 Maths! 

NCERT Solutions for Sets Exercise 1.4 Class 11 Maths: Overview

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NCERT Solutions for Sets Exercise 1.4 Class 11 Maths: Chapter Overview

Before we go into the exercise 1.4 class 11 maths solutions, let us see an overview of the chapter. Sets and functions is an important chapter that lays a foundation for complex concepts that are asked in every competitive exam. Given below are the exercises along with the topics covered under each exercise for the students to refer to:

An assortment of items that is distinct is viewed as a set. Set is characterized by an existing rule, with which it is feasible to conclude whether an object constitutes a set and whether a collection is a set. Issues and arrangements in this set let us know how to learn whether a collection of elements is set, various kinds of sets, polynomial math, algebra of sets, and power sets.

This chapter will assist the wards with building a strong foundation of comprehension in Maths. It will assist the students with realizing how sets are addressed using images and Venn diagrams. We write the set in curly brackets. Always remember that the sets will contain the number of elements that are fixed. But it does not mean the elements cannot vary. For example, the set of seven is {1, 2, 3, 4, 5, 6, 7} and the set of cricket players are {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.4

Students can refer to the PDF, bookmark them and refer to them whenever they want to at Embibe. Here we have provided the links for the students to practice at their convenience along with a brief explanation of Chapter 1.

Check For The PDF For Chapter 1 Exercises Class 11

Q.1: If X=a,b,c,d and Y=f,b,d,g, find X∩Y.
Solution: X=a,b,c,d and Y=f,b,d,g

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 represent intersection.
A∩B=x:x∈A and x∈B Given Sets, X=a,b,c,d and Y=f,b,d,g ∴X∩Y=a,b,c,d∩f,b,d,g ⇒X∩Y=b,d.

Q.2: If R is the set of real numbers and Q is the set of rational numbers, then what is R-Q?
Solution: Given sets,
R: set of real numbers
Q: set of rational numbers
The combination of rational numbers and irrational numbers are Real numbers.
The difference of the sets A and B in this order is the set of elements which belong to A but not to B.
i.e. A-B=The elements present in only A which are not in B
R-Q=The set of elements in only R not in Q
∴R-Q: set of irrational numbers
Q.3: {2, 3, 4, 5} and {3, 6, 7, 9, 10} are not disjoint sets.
True
Solution: As 3∈{2, 3, 4, 5}, 3∈{3, 6, 7, 9, 10}
⇒{2, 3, 4, 5}∩{3, 6, 7, 9, 10}={3}
If two sets have no common elements, they are said to be disjoint sets.
So, these sets are not disjoint sets.
Therefore, the given statement is true.

Sets is an important chapter that deals with numerous topics that are important. The types of sets include:

• Empty Sets
• Singleton Set
• Finite and infinite Set
• Equal Sets
• Equivalent Sets

Among these sets, class 11 ex 1.4 deals with topics like:

1. Venn Diagrams
2. Operations on Sets
   a. Union of sets
   b. Intersection of sets
   c. Difference of sets

The subject experts at Embibe has provided the solutions at Embibe for the further reference for students. Here, given below are a few images which explains the Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.4.

Benefits of Solving NCERT Questions and Finding Solutions

There are numerous advantages of NCERT in-text questions and solving them. Here are a few reasons on why a student should be thorough with the NCERT questions and their solutions?

1. Deeper Knowledge On The Concepts: NCERT books are the main source of information for most of the students those who are practicing for any board or competitive exams! This is because the most challenging topics are explained in the most comprehensive manner in the NCERT textbooks. An in-depth knowledge is provided topic-wise. By solving the NCERT questions, students get a clear idea on the subject. When it comes to Maths, clarity is very important and solving the in-text solutions will give the students the necessary clarity of concepts. Students should do extensive practice sessions to be better at Maths.
2. Important Questions Under CBSE Curriculum: Though the CBSE organises the Class 11 board exam every year, it is the respective schools that conduct the exam. Students often find them challenging. This is due to the standard of questions. When a student solves the NCERT solutions, and practice them regularly, the board exams can be tackled easily. Most of the questions asked in the Class 11 Maths exam are based on the NCERT in-text questions.
3. Better Marks with topic-wise clarity: NCERT in-text questions will lead a student to score the best marks. Even if they do not have time to practice the extra questions from the syllabus, solving NCERT questions are more than enough to score good marks for exam. There are exercises that covers each topic and hence students will get the topic-wise clarity.
4. Best way To Prepare For Competitive Exams: If the students are aiming for cracking the competitive exams then NCERT books are the best way of preparation. NCERT books can lay a strong foundation with respect to topics of any subject. Henceforth, students can understand advance topics with ease in future. Also, Class 11 NCERT books and Class 9 NCERT books have to be thorough by the students to get the best marks in JEE, NEET and similar exams.

FAQs on NCERT Solutions for for Sets Exercise 1.4 Class 11 Maths

Students might face a lot of challenges during the preparation of Class 11 Maths exams. Having said that, Sets is a very important chapter in Maths. There could be numerous doubts while going thorugh the chapter. Here we have provided a few frequently asked questions along with their solutions below:

Q.1: Where can I download the ex 1.4 class 11 Maths?

Ans: All the exercises of Chapter 1 Maths Class 11 can be downloaded from Embibe. Embibe provides the accurate answer key for each exercises that are given by the subject experts. Also, students can practice the questions for and access the study materials as well. There are mock tests, video lessons and feedback sessions given by Embibe for the students of cost! So, the exercise 1.4 Class 11 maths is given and can be downloaded from Embibe.

Q.2: What are the few important topics under chapter 1 Sets of Class 11?
Ans: A few of the important topics are:

• Sets and Their Representations
• Empty Set
• Finite and Infinite Sets
• Equal Sets
• Subsets
• Subsets of a set of real numbers especially intervals (with notations)
• Power Set
• Universal Set
• Venn Diagrams
• Union and Intersection of Sets
• Difference of Sets
• Complement of a Set
• Properties of Complement

Students can go through these topics and refer to other study materials for an in-depth knowledge.

Q.3: Is the chapter sets useful in real life?
Ans: Yes! The chapter is really useful in real life. A collection of anything is a set. So, when you keep a collection of vessels in the table, it becomes a set. You collect random things and organise them in order represents a set. Moreover, sets are used in algebra, physics, chemistry, biology and so on. In every fields, sets are used in an extensive manner.

Q.4: What are the few theorems I should keep in mind while learning sets?
Ans: A few theorems you should keep in mind while learning sets are:

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 contain common elements from set A and B.
c. The complement of set A is the set of elements from the universal set U that are not in A.

Q.5: Is the chapter sets easy to understand?
Ans: Yes! Sets of Class 11 is very easy to understand according to the students. It is one of the highest scoring topics if learnt well. For further reference of the chapter, students can look at the video lessons, mock test series and articles given by Embibe.

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We hope that the article, NCERT Solutions for Sets Exercise 1.4 Class 11 Maths will help the students to resolve their doubts regarding the Chapter. Stay tuned to Embibe for more updates on NCERT Solutions for Sets Exercise 1.4 Class 11 Maths!