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# CBSE Class 11 Maths

Last updated date: 16th Jul 2024
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## Foundations of Mathematical Concepts and Techniques for Class 11 Students

CBSE Solutions for Class 11 All Class 11 students will benefit from the PDF material. Last-minute revision may necessitate the use of solution material. Download it and become acquainted with the critical techniques for answering Sets-related questions. The best part is that you can get it for free.

Every learner should become acquainted with all of the chapter's concepts because they will aid in the study of other Math topics such as Probability, Sequences, and Geometry. Although this is a relatively simple chapter, it still requires a significant amount of time and practise. Vedantu has prepared a set of Class 11 CBSE Solutions PDF for your use.

Competitive Exams after 12th Science

## Follow Up with CBSE Class 11 Maths Syllabus

 Chapter No. Chapter Name According to- CBSE Class 11 Maths Book Chapter 1 Set & Functions Chapter 2 Algebra Chapter 3 Trigonometry Chapter 4 Coordinate Geometry Chapter 5 Calculus Chapter 6 Mathematics Reasoning Chapter 7 Statistics and Probability Chapter 8 Objective Questions

## Tricks To Remember Before Solving Exercises of Class 11 Maths CBSE:

1. Set: A set is called a well-defined collection of objects.

2. Representation of Sets: There are 2 methods to represent a set

1. Roster or Tabular Form: Within braces{ } and separated by commas, we list all the members of the set in this format.

2. Set-builder Form: We list the property or properties satisfied by all the elements of the sets in the set-builder form.

3. Types of Sets

• Empty Sets: An empty set, also known as a void set or null set, is a set that contains no elements. It is denoted by Φ or {}.

• Singleton Set: A singleton set is a set that contains only one element.

• Finite and Infinite Set: A set which has a finite number of elements, is called a finite set, if not the set is known as an infinite set.

• Equal Sets: Two sets A and B are said to be equal if all of their elements are also elements of the other, i.e. two equal sets will have the same elements.

• Equivalent Sets: If the number of elements in both sets is equal, two finite sets A and B are said to be equal., i.e. n(A) = n(B)

4. Subsets: Set A will be a subset of Set B if every element of Set A is also present in Set B. In simple words, set A is contained inside Set B.

For Example: If set A has {A, B} and set B has {A, B, C}, then A will be the subset of B since elements of A are also present in set B.

5. Power Set: The collection of all of the subsets of a set A is known as the power set of A. Generally this is denoted by P(A). If the no of elements in A i.e. n(A) = n, then the no of elements in P(A) = 2n.

6. Universal Set: A set which contains all sets in a given context is defined as the universal set.

7. Venn-Diagrams: Venn diagrams depict the relationship between two sets of data. In Venn diagrams, the universal set U is represented by a point inside a rectangle, and its subsets are represented by points within closed curves within the rectangle.

8. Union of Sets: The union of two sets A & B is denoted by A ∪ B will be the set of all those elements which are either in set A or in set B or in both A and B.

9. Intersection of Sets: The intersection of two sets A & B is denoted by A ∩ B, and it is the set of all elements which are common in both set A and set B.

## Why Should Students Download CBSE Class 11 Maths Book Solutions Chapter 1?

The following are the reasons why downloading Chapter 1 Maths Class 11 PDF material is advised.l:

• Class 11 Sets solutions are written by experts who strictly adhere to the CBSE Board's guidelines.

• The solutions are concise, and the step-by-step approach makes it easier for students to understand.

Students may struggle to understand and solve problems due to a lack of accurate reference materials. However, by using Sets Class 11 CBSE PDF provided by Vedantu, students can be confident that they will receive the desired grades in exams.

## Important Points to Attempt CBSE Class 11 Maths Book Solutions:

This chapter contains six exercises and one activity to help students fully understand the topics related to Sets in the CBSE Class 11 Maths Syllabus (2022-23). The key features of CBSE Solutions for Class 11 Maths all chapters are as follows:

• Correctly arranged solutions to assist students in quickly finding solutions.

• Detailed answers to questions that are easy to understand and learn.

• Expertly tailored to the curriculum.

• CBSEsolutions assist students in developing a solid conceptual foundation, which is critical in the final stages of competitive exam preparation.

• Students can quickly prepare for all of the concepts covered in their respective classes and even pass the most difficult competitive exams.

## Success with Vedantu!

While there is no substitute for hard work, some strategic thinking is also required to achieve your objectives. Guidance is essential for exam preparation, and Vedantu strives to provide it! We bring in subject matter experts who will provide you with all the assistance you require for optimal preparation and high scores. E-learning has become a buzzword in the field of education in recent years.

Vedantu simply integrated the entire social structure involving a student and teacher online into their platform. The government's effort to mainstream e-learning and digital education is a positive and prudent step forward.

Vedantu is growing in popularity, with over  students across India using its services. Vedantu will undoubtedly become one of the most valuable assets in digital education. Traditional teaching methods, such as coaching centres and private tuition groups, may be severely harmed. The widespread availability of one-on-one study sessions reflects students' and parents' growing trust in their educational model.

## FAQs on CBSE Class 11 Maths

1. What are the most important formulas that I need to remember in Class 11 Maths Chapter 1 - Sets?

Here are some important formulas you need to remember from Class 11 Maths Chapter 1 - Sets:

• If (A∪B)=ϕ, then n(A∪B)=n(A)+n(B)−n(A∩B)

• If (A∩B)=ϕ, then n(A∪B)=n(A)+n(B)

• (A∩B)′=A′∪B′

• (A∪B)′=A′∩B′

You can find the solutions to these in Vedantu’s CBSESolutions for Class 11 Maths Chapter 1- Sets on Vedantu (vedantu.com) free of cost. You can download the solutions from the Vedantu mobile app as well.

2. What are the real-time applications of Class 11 Maths Chapter 1 - Sets?

Sets serve as the foundation for many complex concepts. Sets have many applications in science and mathematics, ranging from the formulation of logical foundations for calculus, topology, and geometry to algebra related to the field, groups, and rings. Physics, chemistry, biology, and electrical and computer engineering are examples of such fields. You must have a solid understanding of sets.

3. What is the Syllabus of CBSEBook Class 11 Maths in elaborated form?

Students must understand the question paper pattern in order to perform well in the exam. The question paper is based on the CBSE Class 11 Maths Syllabus and is intended to simplify the subject. The 11th Maths CBSE book is divided into 16 chapters:

(1) Sets

(8) Binomial Theorem

(10) Straight Lines

(11) Conic Sections

(15) Statistics

(16) Probability.

4.How can student do well in the CBSE Maths class 11-science?

To do well in Maths Class 11-Science CBSE, one must thoroughly understand the concepts. When a learner understands the core concepts, it is much easier to attempt problems based on those concepts. This also encourages students to gain knowledge and excel in their studies. Once a learner understands the concepts in Maths Class 11-science CBSE, practice should become a daily ritual because it is the key to determining strengths and weaknesses. Practice is essential in subjects such as maths. Knowing how to apply a learned concept in daily life and problem solving is critical in Science. Once a learner is aware of what is going on around him or her, he or she can apply the theories learned in class.

5. Which is the most interesting chapter in class 11-science Maths?

Some students find Maths chapters in Class 11-science more interesting than Science chapters. Actually, students' interests differ from one another, with some preferring History chapters over Class 11-science Maths. It is clear that most students who enjoy Maths are most interested in chapters such as Algebra, Percentages, Profit and Loss, Trigonometry, and so on. Students preparing for various scholarships, Olympiads, or competitive exams are most likely to encounter chapters on metals and nonmetals, acids and bases, light, energy, work, power, and so on.

Students in Social Maths are most interested in stone and iron age history, the mediaeval age, world history, and India's struggle for independence, among other things. Vedantu provides you with access to a bank of resources in the form of videos, notes, and a blog.