NCERT Solutions Class 12 Maths Chapter 1 Relations and Functions
NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions describes all the fundamental concepts covered in this most important algebraic topic. The mathematical term relation is drawn from the English word relation that implies two objects or quantities have a recognizable connection. Students have already studied the notion of relations, functions, domain, co-domain, and range in class 11. Chapter 1 of class 12 maths further elaborates the types of relations, functions, composition of functions, invertible functions, and binary operations. By learning through NCERT Solutions Class 12 Maths Chapter 1, students will get well-versed with all these topics and their applications.
Some of the types of relations explained in this chapter are empty relation, universal relation, symmetric relation, and transitive relation. An empty relation is also known as a void relation and is defined as a set in which there exists no relationship between the elements. With the regular practice of Class 12 Maths NCERT Solutions Chapter 1, students will quickly gain a deep understanding of Relations and their types. To learn and practice with NCERT Solutions Chapter 1 Relation and Functions, download the exercises provided in the links below.
- NCERT Solutions Class 12 Maths Chapter 1 Ex 1.1
- NCERT Solutions Class 12 Maths Chapter 1 Ex 1.2
- NCERT Solutions Class 12 Maths Chapter 1 Ex 1.3
- NCERT Solutions Class 12 Maths Chapter 1 Ex 1.4
- NCERT Solutions Class 12 Maths Chapter 1 Miscellaneous Exercise
NCERT Solutions for Class 12 Maths Chapter 1 PDF
Students often juggle the study material during exams that result in poor scores. It is essential to wisely choose the right resource to pave the way to exam success. NCERT Solutions for Class 12 Maths are meticulously formulated by subject matter experts to support and promote the understanding of Relations, Functions, and their types. To practice with these solutions, click on the links of the pdf file given below.
☛ Download Class 12 Maths NCERT Solutions Chapter 1 Relations and Functions
NCERT Class 12 Maths Chapter 1
NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions
The concept of functions was first introduced in the 17th century and has evolved over a long period of time. The definition of function known to us presently was given after set theory was developed by Georg Cantor (1845-1918). NCERT solutions Class 12 Maths Chapter 1 Relations and Functions are comprehensive guides that efficiently impart the complete knowledge of relations and functions. These resources are competent to strengthen the key skills required to study all topics in detail and also practice relations and functions worksheets . To practice the exercise-wise NCERT Solutions Class 12 Maths Relations and Functions, try the links given below.
- Class 12 Maths Chapter 1 Ex 1.1 - 16 Questions
- Class 12 Maths Chapter 1 Ex 1.2 - 12 Questions
- Class 12 Maths Chapter 1 Ex 1.3 - 14 Questions
- Class 12 Maths Chapter 1 Ex 1.4 - 13 Questions
- Class 12 Maths Chapter 1 Miscellaneous Ex - 19 Questions
☛ Download Class 12 Maths Chapter 1 NCERT Book
Topics Covered: The topics covered in NCERT Solutions Class 12 Maths Chapter 1 are types of relations, types of functions, representation of functions, the composition of functions, invertible function, and binary operations.
Total Questions: Class 12 Maths Chapter 1 Relations and Functions has 55 questions in 4 exercises along with 19 extra questions provided in a miscellaneous exercise. These problems are mostly short answer types and multiple choices that are based on types of relations and functions, their compositions as well as binary operations.
List of Formulas in NCERT Solutions Class 12 Maths Chapter 1
The topic of relations and functions is majorly focused on learning terms, definitions, theorems, and properties. NCERT Solutions Class 12 Maths Chapter 1 elaborates all these essential concepts using illustrations. Some of the important concepts defined in these NCERT Solutions are quite helpful for excellent exam preparation. This topic is also used in the next chapter as a basis for inverting trigonometric functions. Thus, students must have a good grasp of all the procedures, definitions, and formulas outlined in this lesson as they will be used further also. Kids can gain a deep understanding of these by referring to the details provided in NCERT Solutions for Class 12 Maths Chapter 1.
- Symmetric relation: A Symmetric relation R in X satisfies a certain relation as (a, b) ∈ R implies (b, a) ∈ R.
- Reflexive relation: A Reflexive relation R in X can be given as: (a, a) ∈ R; for all ∀ a ∈ X.
- Transitive relation: A Transitive relation R in X can be given as (a, b) ∈ R and (b, c) ∈ R, thereby implying (a, c) ∈ R.
- Equivalence relation: Equivalence relation R in X is a relation that shows all the reflexive, symmetric, and transitive relations.
- Injective Function: A function f: X → Y is one-one/injective; if f(x1) = f(x2) ⇒ x1 = x2 ∀ x1 , x2 ∈ X.
- Subjective Function: A function f: X → Y is onto/surjective; if given any y ∈ Y, ∃ x ∈ X such that f(x) = y.
FAQs on NCERT Solutions Class 12 Maths Chapter 1
What is the Importance of NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions?
NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions are developed by experienced professionals and field experts to promote a deep understanding of concepts. These solutions are framed after thorough research and are well structured in a suitable manner to enhance the topic-wise learnability of relations and functions. Practicing with these resources will help students to strategize effectively for exams.
What are the Important Topics Covered in Class 12 Maths NCERT Solutions Chapter 1?
Chapter 1 Relations and Functions of class 12 Maths fairly covers all the important topics and subtopics in four comprehensive exercises. The important topics covered in the NCERT Solutions Class 12 Maths Chapter 1 are types of relations, types of functions, the composition of functions, invertible functions, and binary operations. The set of problems provided in these solutions are proficient at enhancing the problem-solving skills of students. The primary goal of these solutions is to help kids score well in the Class 12 exams. With the help of these valuable resources, it becomes pretty convenient to prepare for various competitive exams.
Do I Need to Practice all Questions Provided in NCERT Solutions Class 12 Maths Relations and Functions?
The questions included in NCERT Solutions Class 12 Maths Relations and Functions are well-framed to facilitate thorough conceptual understanding. By practicing all questions available in these solutions, students can easily master the fundamentals of Relations and Functions and their applications. These solutions help in getting well-versed with the terms and theorems related to Relations and Functions.
How Many Questions are there in Class 12 Maths NCERT Solutions Chapter 1 Relations and Functions?
NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions has 55 questions in 4 exercises. The practice of these exercises is useful in attaining a clear understanding of this topic, including important terms, definitions, theorems, and concepts based on Relations and Functions. The easy-to-understand format of these solutions is proficient for acquiring a sound understanding of the types of Relations and Functions.
What are the Important Formulas in NCERT Solutions Class 12 Maths Chapter 1?
NCERT Solutions Class 12 Maths Chapter 1 explains the concept of Relations and Functions. Some of the important concepts described in these solutions are based on understanding the types of relations, types of functions, the composition of functions, and their boolean operations. These concepts are covered in detail with the help of examples and illustrations. This chapter requires students to concentrate more on theory rather than formulas.
Why Should I Practice NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions?
NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions is a competent learning resource that offers complete guidance and practice of core concepts for higher-level studies. These solutions cover the whole syllabus of CBSE Class 12 Maths Chapter 1 to provide comprehensive learning of all topics. The format of these solutions is simple and easy for students to grasp all complex concepts. Regular practice of these resources will ensure the best results in exams.