Subject specialists have created NCERT solutions for class 12 maths chapter 1, including thorough solutions for reference. These solutions are updated according to the latest term – I CBSE syllabus for 2021-22 and are provided in easy language for understanding. Tips and tricks are also provided.

These solutions are provided so a student can clear his doubts and get help with a deep understanding of the concept. Also, you can refer them to make the chapter notes and revisions notes. You can also download PDF from the link.

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Chapter 1**

**NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions**

In this chapter, students study different relations and equivalence relations, the composition of functions, invertible functions, and binary operations. Students can use the NCERT Solutions of this chapter for any quick reference to comprehend complex topics.

**The main features of this chapter are as follows:**

- Empty relation
- Universal relation
- Reflexive relation
- Symmetric relation
- Transitive relation
- Equivalence relation
- A function f : X → Y is one-one (or injective) if f (x1) = f(x2) ⇒ x1 = x2 ∀ x1, x2 ∈ X.
- A function f : X → Y is onto (or surjective) if given any y ∈ Y, ∃ x ∈ X such that f(x) = y.
- A function f: X → Y is one-one and onto (or bijective) if f is one-one and onto.
- A function f: X → Y is invertible if f is one-one and onto.

**The main topics covered in this chapter include:**

Reflexive, symmetric, transitive, and equivalence relations are examples of relations. One-to-one and onto functions, composite functions, and the inverse of a function are all examples of functions.

Maths Class 12 NCERT Solutions Chapter 1 Exercise |

Exercise 1.1 Class 12 Maths |

Exercise 1.2 Class 12 Maths |

Exercise 1.3 Class 12 Maths |

Exercise 1.4 Class 12 Maths |

Miscellaneous Exercise on Chapter 1 Class 12 |

**Key Features of NCERT Solutions of this chapter**

- Subject experts make these NCERT exercises.
- Simple and understandable language was used.
- All questions are solved with perfect explanations.
- These NCERT Solutions are very helpful to students in their assignments and competitive exams.

**Frequently Asked Questions on NCERT Solutions of this chapter**

##### What are the concepts explained in NCERT Solutions in this chapter?

The concepts included in this chapter are types of relations, types of functions, the composition of functions and invertible functions, and binary operations. Our subject matter expert solves the solutions to the exercise-wise problems. The main objective of providing solutions is to help students score well in their exams.

##### What are the key features of these NCERT Solutions?

The NCERT exercises are solved by expert faculties having vast knowledge about these concepts. Every step is explained in easy and understandable language to help students learn the method of solving complex problems effortlessly. The solutions are solved stepwise, keeping in view the marks weightage of the CBSE term I exam.

##### Are these NCERT Solutions enough to prepare for the first term exams?

This chapter includes all the important topics based on the latest update of CBSE guidelines. This chapter provides four exercises, giving the students numerous problems to solve independently. The solutions are made to boost the confidence in the minds of students before appearing for the term I exams.