NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Free
NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.1
NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions, contains solutions for all exercise 1.1 questions. These NCERT Solutions for Class 12 Maths are designed by experts in a simple and easy way so that students will be able to grasp the concepts perfectly. Students can download the NCERT Solutions of Class 12 mathematics to excel their maths skills.
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EXERCISE 1.1
NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions
In NCERT Class 12 Maths Chapter 1, students study different types of relations and equivalence relation, the composition of functions, invertible functions and binary operations.
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 both one-one and onto.
- A function f: X → Y is invertible if and only if f is one-one and onto.
NCERT Solutions For Class 12 Maths Chapter 1 Exercises:
Get detailed solutions for all the questions listed under the below exercises:
Exercise 1.2 Solutions: 12 Questions (10 Short Answers, 2 MCQ)
Exercise 1.3 Solutions: 14 Questions (12 Short Answers, 2 MCQ)
Exercise 1.4 Solutions: 13 Questions (12 Short Answers, 1 MCQ)
The main topics covered in this chapter include:
| Exercise | Topic |
| 1.1 | Introduction |
| 1.2 | Types of Relations |
| 1.3 | Types of Functions |
| 1.4 | Composition of Functions and Invertible Function |
| 1.5 | Binary Operations |
| Others | Miscellaneous Q&A |
Key Features of NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions
- These NCERT exercises are meticulously solved by subject experts.
- The simple and easy language used.
- All questions are solved with best possible explanations given.
- These NCERT solutions are a valuable help to students in their assignments and competitive exams.