NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.4 Relations and Functions in Hindi and English Medium for CBSE and State boards. Welcome to our comprehensive guide on Class 12 Maths Chapter 1 Exercise 1.4. This segment of the curriculum, focusing on Relations and Functions, is pivotal for students aiming to excel in their board exams and various competitive tests. Our solutions are meticulously designed to enhance your understanding and provide clarity on each problem in this exercise.

## Class 12 Maths Exercise 1.4 Solutions in Hindi and English Medium

### NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.4

Grade XII Mathematics exercise 1.4 solutions CBSE students as well as UP Board, MP Board, Bihar, Uttarakhand Board for 2024-25. NCERT Textbook solutions and Online Offline apps are for the students of boards whoever following the Updated NCERT Books for their board exams.

**Deep Dive into Relations and Functions**

The concept of Relations and Functions forms the bedrock of many advanced mathematical topics. In this chapter, you’ll explore the intricate relationship between sets of numbers and how they interact. Exercise 1.4 is crafted to test your grasp of these concepts, presenting challenges that require both theoretical knowledge and practical application. Our step-by-step solutions aim to demystify each problem, ensuring a comprehensive understanding of the methods involved.

Class: 12 | Mathematics |

Chapter 1: | Exercise 1.4 |

Topic Name: | Relations and Functions |

Content: | Exercise and Extra Questions |

Content Type: | Videos and Text Format |

Medium: | English and Hindi Medium |

#### 12th Maths Exercise 1.4 Solutions

NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.4 Relations and Functions in English medium free to download as well as use it online for current academic session. All NCERT solutions are updated as per the current & latest CBSE Syllabus. Download NCERT Books 2024-25 based on latest CBSE Curriculum. Join the discussion forum to ask your questions related to NIOS or CBSE Board.

**Effective Problem-Solving Strategies**

Beyond just solutions, we offer strategic insights to tackle mathematical problems efficiently. These tips are invaluable for enhancing your problem-solving speed and accuracy, crucial skills for any timed exam. Our approach is not just about finding the right answers but also about understanding the logic and reasoning behind each step.

#### Class 12 Maths Exercise 1.4 Solution in Videos

**Conclusion and Encouragement**

Our primary goal is to make learning an enjoyable and enriching experience. With our detailed solutions and additional practice problems, we hope to build your confidence and mastery in Class 12 Maths. Remember, the journey through mathematics is about more than just passing exams; it’s about developing a deep understanding and appreciation for the subject. Stay curious, practice regularly, and embrace the challenges that come your way.

This content is structured to provide an engaging and informative overview of Class 12 Maths Chapter 1 Exercise 1.4, offering both solutions and study strategies to help students succeed.

##### About 12 Maths Exercise 1.4

Class 12 Mathematics Chapter 1 Exercise 1.4 Relations and Functions contains the questions based on binary operation. All the questions are based on concepts only. These are easier to understand or explanation. Here we have to prove whether the Binary Operation is commutative or Associative and existence of identity elements. Questions in this exercise are little bit different what you have done in Exercise 1.1 or Exercise 1.3.

###### BINARY OPERATION

- A binary operation ‘*’ defined on set A is a function from A × A→A. *(a, b) is denoted by a * b.
- Binary operation * defined on set A is said to be commutative iff a * b = b *a ∀ a, b ∈ A.
- Binary operation*defined on set A is called associative iff a*(b * c) = (a * b) * c ∀ a, b, c ∈ A.
- If * is Binary operation on A, then an element e ∈ A (if exists) is said to be the identity element iff a*e = e*a = a ∀a ∈ A.

### Is exercise 1.4 of class 12th Maths complicated?

Exercise 1.4 of class 12th Maths is not easy and not complicated. It lies in the mid of easy and complicated because some examples and questions of this exercise are easy, and some are complex. However, the difficulty level varies from child to child. So, exercise 1.4 of class 12th Maths is easy, or tough depends on children also. Some children find it difficult, some find it easy, and some find it in the middle of easy and difficult.

### How many days are needed to complete exercise 1.4 of grade 12th Maths?

If students can give 2 hours per day to exercise 1.4 of class 12th Maths, they need 3-4 days to complete exercise 1.4 of 12th Maths. This time is an approximate time. This time can vary because no students can have the same working speed, efficiency, capability, etc.

### Which problems of exercise 1.4 of 12th Maths can come in Board Exams?

Exercise 1.4 of class 12th Maths has 12 examples (examples 29 to 40) and 13 questions. All the problems of exercise 1.4 are equally important from the exam point of view. Students should practice all examples and questions of this exercise for the exams because any example and any question can come from this exercise in the board exams.

### On which concept questions of exercise 1.4 of class 12th Maths are based?

Questions of exercise 1.4 of class 12th Maths are based on the concept named Binary Operations. In exercise 1.4, students study all about binary operations. This exercise is interesting.