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.

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.

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.

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.

1. A binary operation ‘*’ defined on set A is a function from A × A→A. *(a, b) is denoted by a * b.
2. Binary operation * defined on set A is said to be commutative iff a * b = b *a ∀ a, b ∈ A.
3. Binary operation*defined on set A is called associative iff a*(b * c) = (a * b) * c ∀ a, b, c ∈ A.
4. 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.