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NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions

NCERT Solutions for Class 12 Maths Chapter 1 are discussed in detail in the article below for CBSE class 12 students. Students can find all the solutions to the Class 12 Maths Chapter 1 on this page!
authorImageKrati Saraswat18 Jan, 2024
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NCERT Solutions for Class 12 Maths Chapter 1

NCERT Solutions for Class 12 Maths Chapter 1: NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions offer answers to all the questions listed in the chapter. All the problems in the exercises are solved using a step-by-step approach. Working through the questions in the Class 12 Maths NCERT textbook aids in understanding the concepts accurately. Students can freely download and review these NCERT Solutions for Class 12 Maths to enhance their mathematical skills.

Students need to understand not only the fundamental aspects of this chapter but also the more advanced sections to gain a strong command over Relations and Functions. Practising with these NCERT Solutions for Class 12 Maths will support students in preparing for exams, making even the challenging questions in this chapter seem quite manageable. The PDF of the NCERT Solutions for this chapter can be obtained from the link given below.

CBSE Class 12 Maths Syllabus

NCERT Solutions for Class 12 Maths Chapter 1 Overview

NCERT solutions for class 12 maths Chapter 1 deals with relations and functions, types of relations, types of functions, the composition of functions and invertible functions, binary operations, and various examples. You can find links to exercise Solutions for the topics covered in this chapter. These solutions serve as valuable resources, offering step-by-step guidance and clarification on problem-solving approaches. Students can find links to these exercise solutions, providing an additional aid to reinforce their understanding and enhance their proficiency relations, functions, and related mathematical operations.

NCERT Solutions for Class 12 Maths Chapter 2

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

Chapter 1 of the NCERT textbook discusses relations and functions, different kinds of relations, various types of functions, function composition, invertible functions, binary operations, and provides several examples. You can access exercise solutions related to the topics covered in this chapter:
NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercises
Exercise 1.1
Exercise 1.2
Exercise 1.3
Exercise 1.4
Miscellaneous Exercise

Benefits of NCERT Solutions for Class 12 Maths Chapter 1

Let's discuss the benefits of using NCERT solutions for Class 12 Maths Chapter 1.
  1. Aligned with Curriculum: NCERT solutions are specifically designed to align with the curriculum prescribed by educational boards. This ensures that students are studying the topics that are essential for their exams.
  2. Clarity of Concepts: The solutions are crafted in a step-by-step manner, providing a clear understanding of the concepts. This helps students grasp the underlying principles and apply them to solve problems effectively.
  3. Comprehensive Coverage: Each and every topic from the chapter is covered comprehensively in the solutions. This ensures that students don’t miss out on any critical aspect of the chapter, helping them prepare for exams more thoroughly.
  4. Solved Examples: The NCERT solutions include solved examples for each type of problem. These solutions act as a guide for students to understand the problem-solving approach, enhancing their problem-solving skills.
  5. Practice Material: Apart from solved examples, NCERT solutions provide additional exercises for practice. Regular practice is crucial for mastering mathematical concepts, and these solutions offer a plethora of problems for students to work on.
  6. Accuracy and Reliability: Since NCERT is the official textbook prescribed by educational boards, the solutions provided are accurate and reliable. Students can trust the content, ensuring that their efforts are focused on the right information.
  7. Exam Preparation: NCERT solutions are an invaluable resource for exam preparation. They cover the entire syllabus, and practising with these solutions can give students a good idea about the types of questions that might appear in exams.
  8. Time Management: The solutions often provide efficient methods to solve problems, helping students manage their time during exams. This is especially important in a time-bound exam setting where quick and accurate problem-solving skills are crucial.
  9. Understanding Different Approaches: Some problems can be solved using different approaches. NCERT solutions often present alternative methods, giving students a broader understanding of the concepts and allowing them to choose the approach that suits them best.
  10. Revision Tool: As the exams approach, NCERT solutions serve as an excellent tool for quick revision. Students can revisit the solutions to refresh their memory and reinforce the concepts learned earlier.

NCERT Solutions for Class 12 Maths Chapter 3

How to Prepare With NCERT Solutions for Class 12 Maths Chapter 1?

Preparing for Class 12 Maths Chapter 1 using NCERT solutions can be an effective strategy as it provides a comprehensive understanding of the topics covered in the textbook. Here is a detailed guide on how to prepare using NCERT solutions for Class 12 Maths Chapter 1: Step 1: Familiarise Yourself with Chapter
  1. Read the Chapter Thoroughly: Begin by reading the entire chapter from your NCERT textbook. Understand the concepts, definitions, and theorems explained in the chapter.
  2. Make Notes: Create concise notes summarising key points, formulas, and important examples. This will serve as a quick revision tool later on.
Step 2: Solve NCERT Exercises
  1. Start with Examples: Solve all the examples given in the NCERT textbook. Examples are designed to help you understand the application of concepts.
  2. Work on Exercise Problems: NCERT textbooks have a set of exercises at the end of each chapter. Solve each problem systematically. Try to solve them on your own before referring to the solutions.
Step 3: Use NCERT Solutions
  1. Refer to NCERT Solutions: Once you've attempted solving the exercises, refer to the NCERT Solutions for Class 12 Maths Chapter 1. NCERT Solutions provide step-by-step explanations for each problem, helping you understand the correct approach to solving them.
  2. Understand the Solutions: Don't just memorise the solutions. Understand the logic and methodology used to solve each problem. This will enhance your problem-solving skills.
Step 4: Practise Additional Problems
  1. Use Reference Books: Apart from NCERT, you can refer to other textbooks or practice books that provide additional problems related to Relations and Functions. This will expose you to a variety of problem types.
  2. Online Resources: Explore online platforms that offer supplementary practice problems, quizzes, and interactive learning tools related to Class 12 Maths.
Step 5: Seek Help When Needed
  1. Consult Teachers: If you face difficulties in understanding any concept, don’t hesitate to seek help from your teachers. They can provide additional explanations and clarify doubts.
  2. Online Forums and Communities: Participate in online forums or communities where students discuss academic topics. This can be a good platform to share your doubts and get insights from peers or educators.
Step 6: Regular Revision
  1. Create a Revision Schedule: Allocate specific time for regular revision. This helps reinforce the concepts in your memory.
  2. Review Your Notes: Periodically review the notes you made during the initial reading. Focus on key formulas, definitions, and examples.
Step 7: Mock Tests and Sample Papers
  1. Take Mock Tests: Practise solving mock tests and sample papers to assess your understanding of the chapter. This will also help you manage time during the actual exam.
  2. Analyse Mistakes: After each mock test, analyse your mistakes. Identify weak areas and revisit those topics for a better understanding.
Step 8: Stay Consistent
  1. Consistent Study Routine: Instead of cramming, maintain a consistent study routine. Regular, focused study sessions are more effective than last-minute preparation.
  2. Healthy Breaks: Take short breaks during study sessions to keep your mind fresh and focused.

NCERT Solutions for Class 12 Maths Chapter 1 FAQs

What are the key features of NCERT Solutions for Class 12 Maths Chapter 1?

The NCERT Solutions for Class 12 Maths Relations and Functions cover various concepts like types of relations, types of functions, the composition of functions, invertible functions, and binary operations. 

Are NCERT Solutions for Class 12 Maths Chapter 1 enough to prepare for the CBSE exams?

Chapter 1, Relations and Functions, encompasses crucial topics aligned with the latest CBSE guidelines. This chapter comprises four exercises, offering students a variety of problems for independent solving. The solutions are crafted to instill confidence in students, preparing them effectively for CBSE exams.

What does NCERT Solutions for Class 12 Maths Chapter 1 cover?

Chapter 1 of NCERT Solutions for Class 12 Maths deals with the concepts of relations and functions, exploring types, composition, invertible functions, and binary operations.

Why is understanding relations and functions important in mathematics?

Relations and functions form the foundation of many mathematical principles. They help in understanding mathematical relationships and are crucial in various advanced mathematical topics.

What is unique about invertible functions discussed in this chapter?

Invertible functions, covered in Chapter 1, have an inverse that undoes their operation. Understanding invertible functions is essential for solving equations and mathematical transformations.
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