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RD Sharma Class 12 Solutions Chapter 1 - Relations (Ex 1.2) Exercise 1.2

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Last updated date: 16th May 2024
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RD Sharma Class 12 Solutions Chapter 1 Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 1 - Relations Exercise 1.2 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 1 - Relations Ex 1.2 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

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Competitive Exams after 12th Science

RD Sharma Class 12 Solutions Chapter 1 - Relations (Ex 1.2) Exercise 1.2

NCERT Class 12 Maths Solutions – Free 2024-25 CBSE PDF Form

NCERT Solutions for Class 12 Maths provide a solid conceptual foundation for all of the topics covered in the CBSE Class 12 Maths Syllabus. It explains all of the important theorems and formulas in detail to help students gain a better conceptual understanding. NCERT Solutions for Class 12 Maths will aid students in their preparation for undergraduate level engineering entrance exams such as JEE Mains, BITSAT, VITEEE, and others, which will be held in the academic year 2024-25.


Vedantu provides NCERT Solutions for Class 12 Maths, which have been designed by our subject experts to aid in the smooth and precise understanding of concepts. These NCERT Class 12 Solutions provide detailed step-by-step explanations of problems found in textbooks. Aside from solutions for each chapter of CBSE Class 12 Maths, Vedantu also offers Class 12 Maths notes, solved exemplar problems, and previous year question papers, as well as worksheets, as study materials for students preparing for their Class 12 board exams.


Term I: Relationships and Functions

The first chapter of the NCERT textbook covers relations and functions, types of relations, types of functions, function composition and invertibility, binary operations, and various examples. The links to the exercise solutions for the topics covered in this chapter can be found here.


Important Preparation Tips for Class 12 Maths

Class 12 exams are open to the public, and a large number of students take them each year. Unlike some subjects, math is a broad numerical subject that assesses students' knowledge and problem-solving abilities. Here are a few pointers to help students prepare for the math exam more effectively and perform well in the class 12 exam.


Ensure that you have The Necessary Materials.

It is critical to obtain proper study materials that cover the entire syllabus and explain the topics in an easy-to-understand manner. It is also critical that the books or reference materials contain a sufficient number of practice questions to aid in the development of problem-solving skills. For a CBSE student, NCERT books, along with RS Aggarwal or RD Sharma books for extra practice, are extremely beneficial.


Stick to the Syllabus and Practice

Maths requires a lot of practice. It is recommended that you stick to the syllabus topics during your preparation because all of the questions in the exams will be from the syllabus. Students must also practice different variations of questions in order to be able to answer any question in the exam easily.


Solve Problems and Examine Sample Papers

Solving previous year’s Maths question papers and sample papers is beneficial not only for becoming acquainted with the various question patterns but also for gaining an understanding of the exam pattern.


Chapter 1 Relations and Functions NCERT Solutions for Class 12 Maths

Students in NCERT Class 12 Maths Chapter 1 study various types of relations and equivalence relations, function composition, invertible functions, and binary operations. Students can use the NCERT Solutions for Class 12 Maths Chapter 1 as a quick reference to understand difficult topics.


This chapter's main features 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.

 

The NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives provides answers to all of the questions in this chapter, which is part of the term – I of the CBSE Class 12 Maths Syllabus for 2024-25. These NCERT Solutions include a comprehensive set of questions and answers organized at an advanced level of difficulty, giving students ample opportunity to apply their knowledge. Students can use these NCERT Solutions for Class 12 Maths to improve their skills.

 

Additionally, students can clear their doubts while solving problems at any time by downloading the PDF version of the NCERT Solutions for Class 12 Maths.

FAQs on RD Sharma Class 12 Solutions Chapter 1 - Relations (Ex 1.2) Exercise 1.2

1. What concepts are discussed in NCERT Solutions for Class 12 Maths Chapter 1?

Types of relations, types of functions, the composition of functions, invertible functions, and binary operations are among the concepts covered in the NCERT Solutions for Class 12 Maths Relations and Functions. A group of highly experienced faculty members solves the exercises-by-exercise problems. The primary goal of providing solutions is to assist students in performing well in their Class 12 Maths first term exams. Class 12 is very important for students to get into their dream college. Visit the Vedantu website for further information.

2. What distinguishes NCERT Solutions for Class 12 Maths Chapter 1?

The NCERT exercises are solved by subject matter experts who are well-versed in the key concepts. Each step is explained in simple language to help students easily grasp the method of solving complex problems. The solutions are solved in a step-by-step manner based on the CBSE term I exam marks weightage. It is critical to obtain proper study materials that cover the entire syllabus and explain the topics in an easy-to-understand manner. It is also critical that the books or reference materials contain a sufficient number of practice questions to aid in the development of problem-solving skills. 

3. Are NCERT Solutions for Class 12 Maths Chapter 1 sufficient for preparing for the first term exams?

Chapter 1: Relationships and Functions covers all of the important topics based on the most recent CBSE guidelines update. This chapter contains four exercises that provide students with a variety of problems to solve on their own. The solutions are created in such a way that students will feel more confident before taking the term I exams. Class 12 exams are open to the public, and a large number of students take them each year. Unlike some subjects, math is a broad numerical subject that assesses students' knowledge and problem-solving abilities. Here are a few pointers to help students prepare for the math exam more effectively and perform well in the class 12 exam.

4. Where can I find useful math study materials for class 12 Chapter 1?

Everything you need can be found on the Vedantu app or website. These resources are created by experts in the field, and the information is accurate and dependable. Students will be able to find revision notes, important questions, question papers, and much more! There are no fees or costs associated with these study materials. All students need to do is sign in, and then they can download whatever they want in pdf format. You can benefit from these free resources, which will undoubtedly help you ace your exams.

5. How can I do well in class 12 maths?

The only way to do well in class 12 maths is to practice. Complete all of the chapter exercises. This will enhance your problem-solving abilities as well as your speed and efficiency. Important formulas, definitions, and equations can be written down in a notebook and reviewed on a regular basis. Solve previous year's sample papers and question papers within a time limit. This will familiarise you with the paper pattern and question type, as well as help you improve your time management skills. Revise on a regular basis to ensure that you retain everything you've learned for a longer period of time.