RD Sharma Class 12 Maths Solutions Chapter 1 - Relations

RD Sharma Solutions for Class 12 Maths Chapter 1 - Relations - Free PDF Download

For your RD Sharma Solutions Class 12 Mathematics Chapter 1, get the best material for Class 12 Mathematics with expert solutions to the problems. With the step-wise RD Sharma Class 12 Solutions Relations by our professional Mathematics teachers, learn to quickly solve math numerals as per your Class 12 Science Mathematics syllabus. With regular practice of the solutions, you will get over your fear of Mathematics problems and score good marks in your board exams. Class 12 RD Sharma Solutions Chapter 1 allows you to understand the principles of Mathematics clearly, such as derivatives, linear equations, likelihood, etc.

RD Sharma Class 12 Solutions Relations covers the aims and objectives of the topic that is being taught.
It is prepared according to the prescribed syllabus, and this book covers every part of the syllabus.

Students can use these RD Sharma Solutions for Class 12 Mathematics Chapter 1 – Relations to help them do well in their board exams. The RD Sharma textbook for Class 12 is based on the most recent CBSE (Central Board of Secondary Education) syllabus. At the end of each Chapter in this textbook, there is an exercise with multiple-choice questions and a summary for a quick review of ideas and equations. It is recommended that students use RD Sharma Solutions for Class 12 to make a difference in board exams.

Relationships and types are the focus of this Chapter. All of the topics are covered in the RD Sharma Solutions. The following are some of the Chapter's most important topics:

Class 12 RD Sharma Textbook Solutions Chapter 1 Relations

Relationships and types are the focus of this Chapter. All of the topics are covered in the RD Sharma Solutions. The following are some of the Chapter's most important topics:

Relations

A relation R from set X to a set Y is defined as a subset of the cartesian product X × Y. We can also write it as R ⊆ {(x, y) ∈ X × Y: xRy}.

Types of Relations

Void relation
Universal relation
Identity relation
Reflexive relation
Symmetric relation
Transitive relation
Anti-symmetric relation
Equivalence relation
Theorems based on relations

Each topic/Chapter has a summary for rapid review of the concepts and equations used. It's especially important for exercises that mostly consist of multiple-choice questions. You can undoubtedly rely on vedantu.com's RD Sharma Solutions, which covers all of the concepts covered in the Chapter. Furthermore, the competitive level questions are thoroughly covered.

Practising these RD Sharma Solutions for Class 12 Mathematics Chapter – Relations, will assist students in preparing for their first exam in such a way that they will find even the toughest questions from this Chapter to be incredibly simple.

These solutions were created by the subject matter experts from vedantu. Considering math is such a tough subject, the solutions on this site are constructed in a step-by-step method. It will assist the student in comprehending the formulae and strategies used in answering the problems. For a better understanding, RD Sharma's solutions for Class 12 use simple language and are presented with graphs and diagrams. Furthermore, these solutions are based on the most recent version of Rd Sharma Class 12th Mathematics, allowing you to practise using the most up-to-date syllabus.

The Chapter introduces students to topics including the various types of relations, distinguishing the types, identifying the types and where to apply different properties. As a result, the RD Sharma solutions that we provide here will assist students in strengthening the principles of this Chapter as well as improving their problem-solving skills. Our solutions are completely free, and students can browse them online or download them for the future.

FAQs on RD Sharma Class 12 Maths Solutions Chapter 1 - Relations

1. Where can I find the step-by-step solutions for RD Sharma Class 12 Maths Chapter 1 on Relations?

You can access the complete, step-by-step solutions for all exercises in RD Sharma Class 12 Maths Chapter 1, "Relations," right here on this page. Our solutions are crafted by expert teachers to ensure clarity and strict adherence to the CBSE marking scheme for the 2025-26 session.

2. How do the RD Sharma solutions for Chapter 1 help in solving problems on equivalence relations?

Our solutions provide a detailed, methodical approach for proving equivalence relations. For each problem, we clearly demonstrate how to check for the three essential properties:

Reflexivity: Proving that (a, a) ∈ R for every element 'a' in the set.
Symmetry: Proving that if (a, b) ∈ R, then (b, a) ∈ R.
Transitivity: Proving that if (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R.

Following this structured method as shown in the solutions is key to scoring full marks in board exams.

3. Are these solutions for RD Sharma Class 12 Chapter 1 updated for the latest CBSE syllabus?

Yes, all our RD Sharma solutions, including those for Chapter 1 on Relations, are fully updated to align with the latest CBSE syllabus and guidelines for the 2025-26 academic year. We ensure that the methods and concepts covered are current and relevant for your board exam preparation.

4. What is the best way to use these RD Sharma solutions for effective revision?

For maximum benefit, first attempt to solve the problems from the RD Sharma textbook on your own. Then, use our solutions to:

Verify your answers and check the correctness of your method.
Understand the prescribed step-wise approach for complex proof-based questions.
Identify and learn from your mistakes to avoid repeating them in exams.
Quickly revise different types of problems on relations before a test.

5. How do RD Sharma solutions for Relations differ from NCERT solutions?

RD Sharma as a reference book offers a wider variety and a higher volume of problems, including different difficulty tiers (Level 1, Level 2, MCQs). While NCERT solutions focus on fundamental concepts, our RD Sharma solutions help you master the application of these concepts across a broader range of question types, which is crucial for building confidence and tackling challenging problems in board exams and other competitive tests.

6. Why is it crucial to follow the exact steps shown in the solutions when solving problems on relations?

In mathematics, especially for proof-based topics like Relations, the methodology is as important as the final answer. Following the precise, logical steps provided in our solutions ensures you are not just reaching a conclusion, but are also demonstrating a clear, logical argument for properties like reflexivity, symmetry, and transitivity. This systematic approach is exactly what CBSE examiners look for when awarding marks.

7. Do these solutions cover the more difficult or HOTS (Higher Order Thinking Skills) questions from Chapter 1?

Absolutely. Our RD Sharma solutions for Chapter 1 provide detailed, easy-to-understand explanations for all questions, including the more challenging Level 2 and HOTS problems. We break down complex scenarios into understandable steps, helping you develop the problem-solving skills needed for any type of question that may appear in your exams.

8. Beyond just finding correct answers, how can these solutions help me identify my common errors?

By comparing your attempted solution with our expert-provided one, you can pinpoint specific conceptual gaps. For instance, you might discover that you are consistently making errors in checking the transitive property or misinterpreting the conditions of a given relation. Our clear, step-by-step format makes it easy to see precisely where your logic diverged, helping you to correct those fundamental mistakes before your exams.