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RS Aggarwal Class 12 Solutions Chapter 3 - Binary Operations

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Last updated date: 25th Apr 2024
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Download Important Class 12 RS Aggarwal Solutions for Chapter 3 - Binary Operations Free PDF from Vedantu

The RS Aggarwal Solutions for Class 12 Chapter-3 Binary Operations Maths have been provided on the website of Vedantu for the benefit of the CBSE Class 12 students. All the exercise questions of Maths Class 12 Chapters are solved and it will be a great help for the students in their exam preparation and revision. Vedantu is the leading online tutoring platform in India. These solutions have chapter-wise details that are provided to you for Free in PDF format. You will also get a PDF download option for all the RS Aggarwal Solutions that will help you in your exam preparation for the academic year 2024-25. Download RS Aggarwal Textbook Solutions for Class 12 Maths from Vedantu, which are curated by master teachers. Also, revise and solve the important questions for the Class 12 Maths (RS Aggarwal) exam using the updated CBSE textbook solutions provided by us.

Competitive Exams after 12th Science

Highlights of the Chapter 3 - Binary Operations

Chapter 3 of class 12 Mathematics from RS Aggarwal consists of concepts that are essentially an extension of Chapters 1 and 2 of Class 12 RS Aggarwal Relation and Functions. This chapter establishes the various methods of binary operations performed on relation and function problems. A binary operation can be considered as a function whose input is two elements of the same set S and whose output also is an element of S. 

The chapter further explains the commutative property of Binary Operations which can be expressed as:

If a*b= b*a for every a, b ∈ S

The associative property of binary operations can be written as:

(a * b) * c = a * (b * c) for every a, b, c ∈ S

Distributive Property of the binary operations:

a * (b ⊙ c) = (a * b) ⊙ (a * c)

(b ⊙ c) * a = (b * a) ⊙ (c * a)for all a, b, c ∈ S

The identity element:

a * e = a = e * a

Which holds true when * is a binary operation for the set S

Inverse element:

a * b = e = b * a

Tips to prepare for Class 12 Maths Exam using RS Aggarwal Solutions

The RS Aggarwal solutions for Class 12 helps the student to prepare better for their examinations and also clear any doubts they might have regarding their NCERT textbook topics. If the students feel that their answers might be wrong, these solutions provided by Vedantu for all chapters of RS Aggarwal help the students to analyse their answers step-by-step and therefore figure out where they made the mistake. RS Aggarwal also offers the students a deeper knowledge of the questions as they have more details about the topic than given in NCERT.  

Benefits of using Vedantu

Vedantu is one of India’s leading digital learning platforms which provides its users and all students with free-of-cost study materials and other lectures and online classes. Vedantu has downloadable free PDFs of all chapters and other materials that help students to study better. The Vedantu website and the Vedantu app have revision notes, solutions, sample papers, and NCERT textbook copies for classes from 1 to 12. The solutions and revision notes at Vedantu are put together by subject experts and teachers who want to make it easier for students to prepare for their exams and at the same time understand the concepts well. 

FAQs on RS Aggarwal Class 12 Solutions Chapter 3 - Binary Operations

1. How many questions are there in Chapter 3 of Class 12 RS Aggarwal book?

Chapter 3 of class 12 from RS Aggarwal consists of a total of 14 comprehensive questions divided between two exercises, 3A and 3B. Both the exercises cover a variety of questions that cover a vast range of concepts to be applied by students. The first exercise 3A eases students into the chapter and contains questions regarding the binary operations and their properties. The second exercise requires students to identify commutativity, associativity, and distributivity of the binary operations. The last few questions work on making the students identify the element and the invertible element for given operations in a variety of sets. 

2. Where can I download Class 12 RS Aggarwal Solutions for Chapter 3 Binary Operations?

Students who wish to download Class 12 Mathematics RS Aggarwal Solutions can access the Vedantu website or the app for the same. Downloading the solutions from the Vedantu website gives the students various benefits like free materials which they can view from any divide online or offline. Vedantu offers better study materials than any other online digital learning platform as their solutions are made by subject experts. All 31 chapters solutions are available on the Vedantu website for all answers and all exercises. Other study materials like revision notes and NCERT solutions are also available on the website.  

3. What are the benefits of using RS Aggarwal Solutions for Class 12 Mathematics?

The Vedantu solutions for Class 12 RS Aggarwal have several benefits for the students who wish to prepare and score well in their board exams. These solutions are beneficial for the students as they are prepared in a very easy to understand language for the students so that they can clear their doubts using them. The solutions are laid out in a step by step method so that it is easy to follow and also allows students to point out where they went wrong. The solutions are also free of cost at the Vedantu website and downloadable which allows students to use them at their convenience online or offline on any device. 

4. Why should one refer to Vedantu?

All the reading materials at Vedantu are curated by subject-matter experts who have years of experience in the respective field. The content is well-researched and compiled into an easily readable format for the benefit of students. Students can refer to these resources with ease and learn things at their own pace. Most importantly all the content on Vedantu is provided for free and it can be easily downloaded into PDF from both the website and mobile application of Vedantu. 

5. How can I download reading material from Vedantu?

Accessing material from Vedantu is extremely easy and student-friendly. Students have to simply visit the website of  Vedantu and create an account. Once you have created the account you can simply explore the subjects and chapters that you are looking for. Click on the download button available on the website on Vedantu to download the reading material in PDF format. You can also access all the resources by downloading the Vedantu app from the play store.