# RD Sharma Solutions For Class 12 Maths Exercise 3.1 Chapter 3 Binary Operations (Updated for 2021-22)

RD Sharma Solutions Class 12 Chapter 3 Exercise 3.1: The third chapter, RD Sharma Solutions Binary Operation is available in PDF format for class 12th. Students who want to perform well in the class 12 exam can use PDF as important study material to enhance their exam preparation. To gain a better understanding of the concepts covered here, students can use RD Sharma Solutions for Class 12 Chapter 3 Exercise 3.1 Binary Operation PDF from the link given here.

## Download RD Sharma Solutions Class 12 Chapter 3 Exercise 3.1 PDF

RD Sharma Solutions Class 12 Chapter 3 Exercise 3.1

Students who cannot solve the exercise problems in Chapter 3 can download the RD Sharma Solutions for Class 12 PDF. These solutions are explained in a simple and precise way according to the understanding ability of the students.

### Access RD Sharma Solutions For Class 12 Maths Chapter 3 – Binary Operations Exercise 3.1

Binary Operations Ex 3.1 Q1(i)

Binary Operations Ex 3.1 Q1(ii)

Binary Operations Ex 3.1 Q1(iii)

Binary Operations Ex 3.1 Q1(iv)

Binary Operations Ex 3.1 Q1(v)

Binary Operations Ex 3.1 Q1(vi)

Binary Operations Ex 3.1 Q1(vii)

Binary Operations Ex 3.1 Q2

Binary Operations Ex 3.1 Q3

Binary Operations Ex 3.1 Q4

Binary Operations Ex 3.1 Q5

Binary Operations Ex 3.1 Q6

Binary Operations Ex 3.1 Q7

Binary Operations Ex 3.1 Q8

Binary Operations Ex 3.1 Q9

Binary Operations Ex 3.1 Q10

## RD Sharma Solutions Class 12 Maths Chapter 3: Important Topics

Let us have a look at some of the important concepts that are discussed in this chapter for the board exam.

• Definition and meaning of binary operations
• Number of binary operations
• Commutativity
• Associativity
• Distributivity
• Identity element
• The inverse of an element
• Composition table
• Multiplication modulo

## Important Questions from RD Sharma Solutions Class 12 Chapter 3 Exercise 3.1

Question :

Determine whether the operation ′O′ on Z defined by aOb=ab for all a,b∈Z is a binary operation or not :

Given that ‘O’ is an operation that is valid in the Integers ‘Z’ and it is defined as given:

⇒aOb=abwhere,a,b∈Z

Since a∈z and b∈Z,

According to the problem it is given that on applying the operation ‘*’ for two given integers it gives Integers as a result of the operation,

⇒aOb∈Z……….(1)

Let us values of a = 2 and b = – 2 on substituting in the R.H.S side we get,

⇒ab=2−2

⇒ab=41​

⇒ab∈/Z……….(2)

From (2), we can see that  ab doesn’t give only Integers as a result. So, this cannot be stated as a binary function.

∴The operation ‘Ο’ does not define a binary function on Z.

We have provided complete details of RD Sharma Solutions Class 12 Chapter 3 Exercise 3.1. If you have any queries related to CBSE Class 12 Exam, feel free to ask us in the comment section below.

## FAQs on RD Sharma Solutions Class 12 Maths Chapter 3 Exercise 3.1

### How many questions are there in RD Sharma Solutions Class 12 Maths Chapter 3 Exercise 3.1?

There are a total of 10 questions in RD Sharma Solutions Class 12 Maths Chapter 3 Exercise 3.1.

### Is RD Sharma Solutions Class 12 Maths Chapter 3 Exercise 3.1 for free?

Yes, You can get RD Sharma Solutions Class 12 Maths Chapter 3 Exercise 3.1 for free.

### Where can I download RD Sharma Solutions Class 12 Maths Chapter 3 Exercise 3.1 free PDF?

You can download RD Sharma Solutions Class 12 Maths Chapter 3 Exercise 3.1 free PDF from the above article.