RS Aggarwal Class 12 Solutions Chapter 3

RS Aggarwal class 12 Solutions Chapter 3 Binary Operations covers the following topics:

In the two exercises 3A and 3B of RS Aggarwal class 12 Solutions Chapter 3, there are a total of 14 questions that cover each topic in the course outline in depth. The questions range from ones with very short answers to ones where you have to show that a certain binary operation has a certain property or not. You will also get to try harder problems where you have to define operations for functions that have already been given.

• Introduction to Binary Operations
• Commutative Property of Binary Operations
• Associative Property of Binary Operations
• Distributive Property of Binary Operations
• Identity Element Inverse Element

Summary of RS Aggarwal class 12 Solutions Chapter 3 : Binary Operations

In a binary operation, the cartesian product of two sets is the same as the given set.

A binary operation

1. has commutative property if a * b = b * a for every a, b ∈ S; 
2. has associative property if (a * b)* c = a*(b*c) for every a, b, c ∈ S;
3. has distributive property over binary operation if a*(b ⊙ c)=(a*b) ⊙ (a*c) and (b ⊙ c)*a=(b*a) ⊙ (c*a)for all a, b, c ∈ S.
4. The identity element: a * e = a = e * a When * is a binary operation for the set S, which statement is true?
5. Inverse element: a * b = e = b * a 

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