Example 37 - Chapter 1 Class 12 Relation and Functions

Last updated at May 29, 2018 by Teachoo

Example 37 - Show a * b = a + 2b is not associative - Class 12 - Examples

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Example 37 Show that ∗ : R × R → R defined by a ∗ b = a + 2b is not associative. * is associative if (a * b) * c = a * (b * c) Since (a * b) * c ≠ a * (b * c) * is not an associative binary operation

Whether binary commutative/associative or not

Example 37 You are here

Binary operations: Identity element →

Chapter 1 Class 12 Relation and Functions

Concept wise

Relations - Definition
Empty and Universal Relation
To prove relation reflexive, transitive, symmetric and equivalent
Finding number of relations
Function - Definition
To prove one-one & onto (injective, surjective, bijective)
Composite functions
Composite functions and one-one onto
Finding Inverse
Inverse of function: Proof questions
Binary Operations - Definition
Whether binary commutative/associative or not
Binary operations: Identity element
Binary operations: Inverse

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.