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Question 23 - Binary operations: Inverse - Chapter 1 Class 12 Relation and Functions
Last updated at April 16, 2024 by Teachoo
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
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Binary operations: Inverse
Transcript
Question 23 Show that a is not the inverse of a N for the addition operation + on N and 1 a is the not inverse of a N for the multiplication operation on N. Addition a N Hence, a is a natural number (i.e. positive number 1, 2, 3, ) So, a will be a negative Hence a is not a natural number a N So, a not is the inverse of a for addition on N. Multiplication a N Hence, a is a natural number (i.e. positive number 1, 2, 3, ) But , 1 is a fraction Hence 1 is not a natural number 1 N So, 1 is not the inverse of a for multiplication on N.
