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Question 16 - Binary Operations - Definition - Chapter 1 Class 12 Relation and Functions
Last updated at Dec. 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
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Binary Operations - Definition
- Whether binary commutative/associative or not
- Binary operations: Identity element
- Binary operations: Inverse
Transcript
Question 16 Show that the : R R R given by (a, b) max {a, b} and the : R R R given by (a, b) min {a, b} are binary operations. For max : R R R (a, b) max {a, b} Here, a, b are real numbers & Maximum of 2 real numbers will also be a real number Hence, is a binary operation. For min : R R R (a, b) min{a, b} Here, a, b are real numbers & minimum of 2 real numbers will also be a real number Hence, is a binary operation.
