+2 maths
Plus Two Mathematics – Relation and Function Simple Teaching Notes with Easy Examples 1. Relation Definition A relation from set to set is a collection of ordered pairs. Example Let A relation: R=\{(1,4),(2,5)\} Here, 1 is related to 4 2 is related to 5 2. Types of Relations (a) Empty Relation No element is related. R=\phi Example A=\{1,2\} (b) Universal Relation Every element is related to every element. Example A=\{1,2\} 3. Reflexive Relation A relation is reflexive if every element is related to itself. (a,a)\in R Example A=\{1,2,3\} ✔ Reflexive 4. Symmetric Relation If , then Example R=\{(1,2),(2,1)\} ✔ Symmetric 5. Transitive Relation If and , then Example R=\{(1,2),(2,3),(1,3)\} ✔ Transitive 6. Equivalence Relation A relation which is: Reflexive Symmetric Transitive is called an equivalence relation. Example R=\{(1,1),(2,2),(1,2),(2,1)\} ✔ Equivalence Relation 7. Function A function is ...