class_12_Relations_and_Functions-part2.pptx
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The document discusses various types of relations and functions, including reflexive, symmetric, transitive, and equivalence relations, along with specific examples. It also covers different types of functions such as one-one (injective), onto (surjective), and bijective, as well as invertible functions and their inverses. Additionally, it includes practice questions and references to textbooks for further study.
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class_12_Relations_and_Functions-part2.pptx
- 1. Relations & Functions Content Types Of Relations (a) Reflexive (b) Symmetric (c) Transitive Equivalence Relations Practice Questions Types of Functions One-one(Injective) Onto ( Surjective) One-One Onto ( Bijective) Invertible Functions and Inverse of Function
- 6. Equivalence Relation A relation is called Equivalence Relation If it is Reflexive ,Symmetric & Transitive . Example On the set of all straight lines in a plane the relation of parallelism is an Equivalence Relation , Defined as R = { ( a, b ) : a is parallel to b , a , b are straight lines in a plane } Verify it
- 9. Functions
- 10. Examples
- 11. Functions : Onto
- 12. Examples
- 13. Invertible Functions / Inverse Functions
- 14. Invertible Functions / Inverse Functions
- 15. Example
- 16. Reference Books 1- NCERT Text Book/Exercises 2- Dhanpat Rai Publications (By R D Sharma) 3-NDA Question Bank .