Relation and Function Class 12 Notes
Relations and Functions class 12 Notes Mathematics in PDF are available for free download in NCERTBooks.Guru. The best app for CBSE students now provides Relations and Functions class 12 Notes latest chapter wise notes for quick preparation of CBSE board exams and school-based annual examinations. Class 12 Mathematics notes on chapter 1 Relations and Functions are also available for download in CBSE Guide website.
Relations and Functions Class 12 Notes Mathematics
Download CBSE class 12th revision notes for chapter 1 Relations and Functions in PDF format for free. Download revision notes for Relations and Functions class 12 Notes and score high in exams. These are the Relations and Functions class 12 Notes prepared by team of expert teachers. The revision notes help you revise the whole chapter 1 in minutes. Revision notes in exam days is one of the best tips recommended by teachers during exam days.
CBSE Class 12 Mathematics Chapter 1 Relations and Functions
TYPES OF RELATIONS:
Empty Relation: It is the relation R in X given by R =
Universal Relation: It is the relation R in X given by R =
Reflexive Relation: A relation R in a set A is called reflexive if (a, a) ∈ R for every a ∈ A.
Symmetric Relation: A relation R in a set A is called symmetric if (, ) ∈ R implies that (, ) ∈ R, for all, ∈
Transitive Relation: A relation R in a set A is called transitive if (, ) ∈ R, and (, ) ∈ R together imply that all , , ∈ A.
EQUIVALENCE RELATION: A relation R in a set A is said to be an equivalence relation if R is reflexive, symmetric and transitive.
Equivalence Classes: Every arbitrary equivalence relation R in a set X divides X into mutually disjoint subsets (Ai) called partitions or subdivisions of X satisfying the following conditions:
No comments:
Post a Comment