0For JEE Main, understanding Relations involves grasping concepts like set theory, different types of relations (reflexive, symmetric, transitive, equivalence), and their properties, along with domain, range, and inverse relations. Revision notes should cover these areas, emphasizing the connection between relations and functions, and include examples and practice problems
- Types of Relations:
- Void/Empty Relation: No elements are related According to BYJU'S.
- Universal Relation: Every element is related to every other element According to BYJU'S.
- Identity Relation: Every element is related to itself According to ALLEN Online.
- Reflexive Relation: (a, a) ∈ R for all a in A.
- Symmetric Relation: If (a, b) ∈ R, then (b, a) ∈ R.
- Transitive Relation: If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R.
- Equivalence Relation: Reflexive, symmetric, and transitive.
- Inverse Relation: {(b, a) | (a, b) ∈ R}.
- Void/Empty Relation: No elements are related According to BYJU'S.
