Cartesian Product & Ordered Pairs of Sets-Properties & Examples | Class 11 Math Notes Study Material Download Free PDF

In set theory, the cartesian product of two sets is the product of two non-empty sets in an ordered way. ...
Read moreCartesian Product & Ordered Pairs of Sets-Properties, FAQs & Solved Problems | Class 11 Math Notes Study Material Download Free PDF

Product mathematically signifies the result obtained when two or more values are multiplied together. For example, 45 is the product ...
Read moreRelations-Types, Definition, Examples & Representation | Class 11 Math Notes Study Material Download Free PDF

Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three ...
Read moreReflexive Relations-Definition, Formula, Types, Examples | Class 11 Math Notes Study Material Download Free PDF

Reflexive Relation is a mathematical or set-theoretical relation in which every element is related to itself, meaning that for every ...
Read moreSymmetric Relations-Definition, Formula, Types, Solved Examples | Class 11 Math Notes Study Material Download Free PDF

Symmetric relation is a type binary relation in discrete Mathematics defined on sets. Which satisfies that if aRb exists then ...
Read moreAntisymmetric Relation(Class 11 Math)-Definition, Formula, Types, Solved Examples, FAQs

Antisymmetric Relation is a type of binary relation on a set where any two distinct elements related to each other ...
Read moreTransitive Relations(Class 11 Math) Definition, Properties, Solved Examples, FAQs

Transitive Relation is one of the necessary conditions for equivalence relation, as for any relation to be that needs to ...
Read moreEquivalence Relations(Class 11 Math) Definition, Proof, Properties, Solved Examples, FAQs

Equivalence Relation is a type of relation that satisfies three fundamental properties: reflexivity, symmetry, and transitivity. These properties ensure that ...
Read morePartial Order Relation on a Set(Class 11 Math) Definition, Proof, Properties, Solved Examples, FAQs

A relation is a subset of the cartesian product of a set with another set. A relation contains ordered pairs ...
Read moreInverse Relation Theorem(Class 11 Math)-Graph, Properties, Solved Examples, FAQs

Inverse Relation: An inverse relation is the opposite of a given relation obtained by interchanging or swapping the elements of ...
Read moreComposition of Relations(Class 11 Math) Definition, Types, Properties, Solved Examples, FAQs

Composition of Relations is a mathematical concept that links elements across different sets by combining multiple relations. This powerful tool ...
Read moreWhat is a Function | Definition, Representation, Types, Solved Examples, FAQs

What is a Function ? A function is a special relation or method connecting each member of set A to ...
Read moreDomain and Range of a Different Types of Functions | Solved Examples, FAQs

In mathematics, a function represents a relationship between a set of inputs and their corresponding outputs. Functions are fundamental in ...
Read moreTypes of Functions | One-One(Injective), Onto(Surjective), Many One, Into Functions with Examples, FAQs

Functions are defined as the relations which give a particular output for a particular input value. A function has a ...
Read moreOne-to-One Functions(Injective): Definition, Graph, Properties, Solved Examples, FAQs

One to One Function or One-One Function is one of the types of functions defined over domain and codomain and ...
Read moreOnto Functions(Surjective Functions)-Definition, Graph, Properties, Solved Examples, FAQs

Onto Function is one of the many types of functions defined based on the relationship between its domain and codomain. ...
Read moreBijective Function(Class 11 Math)-Definition, Properties, Solved Examples, FAQs

Bijective Function is a special type of function that represents the relationship between two sets in such a way that ...
Read moreMany One Functions(Class 11 Math)-Definition, Properties, Solved Examples, Graphs, FAQs

Many-to-One or Many One Function is one of the various types of functions that represent relationships between different entities. As ...
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