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Transitive Relations(Class 11 Math) Definition, Properties, Solved Examples, FAQs

September 9, 2025February 8, 2025 by Neeraj Anand, Param Anand

Transitive Relation is one of the necessary conditions for equivalence relation, as for any relation to be that needs to to Transitive at first. In Transitive Relation, if element A is related to element B and element B is related to element C, then there must also be a relationship between element A and element C, following the same rule or relation. In other words, if A relates to B and B relates to C, then A must relate to C.

Transitive Relation is one of the necessary conditions for equivalence relation, as for any relation to be that needs to …

Antisymmetric Relation(Class 11 Math)-Definition, Formula, Types, Solved Examples, FAQs

September 27, 2025February 8, 2025 by Neeraj Anand, Param Anand

Antisymmetric Relation is a type of binary relation on a set where any two distinct elements related to each other in one direction cannot be related in the opposite direction. For example, consider the relation "less than or equal to" (≤) on the set of integers. This relation is antisymmetric because if a ≤ b and b ≤ a, then a must be equal to b. This article deals with Antisymmetric Relation including their definition, examples, as well as properties.

Antisymmetric Relation is a type of binary relation on a set where any two distinct elements related to each other …

Symmetric Relations-Definition, Formula, Types, Solved Examples | Class 11 Math Notes Study Material Download Free PDF

September 9, 2025February 7, 2025 by Neeraj Anand, Param Anand

Symmetric relation is a type binary relation in discrete Mathematics defined on sets. Which satisfies that if aRb exists then bRa also exists for all pairs of a, b that belong to set S. which means that if (a, b) belongs to R then (b, a) Also belongs to relation R.

Symmetric relation is a type binary relation in discrete Mathematics defined on sets. Which satisfies that if aRb exists then …

Reflexive Relations-Definition, Formula, Types, Examples | Class 11 Math Notes Study Material Download Free PDF

September 9, 2025February 7, 2025 by Neeraj Anand, Param Anand

Reflexive Relation is a mathematical or set-theoretical relation in which every element is related to itself, meaning that for every element 'x' in the set, the pair (x, x) is a part of the relation. Other than Reflexive, there are many types of relations such as Symmetric, Transitive, Identity, etc. In maths, relation is a subset of the cartesian product of a set with another set where some well-defined rule relates the elements of two sets with each other.

Reflexive Relation is a mathematical or set-theoretical relation in which every element is related to itself, meaning that for every …

Relations-Types, Definition, Examples & Representation | Class 11 Math Notes Study Material Download Free PDF

September 9, 2025February 7, 2025 by Neeraj Anand, Param Anand

Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three are interlinked topics. Sets denote the collection of ordered elements whereas relations and functions define the operations performed on sets.

Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three …

Relations-Types, Definition, Examples & Representation | Class 11 Math Notes Study Material Download Free PDF

September 9, 2025February 7, 2025 by Neeraj Anand, Param Anand

Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three are interlinked topics. Sets denote the collection of ordered elements whereas relations and functions define the operations performed on sets.

Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three …

Relations-Types, Definition, Examples & Representation | Class 11 Math Notes Study Material Download Free PDF

September 9, 2025February 7, 2025 by Neeraj Anand, Param Anand

Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three are interlinked topics. Sets denote the collection of ordered elements whereas relations and functions define the operations performed on sets.

Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three …

Relations-Types, Definition, Examples & Representation | Class 11 Math Notes Study Material Download Free PDF

September 9, 2025February 7, 2025 by Neeraj Anand, Param Anand

Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three are interlinked topics. Sets denote the collection of ordered elements whereas relations and functions define the operations performed on sets.

Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three …

Relations-Types, Definition, Examples & Representation | Class 11 Math Notes Study Material Download Free PDF

September 9, 2025February 7, 2025 by Neeraj Anand, Param Anand

Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three are interlinked topics. Sets denote the collection of ordered elements whereas relations and functions define the operations performed on sets.

Relations and its types concepts are one of the important topics of set theory. Sets, relations and functions all three …

Cartesian Product & Ordered Pairs of Sets-Properties, FAQs & Solved Problems | Class 11 Math Notes Study Material Download Free PDF

September 9, 2025February 7, 2025 by Neeraj Anand, Param Anand

Product mathematically signifies the result obtained when two or more values are multiplied together. For example, 45 is the product of 9 and 5. One must be familiar with the basic operations on sets like Union and Intersection, which are performed on 2 or more sets.

Product mathematically signifies the result obtained when two or more values are multiplied together. For example, 45 is the product …

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