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Post a LessonAnswered on 25/12/2021 Learn CBSE - Class 12/Mathematics/Unit I: Relations and Functions
Shikha Yadav
Success in CBSE / ICSE Class 12 and 10 Mathematics Boards
Answered on 13/04/2024 Learn CBSE - Class 12/Mathematics/Unit I: Relations and Functions
Nazia Khanum
A relation R:A→AR:A→A is said to be reflexive if, for every element aa in the set AA (where AA is a non-empty set), the ordered pair (a,a)(a,a) belongs to the relation RR. In simpler terms, reflexive relations include every element paired with itself in the set.
Answered on 13/04/2024 Learn CBSE - Class 12/Mathematics/Unit I: Relations and Functions
Nazia Khanum
A relation R:A→AR:A→A is said to be symmetric if for every pair of elements a,ba,b in set AA, whenever (a,b)(a,b) is in RR, then (b,a)(b,a) must also be in RR. In other words, if aa is related to bb, then bb must be related to aa as well, for all a,ba,b in AA.
read lessAnswered on 23/12/2022 Learn CBSE - Class 12/Mathematics/Unit I: Relations and Functions
Sonika Annad Academy
Answered on 21/01/2023 Learn CBSE - Class 12/Mathematics/Unit I: Relations and Functions
Arsh Jung
The relation which equals the product of the sets on which it is defined is called trivial relation.
1) A relation R in a set A is called empty relation, if no element of A is related to any element of A, i.e., R = CAXA.
2) A relation R in a set A is called universal relation, if each element of A
is related to every element of A, i.e., R = A x A.
So both relations are trivial relation as they are equal to product of A on which they are defined.
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