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Reflexive function

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Reflexive function

Posted by Pooja Jaat 4 years, 4 months ago

CBSE > Class 12 > Mathematics

2 answers

Pooja Jaat 4 years, 4 months ago

Thanks

Yogita Ingle 4 years, 4 months ago

Reflexive Relation

A relation in a set A is called reflexive relation if (a,a) ∈ R for every element a ∈ A.
Example:.
Let A = {1, 2, 3, 4,5,6,7,8,9,10} and define R = {(a, b) | a divides b}
We saw that R was reflexive since every number divides itself
Let A = {1, 2, 3, 4,5,6,7,8,9,10} and define R ={(1,1),(2,2),(2,3),(3,2),(4,4)}
We saw that R is not reflexive since every number is not present in R

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