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Class 12 · Mathematics · Medium
→A relation (aRb) holds if (|a|\le |b|). On real numbers, what type of relation is this?
Class 12 · Mathematics · Medium
→A relation (aRb) holds if (a) and (b) have the same square. On real numbers, what type of relation is this?
Class 12 · Mathematics · Medium
→If (R) is an equivalence relation, which property is not required?
Class 12 · Mathematics · Medium
→If (R) is a partial order relation, which property is not required?
Class 12 · Mathematics · Medium
→If (R) is an equivalence relation, by which property is (aRa) true for every element (a)?
Class 12 · Mathematics · Medium
→If (R) is an equivalence relation and (aRb), by which property do we get (bRa)?
Class 12 · Mathematics · Medium
→If (R) is an equivalence relation and (aRb), (bRc), which conclusion is correct?
Class 12 · Mathematics · Medium
→When are the identity relation and universal relation the same?
Class 12 · Mathematics · Medium
→If (A) is a non-empty set, which property does the universal relation definitely satisfy?
Class 12 · Mathematics · Medium
→If (A) has (n) elements and is non-empty, which property does the empty relation satisfy?
Class 12 · Mathematics · Medium
→If (A) has (5) elements, what is the number of relations that are both reflexive and symmetric?
Class 12 · Mathematics · Medium
→If (A) has (5) elements, what is the number of symmetric relations on (A)?
Class 12 · Mathematics · Medium
→If (A) has (5) elements, what is the number of reflexive relations on (A)?
Class 12 · Mathematics · Medium
→If (A) has (5) elements, what is the total number of relations on (A)?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,2),(2,1),(1,1)}). Why is it not transitive?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,2),(2,3),(1,3),(3,3)}). Is (R) transitive?
Class 12 · Mathematics · Medium
→Why is the union of two transitive relations not always transitive?
Class 12 · Mathematics · Medium
→What can be said about the intersection of two transitive relations?
Class 12 · Mathematics · Medium
→If (R) and (S) are symmetric relations, which statement is correct about (R\cap S)?
Class 12 · Mathematics · Medium
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