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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 (R) and (S) are symmetric relations, which statement is correct about (R\cap S)?
Class 12 · Mathematics · Medium
→Which relation is both symmetric and antisymmetric?
Class 12 · Mathematics · Medium
→If relation (R) is antisymmetric and (a\ne b), which situation is impossible?
Class 12 · Mathematics · Medium
→If relation (R) is symmetric and ((a,b)\in R), which statement is definitely true?
Class 12 · Mathematics · Medium
→If (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}), which statement is correct?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) a partial order relation?
Class 12 · Mathematics · Medium
→If a relation is both symmetric and antisymmetric, what is true about unequal elements?
Class 12 · Mathematics · Medium
→Which relation can be both symmetric and antisymmetric?
Class 12 · Mathematics · Medium
→Which statement about the empty relation on a set is correct?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,2),(2,1),(1,1),(2,2)}). It is symmetric and transitive, but why is it not reflexive?
Class 12 · Mathematics · Medium
→If (R) is symmetric and transitive, must (R) be reflexive?
Class 12 · Mathematics · Medium
→If (R) is reflexive and symmetric, must (R) be an equivalence relation?
Class 12 · Mathematics · Medium
→If (R) is symmetric and ((1,2),(2,3)\in R), must ((1,3)\in R)?
Class 12 · Mathematics · Medium
→If (A) has (n) elements, what is the number of relations that are both reflexive and symmetric?
Class 12 · Mathematics · Medium
→For a four-element set A, how many relations are symmetric but not reflexive?
Class 12 · Mathematics · Medium
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