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Class 12 · Mathematics · Medium
→If A has 3 elements, how many symmetric relations on A are also reflexive?
Class 12 · Mathematics · Medium
→If (R) is a relation on (A) such that ((a,b)\in R\Rightarrow (b,a)\in R), what type of relation is (R)?
Class 12 · Mathematics · Medium
→If (R={(1,1),(2,2),(3,3),(1,3)}) on (A={1,2,3}), which property is definitely absent?
Class 12 · Mathematics · Medium
→If (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}) on (A={1,2,3}), which properties are definite?
Class 12 · Mathematics · Medium
→If (R={(1,1),(2,2),(3,3),(1,2)}), why is (R) not symmetric on (A={1,2,3})?
Class 12 · Mathematics · Medium
→If (R={(1,1),(2,2),(3,3),(1,2),(2,3)}) on (A={1,2,3}), why is (R) not an equivalence relation?
Class 12 · Mathematics · Medium
→If (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,1)}), what type of relation is (R)?
Class 12 · Mathematics · Medium
→If (R) and (S) are both symmetric relations on (A), what is true about (R\cup S)?
Class 12 · Mathematics · Medium
→If (R) is symmetric, which statement about (R^{-1}) is correct?
Class 12 · Mathematics · Medium
→If (R) is a symmetric relation on (A), which statement about domain and range is correct?
Class 12 · Mathematics · Medium
→If (R) is symmetric and transitive but not reflexive, is (R) an equivalence relation?
Class 12 · Mathematics · Medium
→If (A={1,2,3}) and (R={(1,2),(3,3)}), what is the smallest relation needed to make (R) symmetric?
Class 12 · Mathematics · Medium
→On real numbers, (aRb) means (a+b=0). Which property is correct?
Class 12 · Mathematics · Medium
→If (A) has (3) elements, what is the number of relations on (A) that are both reflexive and symmetric?
Class 12 · Mathematics · Medium
→If (A) has (3) elements, what is the number of symmetric relations on (A)?
Class 12 · Mathematics · Easy
→If (R={(1,1),(2,2),(1,2)}), why is it not an equivalence relation?
Class 12 · Mathematics · Easy
→If a relation is reflexive and symmetric but not transitive, will it be an equivalence relation?
Class 12 · Mathematics · Easy
→Which type of relation is reflexive, symmetric and transitive?
Class 12 · Mathematics · Easy
→Is (R={(1,1),(2,2),(1,2)}) symmetric on (A={1,2})?
Class 12 · Mathematics · Easy
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