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Class 12 · Mathematics · Easy
→Which three properties does the identity relation always have?
Class 12 · Mathematics · Easy
→Which other property does the empty relation have on a non-empty set?
Class 12 · Mathematics · Easy
→Which property does the empty relation surely have on a non-empty set?
Class 12 · Mathematics · Easy
→If (A) has (6) elements, how many pairs are in the universal relation?
Class 12 · Mathematics · Easy
→If (A) has (6) elements, how many pairs are in the identity relation?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), how many pairs are in (R=A\times A)?
Class 12 · Mathematics · Easy
→If a relation is reflexive and transitive but not antisymmetric, is it a partial order relation?
Class 12 · Mathematics · Easy
→If a relation is reflexive and symmetric but not transitive, is it an equivalence relation?
Class 12 · Mathematics · Easy
→Why is (R={(1,2),(2,3),(3,1)}) not transitive on (A={1,2,3})?
Class 12 · Mathematics · Easy
→Why is (R={(1,2),(2,1),(2,3)}) not symmetric on (A={1,2,3})?
Class 12 · Mathematics · Easy
→On A={1,2}, which property is satisfied by R={(1,1),(1,2),(2,1)}?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), which property does (R={(1,3),(2,3)}) have?
Class 12 · Mathematics · Easy
→On (A={1,2,3,4}), which property does (R={(1,2),(2,4),(1,4)}) have?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), which property does (R={(1,2),(2,1),(3,1),(1,3)}) have?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), which property does (R={(1,1),(2,2),(3,3),(2,1)}) have?
Class 12 · Mathematics · Easy
→Which property is not required for a partial order relation and is wrongly added?
Class 12 · Mathematics · Easy
→Which property is not required for an equivalence relation and is wrongly added?
Class 12 · Mathematics · Easy
→If (R) is transitive and ((3,4)\in R), ((4,6)\in R), which pair is necessary?
Class 12 · Mathematics · Easy
→If (R) is symmetric and ((5,8)\in R), which pair must also be present?
Class 12 · Mathematics · Easy
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