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Not Antisymmetric

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsA relation (aRb) holds if (|a|\le |b|). On real numbers, what type of relation is this?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) antisymmetric?Class 12Relations and FunctionsTypes of relationsMedium MathematicsIs the universal relation on (A={1,2}) antisymmetric?Class 12Relations and FunctionsTypes of relationsEasy MathematicsWhy is (R={(1,2),(2,1)}) not antisymmetric on (A={1,2})?Class 12Relations and FunctionsTypes of relationsEasy MathematicsIf (A) has (4) elements, how many relations are reflexive and symmetric but not antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3),(3,1)}) on (A={1,2,3}), which property definitely fails?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) on (A={1,2,3}), why is (R) not a partial order relation?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) on (A={1,2,3}), why is (R) not antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsMedium