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Antisymmetric

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

MathematicsOn a set A with four elements, how many relations are both reflexive and antisymmetric?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsIf a relation on a 3-element set is both reflexive and antisymmetric, how many such relations are possible?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}), which statement is correct?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsWhich relation is reflexive, antisymmetric and transitive?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIs the identity relation antisymmetric?Class 12Relations and FunctionsTypes of relationsLevel 6Easy MathematicsWhich property replaces symmetry in a partial order relation?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsWhat is the greatest possible number of pairs in a relation on A={1,2,3,4} that is both symmetric and antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIf (A) has (5) elements, how many antisymmetric relations can be formed on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3}), how many relations are neither symmetric nor antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsIf (A) has (3) elements, how many antisymmetric relations can be formed on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsIf (A) has (4) elements, how many antisymmetric relations can be formed on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(1,3)}). Is this relation antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf a relation is both symmetric and antisymmetric, what is true about its off-diagonal pairs?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsFor the relation R={(1,2),(2,1),(1,1),(2,2)} on A={1,2,3}, which property does R satisfy?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium