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RELATED QUESTIONS

Antisymmetric Relation

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

MathematicsWhich statement is true for a symmetric relation but generally not true for an antisymmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsHow many relations on a three-element set are both reflexive and antisymmetric?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsIf relation (R) is antisymmetric and (a\ne b), which situation is impossible?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsOn (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2)}) antisymmetric?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIn an antisymmetric relation, if both ((a,b)) and ((b,a)) are present, what conclusion follows?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf A has 3 elements, how many antisymmetric relations are possible on A?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsOn A={1,2}, which property is satisfied by R={(1,1),(1,2),(2,1)}?Class 12Relations and FunctionsTypes of relationsLevel 6Easy MathematicsIs (R={(1,1),(2,2),(1,2)}) antisymmetric on (A={1,2})?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsIf (R) is antisymmetric and (a\ne b), what is correct about ((a,b)) and ((b,a))?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsIn an antisymmetric relation, if (a\ne b), what cannot happen?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}) on (A={1,2,3}), which property definitely fails?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(1,3)}) on (A={1,2,3}), is (R) antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2)}) on (A={1,2,3}), is (R) antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium MathematicsIf in a relation, ((a,b)\in R) and ((b,a)\in R) always imply (a=b), which property is this?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium MathematicsFor R={(1,1),(2,2),(3,3),(2,3),(3,2)} on A={1,2,3}, which property does R fail to satisfy?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium