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Relation Properties

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

MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a\le b). Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsWhich option gives a relation that is not transitive?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsWhich option gives a relation that is not reflexive?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsWhich option is not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsWhich option has all three properties: reflexive, symmetric, and transitive?Class 12Relations and FunctionsEquivalence relationLevel 17Medium MathematicsWhich option gives a transitive relation on (A={1,2,3})?Class 12Relations and FunctionsEquivalence relationLevel 17Medium MathematicsOn A={1,2,3,4}, R={(a,b): |a-b|=1}. What type is R?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsWhich statement gives the most accurate definition of a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsIf a relation is reflexive, will it always be symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Easy MathematicsOn the real numbers, define aRb if and only if |a|=|b|. What is the equivalence class of -3?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsIf R and S are transitive relations on the same set, which statement about their union R∪S is always valid?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3)}). Which property fails?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsWhat can be said about the intersection of two transitive relations?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsIf relation (R) is antisymmetric and (a\ne b), which situation is impossible?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsOn a family of sets, (A R B) if (A\subseteq B). Why is this a partial order?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1)}). Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}). Which property is immediately clear?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf relation (R) is symmetric and ((4,5)\in R), which conclusion is correct?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) on (A={1,2,3}), what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsWhich type of relation has reflexivity, antisymmetry and transitivity together?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium