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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}), (R={(1,1),(2,2),(3,2),(1,3),(3,3)}). Choose the correct statement.Class 12Relations and FunctionsReflexive relationLevel 8EasyMathematicsIf (A={1,2,3}), which ordered pairs must be present in a relation on (A) for it to be reflexive?Class 12Relations and FunctionsReflexive relationLevel 8EasyMathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,3),(3,1)}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7EasyMathematicsIf (A) has 4 elements, what is the minimum number of pairs in a reflexive relation on (A)?Class 12Relations and FunctionsReflexive relationLevel 7EasyMathematicsIf (x,y) belongs to the inverse relation R^-1, which statement follows directly about R?Class 12Relations and FunctionsTypes of relationsLevel 5ExpertMathematicsIf R is the empty relation on a non-empty set A, what is R∘R?Class 12Relations and FunctionsTypes of relationsLevel 4ExpertMathematicsWhich relation on A={1,2,3} is transitive but not symmetric?Class 12Relations and FunctionsTypes of relationsLevel 4ExpertMathematicsLet |A|=5. A relation R on A is reflexive and symmetric and is required to contain (1,2). How many such relations are possible?Class 12Relations and FunctionsTypes of relationsLevel 4ExpertMathematicsIf (R) is transitive and contains ((1,2),(2,3),(3,4)), which pair must be present?Class 12Relations and FunctionsTypes of relationsLevel 6MediumMathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3),(3,3)}). Is (R) transitive?Class 12Relations and FunctionsTypes of relationsLevel 6MediumMathematicsIf A has 4 elements, how many irreflexive relations are possible on A?Class 12Relations and FunctionsTypes of relationsLevel 5MediumMathematicsIf (R) is an equivalence relation and ((2,5)\in R), which pair must be in (R)?Class 12Relations and FunctionsTypes of relationsLevel 5MediumMathematicsIf A has 3 elements, how many irreflexive relations can be defined on A?Class 12Relations and FunctionsTypes of relationsLevel 4MediumMathematicsOn A={1,2,3}, what is the smallest addition to R={(1,2),(2,3)} that makes R transitive?Class 12Relations and FunctionsTypes of relationsLevel 4MediumMathematicsIf a relation (R) contains ((2,3)) and symmetry is required, which pair must be present?Class 12Relations and FunctionsTypes of relationsLevel 4MediumMathematicsOn (A={1,2,3}), which pair must be added to make (R={(1,2),(2,3)}) transitive?Class 12Relations and FunctionsTypes of relationsLevel 6EasyMathematicsOn (A={1,2,3}), which pair must be added to make (R={(1,2),(2,3)}) symmetric?Class 12Relations and FunctionsTypes of relationsLevel 6EasyMathematicsIs (R={(1,1),(2,2),(3,3),(1,2)}) a partial order relation on (A={1,2,3})?Class 12Relations and FunctionsTypes of relationsLevel 6EasyMathematicsOn (A={1,2,3}), what equivalence classes are formed by (R={(1,1),(2,2),(3,3),(1,2),(2,1)})?Class 12Relations and FunctionsTypes of relationsLevel 6EasyMathematicsWhy is (R={(1,2),(2,1)}) not transitive on (A={1,2})?Class 12Relations and FunctionsTypes of relationsLevel 6Easy