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Transitive Relation

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}), (R={(1,2),(2,4),(1,4)}). Is (R) transitive or not?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsWhy is the universal relation (A\times A) on a set (A) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsIs the empty relation (\varnothing) on a set (A) transitive or not?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3)}) is given. Choose the correct statement about (R).Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn real numbers, (R={(a,b):a<b}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn natural numbers, relation (R) is defined by (aRb) if (a\le b). What is (R)?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3}), (R={(1,2),(2,3)}). Why is (R) not transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3)}) is given. Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsWhich is the correct definition of a transitive relation?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsWhich statement gives the correct definition of a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsWhich of the following relations on (A={1,2,3}) is symmetric but not transitive?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsWhich statement gives the correct definition of a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsFor A={0,1,2,3,4,5} and R={(a,b): a²≡b² (mod 6)}, how many equivalence classes does R have?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsIf (R) is transitive on a set, choose the correct statement about (R^{-1}).Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsLet A={1,2,3,4}. Which relation is symmetric and transitive but not reflexive on A?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsIf (R) and (S) are transitive relations, choose the correct statement about (R\cup S).Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn (A={1,2,3}), what must be minimally added to make (R={(1,2),(2,1)}) transitive?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsIf (R) and (S) are transitive relations, choose the correct statement about (R\cap S).Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsIf (R) and (S) are transitive relations, which statement is correct about (R\cup S)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3}), which minimum pair must be added to (R={(1,2),(2,3)}) to make it transitive?Class 12Relations and FunctionsTypes of relationsLevel 5Hard