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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}), the relation (R={(a,b):a\mid b}) is defined. Choose the correct option about (R).Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3),(2,2)}). Which statement is correct?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn the set (A={1,2,3,4}), the relation (R={(a,b):a\le b}) is given. Why is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsIf (R) is transitive and contains ((x,x)) and ((x,y)), which conclusion is correct?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,1),(1,1),(2,2),(2,4),(1,4)}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsWhat is the most common difficult mistake while checking a transitive relation?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R={(1,2)}) and (S={(2,3)}), both are transitive individually. What about (R\cup S)?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsWhich relation on A={1,2,3} is transitive but not reflexive?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(2,4),(1,4)}). Choose the correct statement about (R).Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsWhat is the best method to check a transitive relation in a medium-level exam question?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsIn a relation like the previous type, what should be the conclusion if all required pairs are present?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsIf (R={(1,1),(1,2),(2,3),(1,3),(3,3)}), is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsIf (R={(a,b):a,b \in \mathbb{R}\text{ and }a>b}), what type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsIf (R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}), what type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsA relation (R) on a set (A) is transitive. If ((2,5)), ((5,7)), and ((7,9)) are all in (R), which pair must definitely be in (R)?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsOn A = {1, 2, 3}, let R = {(1,2), (2,2), (2,3), (1,3)}. Is R transitive?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsIf (R) is transitive and ((x,y) \in R), ((y,z) \in R), what is the correct conclusion?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsIf (R={(1,2),(2,3),(1,3),(3,3)}), which statement is correct?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsOn real numbers, is the relation (aRb) if (a\le b) transitive?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsOn natural numbers, the relation (aRb) if (a) divides (b) is what type of relation?Class 12Relations and FunctionsTransitive relationLevel 15Medium