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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),(3,3)}). Which pair is most necessary in checking transitivity?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn real numbers, the relation (R={(a,b):a\le b}) is given. Is it transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn real numbers, the relation (R={(a,b):a<b}) is given. Choose the correct statement about this relation.Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn the set of integers, the relation (R={(a,b):a-b\text{ is even}}) is given. Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsConsider the relation (R={(a,b):a) divides (b}) on the set of natural numbers. What type of relation is it?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,1),(2,2),(3,3)}). Why is (R) not transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}) is given. Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsFor (R={(1,2),(2,3),(1,3),(3,1)}), which pair is definitely needed to make it transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsWhich option gives a relation that is definitely transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn (A={1,2,3,4}), (R={(1,3),(3,3),(3,4),(1,4)}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn integers, (aRb) if (a+b) is odd. Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn integers, (aRb) if (a+b) is even. Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn integers, (aRb) if (a \equiv b \pmod{3}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}). Which transitivity chain is correct?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn (A={1,2,3}), (R={(1,1),(1,2),(2,1)}). Why is it not transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn (A={1,2}), (R={(1,2),(2,2)}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn (A={1,2,3}), (R={(1,2)}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsIf (R) and (S) are transitive, what is generally true about (R \cup S)?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsIf (R) and (S) are both transitive relations, which statement about (R \cap S) is correct?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,1),(1,3),(2,1),(3,2)}). Which missing pairs are most clearly needed to make (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Medium