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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।

MathematicsA relation (R) contains both ((a,b)) and ((b,c)). Which pair is needed to keep (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsWhy is (R={(1,2),(2,2),(2,3)}) on (A={1,2,3}) not transitive?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn (A={1,2,3}), (R={(1,2),(2,2),(2,3),(1,3)}). Is (R) transitive or not?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsIf (R) is transitive and ((1,4) \in R), ((4,6) \in R), which pair must definitely be present?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4)}) is not transitive. Which pair shows the missing requirement?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn a collection of sets, relation (R) is defined by (A,R,B) if (A\subseteq B). What is this relation?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn real numbers, (R={(a,b):a\ge b}). What is correct about (R)?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn real numbers, (R={(a,b):a=b+1}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn (A={1,2,3}), (R={(1,1),(1,2),(2,3)}). Why is (R) not transitive?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn (A={1,2,3}), (R={(1,1),(1,2),(2,2)}). Is (R) transitive or not?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsIf (R) is transitive and ((3,3) \in R), which conclusion must follow?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsIf ((2,5) \in R) and ((5,7) \in R), and (R) is transitive, which pair must be in (R)?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn (A={1,2,3,4}), for (R={(1,2),(2,3),(3,4)}), which pair is clearly required first to make it transitive?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}). Choose the correct statement about (R).Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn integers, (R) is defined by (aRb) if (a \equiv b \pmod{3}). What is (R)?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn natural numbers, (R={(a,b):a\mid b}). What is correct about (R)?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn (A={1,2,3}), (R={(1,2)}). Choose the correct statement about (R).Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn (A={1,2,3}), (R={(1,2),(2,1)}). Why is (R) not transitive?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn integers, relation (R) is defined by (aRb) if (a=b). What type of relation is it?Class 12Relations and FunctionsTransitive relationLevel 13EasyMathematicsOn (A={1,2,3,4}), which pair must be added to make (R={(1,2),(2,4)}) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy