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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।

MathematicsIf (R) is transitive and ((2,5) \in R), ((5,8) \in R), ((8,10) \in R), which of the following pairs must be in (R)?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsIf relation (R) is transitive and ((4,7) \in R), ((7,9) \in R), which pair must be in (R)?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn (A={1,2,3}), what is the nature of the identity relation (I={(1,1),(2,2),(3,3)})?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn (A={1,2,3}), choose the correct statement about the universal relation (R=A \times A).Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn (A={1,2,3}), what is the nature of the empty relation (R=\varnothing)?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,4),(3,3)}) is given. Which minimum pair must be added to make the relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn A={1,2,3,4}, let R={(1,2),(2,4),(1,4),(3,3)}. Is R transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn integers, (aRb) if (a-b) is odd. Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn integers, define (aRb) if (a-b) is even. Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn real numbers, define (aRb) if (a<b). Why is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn real numbers, define (aRb) if (a \le b). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn the set of natural numbers, define (aRb) if (a) divides (b). What kind of relation is this?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,3)}). Which pair must be added to make (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsThe relation (R={(1,1),(1,2),(2,2)}) is given on (A={1,2}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn A={1,2,3}, let R={(1,2),(2,3)}. Why is R not transitive?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3)}) is given. What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsA relation (R) on a set (A) is called transitive when which condition is true for all (a,b,c \in A)?Class 12Relations and FunctionsTransitive relationLevel 13MediumMathematicsWhat is the first useful thing to check while testing transitivity?Class 12Relations and FunctionsTransitive relationLevel 15EasyMathematicsIn which relation does the transitivity condition directly appear satisfied?Class 12Relations and FunctionsTransitive relationLevel 15EasyMathematicsIf a relation has only one pair ((2,3)), why is it transitive?Class 12Relations and FunctionsTransitive relationLevel 15Easy