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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 integers, (aRb) is defined when (a \equiv b \pmod{5}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn (A={1,2,4,8}), (aRb) is defined when (b) is a multiple of (a). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn real numbers, (aRb) is defined when (a-b\ge 0). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(4,4)}). Choose the correct statement about this relation.Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsA relation (R) on a set (A) is transitive. If ((5,7) \in R) and ((7,9) \in R), which conclusion is certain?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn natural numbers, (aRb) is defined when (a+b) is even. Why is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn real numbers, (aRb) is defined when (a<b). Why is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn the set of integers, (aRb) is defined when (a-b) is divisible by (3). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(1,2),(1,3),(2,2),(2,3),(3,3)}) is given. What type of relation is it?Class 12Relations and FunctionsTransitive relationLevel 13ExpertMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,2),(2,3),(1,3),(3,2)}). Why is (R) not transitive?Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn (A={1,2,3,4}), (R={(1,3),(3,3),(3,4),(1,4),(4,4)}). Choose the correct conclusion about (R).Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn real numbers, (aRb) if (a=b) or (a<b). Choose the correct option for (R).Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn real numbers, (aRb) if (a-b) is an integer. Choose the correct option about (R).Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b\text{ is odd}}). Choose the correct conclusion about (R).Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn integers, (aRb) if (a^2=b^2). Choose the correct option for transitivity of (R).Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsIf (R) and (S) are transitive, which statement about (R\cup S) is correct?Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(4,4)}). Which statement is correct?Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn real numbers, (aRb) if (a<b). Choose the correct reason for transitivity of (R).Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|=1}). Which option is correct for (R)?Class 12Relations and FunctionsTransitive relationLevel 15HardMathematicsOn real numbers, relation (R) is defined by (aRb) if (a-b) is rational. Choose the correct statement about transitivity of (R).Class 12Relations and FunctionsTransitive relationLevel 15Hard