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Transitive Property

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich property of an equivalence relation requires that if ((a,b)\in R) and ((b,c)\in R), then ((a,c)\in R)?Class 12Relations and FunctionsEquivalence relationMedium MathematicsIf (aRb), (bRc), and therefore (aRc) are true, which property is shown?Class 12Relations and FunctionsEquivalence relationEasy MathematicsWhat is the correct meaning of the transitive property in an equivalence relation?Class 12Relations and FunctionsEquivalence relationEasy MathematicsIf (R) is an equivalence relation and ((p,q)\in R), ((q,r)\in R), which pair will definitely belong to (R)?Class 12Relations and FunctionsEquivalence relationEasy MathematicsWhich is the correct identification of the transitive property?Class 12Relations and FunctionsEquivalence relationEasy MathematicsIf (R) is an equivalence relation and ((a,b)\in R), ((b,c)\in R), what follows by the transitive property?Class 12Relations and FunctionsEquivalence relationEasy MathematicsIf ((a,b)\in R) and ((b,c)\in R) always imply ((a,c)\in R), which property is this?Class 12Relations and FunctionsEquivalence relationEasy MathematicsIf (R) is an equivalence relation and ((a,b)\in R), ((b,c)\in R), which conclusion is correct?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn a set (A), (R) is a transitive relation. Which statement about (R^{-1}) is always true?Class 12Relations and FunctionsTransitive relationHard MathematicsOn a set (A), (R) is transitive and (R\subseteq S). Is it certain that (S) is transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R) and (S) are transitive relations on a set (A), which statement about (R\cap S) is always true?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R) is an equivalence relation and ((1,2)\in R), ((2,4)\in R), which pair must be in (R)?Class 12Relations and FunctionsTypes of relationsMedium