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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।

MathematicsChoose the correct statement about the empty relation on A={1,2,3}.Class 12Relations and FunctionsTransitive relationLevel 15MediumMathematicsIf (R={(1,2),(2,3)}) on the set (A={1,2,3}), why is (R) not transitive?Class 12Relations and FunctionsTransitive relationLevel 15MediumMathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}), then what type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 15MediumMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(2,4),(1,4),(4,4)}). What is the correct answer about (R)?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn a set, (R) is transitive. If ((1,2)\in R), ((2,3)\in R), and ((3,4)\in R), which pair will definitely be in (R)?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3),(2,2),(3,3)}). Choose the correct statement.Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsIf a relation has no two pairs where the second element of the first pair equals the first element of the second pair, what can be said about transitivity?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3),(3,2)}). (R) is not transitive because which pair is missing?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a) is less than (b)(}). What conclusion follows from ((1,3)) and ((3,5))?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsThe relation (R={(a,b):a) is an ancestor of (b)(}) is defined on a set of people. Is it transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3}), the relation (R={(1,2),(2,2),(2,1),(1,1)}) is given. Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3,4}), (R={(1,3),(3,4),(1,4),(2,2)}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsThe relation (R={(a,b):a) is greater than or equal to (b)(}) is defined on real numbers. Is it transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3}), (R={(1,1),(1,2),(2,3),(1,3),(2,2)}). Which statement is correct?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsIf (R={(1,2),(2,3),(1,3),(3,3)}), which pair can be added without creating a new transitivity requirement?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn real numbers, (R={(a,b):a>b}) is given. Is it transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,2),(2,4),(1,4),(4,4)}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsWhich statement gives the correct definition of a transitive relation (R)?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn integers, (R={(a,b):a \equiv b \pmod{5}}). Why is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}). What is the correct conclusion about (R)?Class 12Relations and FunctionsTransitive relationLevel 14Medium