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Chain Relation

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

MathematicsOn (A={1,2,3,4,5}), (R={(1,2),(2,3),(3,4),(1,3),(2,4),(1,4),(4,5)}). Which pair must be added to make it transitive?Class 12Relations and FunctionsTransitive relationExpertMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,4),(1,3),(2,4),(1,4)}). Why is this relation transitive?Class 12Relations and FunctionsTransitive relationExpertMathematicsOn (A={1,2,3}), (R={(1,2),(2,2),(2,3)}). What is the main reason transitivity fails?Class 12Relations and FunctionsTransitive relationExpertMathematicsIf (R={(1,2),(2,3),(3,4),(1,3),(2,4),(1,4),(4,4)}), what type of relation is (R)?Class 12Relations and FunctionsTransitive relationHardMathematicsIf (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}), what type will (R^{-1}) be?Class 12Relations and FunctionsTransitive relationHardMathematicsIf (R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}), what type of relation is (R)?Class 12Relations and FunctionsTransitive relationMediumMathematicsOn (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 relationMediumMathematicsIf a relation contains ((1,2)), ((2,3)), and ((3,4)), which pair will also be necessary for full transitivity?Class 12Relations and FunctionsTransitive relationEasyMathematicsIf (R) is transitive and ((p,q)\in R), ((q,r)\in R), ((r,s)\in R), which pair is obtained in the first step by transitivity?Class 12Relations and FunctionsTransitive relationEasyMathematicsIf (A={1,2,3,4}) and (R={(1,2),(2,3),(3,4)}), how many pairs will be in the transitive closure of (R)?Class 12Relations and FunctionsIntroduction to RelationsHardMathematicsIf (R={(1,2),(2,3),(3,4)}), which additional pairs must appear in the transitive closure?Class 12Relations and FunctionsIntroduction to RelationsHard

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