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Transitive Closure

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

MathematicsIf (R={(1,2),(2,3),(3,4),(1,3),(2,4)}), which missing pair breaks transitivity?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R) is transitive and contains ((1,2),(2,3),(3,1)), toward what does the whole ({1,2,3}) part move?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,2),(2,5),(5,3),(1,5),(2,3)}), which pair is immediately required to make it transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,2),(2,3),(3,4),(1,3),(2,4)}), which pair must be added to make it transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,2),(2,3),(3,1)}), which group must start getting added to form the full transitive closure?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,2),(2,1),(1,1)}), which minimum pair must be added to make it transitive?Class 12Relations and FunctionsTransitive relationMedium MathematicsIf (R={(1,2),(2,3),(3,1)}), which pair is first clearly required to make it transitive?Class 12Relations and FunctionsTransitive relationMedium MathematicsOn (A={1,2,3}), (R={(1,1),(1,2),(2,2),(2,3)}). Which pair must be added to make it transitive?Class 12Relations and FunctionsTransitive relationMedium MathematicsFor (R={(1,2),(2,3),(1,3),(3,1)}), which pair is definitely needed to make it transitive?Class 12Relations and FunctionsTransitive relationMedium MathematicsIf (R={(2,3),(3,5),(5,6),(2,5),(3,6)}), which additional pair is needed for transitivity?Class 12Relations and FunctionsTransitive relationEasy MathematicsIf (R={(1,2),(2,1)}), which pairs are needed for (R) to become transitive?Class 12Relations and FunctionsTransitive relationEasy MathematicsOn (A={1,2,3}), which pair must be added to make (R={(1,3),(3,2)}) transitive?Class 12Relations and FunctionsTransitive relationEasy MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,1),(2,3),(3,2),(3,4),(4,3)}). Which pair must necessarily appear when making it transitive?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3,4}), what is the transitive closure of (R={(1,2),(2,3),(3,4)})?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3,4}), which pair must necessarily appear when forming the transitive closure of (R={(1,2),(2,3),(3,1)})?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3,4}), how many pairs will the transitive closure of (R={(1,2),(2,3),(3,4)}) contain?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). Which self-pairs are forced in the transitive closure of (R)?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3,4}), which minimum pairs must be added to make (R={(1,2),(2,3),(3,4)}) transitive?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3}), what is the smallest transitive extension of (R={(1,2),(2,3)})?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3,4}), which pairs must necessarily be added to make (R={(1,2),(2,3),(3,4)}) transitive?Class 12Relations and FunctionsTypes of relationsHard