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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।

MathematicsOn (A={1,2,3,4,5}), (R={(1,1),(2,2),(3,3),(4,4),(5,5),(1,2),(2,1),(2,3),(3,2)}). Which minimum pairs must be added to make it an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2)}) is given. Which minimum pairs must be added to make it an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}) is given. Which pairs are definitely needed to make it an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,4),(4,1),(1,1),(4,4),(2,3),(3,2)}). Which missing pair is clearly needed to make it transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(1,1),(2,2),(3,3),(4,4),(5,5),(1,2),(2,3),(1,3),(3,5)}). Which pair is necessary to make it transitive?Class 12Relations and FunctionsTransitive relationExpert 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 relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(1,2),(2,4),(4,5),(1,4),(2,5)}). Which pair must be added to make it transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(1,3),(3,4)}). Which pair is necessary to make it transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,4),(1,3),(2,4)}). Which pair is necessary to add to make it transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,4),(4,3),(1,4),(2,3)}). Which ordered pair must be added to make it transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,3),(3,2),(2,4),(1,2),(3,4)}). Which pair is compulsory to add to make it transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,4),(1,3),(2,4)}). Which pair must be added to make it transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn the set (A={1,2,3}), the relation (R={(1,2),(2,3),(1,1)}) is given. Which ordered pair must be added at minimum to make it transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(4,2)}). Which pair is necessarily required for transitivity?Class 12Relations and FunctionsTransitive relationHard MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,1),(1,3)}). Which pair is definitely required to satisfy transitivity?Class 12Relations and FunctionsTransitive relationHard MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,4),(1,3),(2,4)}). Which pair is necessarily needed to make (R) transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsOn (A={1,2,3}), (R={(1,2),(2,3)}). Which pair must be added in the transitive closure of (R)?Class 12Relations and FunctionsTransitive relationHard MathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(1,1)}). Which minimum pair must be added to make it transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,1),(1,2),(2,2),(3,1)}), which pair must be added to make it transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,2),(2,4),(4,8),(1,4),(2,8)}), which pair should be added to fill the main transitivity gap?Class 12Relations and FunctionsTransitive relationHard