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Reverse Pairs

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}), (R={(1,2),(2,1),(1,1),(3,4),(4,3),(3,3),(4,4)}). Why is this relation not transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,1),(1,1),(2,2),(3,4),(4,3)}). Why is this relation not 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 MathematicsIf (R={(1,3),(3,1),(1,1),(2,4)}), why is (R) not transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R) is transitive and ((a,b)\in R), ((b,a)\in R), which conclusion is definite?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,2),(2,4),(1,4),(4,2)}), (R) is not transitive because which pair is required?Class 12Relations and FunctionsTransitive relationHard MathematicsIf a relation (R) contains ((1,2)), ((2,1)), ((1,1)), and ((2,2)), which pair is required because of ((1,2)) and ((2,1))?Class 12Relations and FunctionsTransitive relationMedium MathematicsOn (A={1,2,3}), (R={(1,2),(2,1)}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationMedium MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,3),(3,1)}). Which property is correct?Class 12Relations and FunctionsSymmetric relationExpert MathematicsIf (R) is a symmetric relation and ((2,5),(5,7)\in R), which option is definitely true?Class 12Relations and FunctionsSymmetric relationMedium MathematicsIf a symmetric relation (R) on (A={1,2,3}) contains ((1,2)) and ((2,3)), which pairs must also be present at minimum?Class 12Relations and FunctionsSymmetric relationMedium MathematicsIf (R) is symmetric and (R) contains ((2,5)) and ((4,6)), which group of pairs must be in (R)?Class 12Relations and FunctionsSymmetric relationMedium MathematicsHow many reverse pairs are there in (R={(1,2),(2,1),(3,1),(1,3)})?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIf (R) is transitive and ((1,2),(2,1)\in R), which pairs must be present?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) antisymmetric?Class 12Relations and FunctionsTypes of relationsMedium MathematicsWhy is (R={(1,2),(2,3)}) not symmetric on (A={1,2,3})?Class 12Relations and FunctionsTypes of relationsEasy MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) on (A={1,2,3}), why is (R) not antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}) on (A={1,2,3}), which property does (R) have?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,2),(2,3),(3,1)}), which pairs must be added to make (R) symmetric?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIn (R={(1,1),(2,2),(1,2),(2,1)}), which property is indicated by having ((1,2)) and ((2,1)) together?Class 12Relations and FunctionsIntroduction to RelationsEasy