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Not Transitive

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

MathematicsOn real numbers, (aRb) iff (ab\ge0). In which property does this relation fail?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn real numbers, (aRb) iff (|a-b|\le 1). In which property does this relation fail?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), if (aRb) when (|a-b|\le1), which property is absent?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,3),(3,1)}) on (A={1,2,3}), why is (R) not transitive?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(3,4),(1,3),(2,4)}) on (A={1,2,3,4}), why is (R) not a partial order relation?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,2),(2,3),(3,1)}) on (A={1,2,3}), why is (R) not transitive?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), if (aRb) when (a+b=5), why is (R) not transitive?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3}), relation (R) is defined by (aRb) if (|a-b|\le1). Which property is absent?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,3)}) on (A={1,2,3}), why is (R) not a partial order relation?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b) is odd(}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,2),(2,3),(3,1)}), is (R) transitive?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}) on (A={1,2,3}), why is (R) not an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsMedium