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Partial Order

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

MathematicsIn the divisibility relation on (A={2,3,4,6,12}), what is the least upper bound of (2) and (3)?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={2,3,6,12}), which is the greatest element?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn (R={(a,b):a\le b}) on (A={1,2,3,4}), which is the least element?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), (R={(a,b):a\mid b}). Why is this relation a partial order?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(3,4),(1,3),(2,4),(1,4)}) on (A={1,2,3,4}), which statement about (R) is false?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), if (aRb) when (a\le b), which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsWhich transitivity requirement fails for 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}?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,4),(1,4)}) on (A={1,2,3,4}), what type of relation is (R)?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={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(3,4),(1,3),(2,4),(1,4)}) on (A={1,2,3,4}), what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R) is a partial order relation on (A={1,2,3}) and ((1,2),(2,1)\in R), what conclusion follows?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) on (A={1,2,3}), which description fits (R) best?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,4),(1,4)}) on (A={1,2,3,4}), what is the correct statement about (R)?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 MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) on (A={1,2,3}), why is (R) not a partial order relation?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) on (A={1,2,3}), what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf divisibility relation is defined on (A={1,2,4,8}), what type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsOn (A={1,2,3,4}), relation (R={(a,b):a) divides (b)(}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsFor real numbers, relation (R) is defined by (aRb) iff (a\le b). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) on (A={1,2,3}), is (R) a partial order relation?Class 12Relations and FunctionsIntroduction to RelationsMedium