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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।

MathematicsIf every two elements are comparable in a relation and it is also a partial order, what is it called?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2),(1,3)}) a partial order?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn real numbers, (aRb) if (a^2\le b^2). Why is this not a partial order?Class 12Relations and FunctionsTypes of relationsMedium MathematicsIf (R) is a partial order relation, which property is not required?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn a family of sets, (A R B) if (A\subseteq B). Why is this a partial order?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn (A={1,2,3,6}), (aRb) if (a) divides (b). Which statement is correct?Class 12Relations and FunctionsTypes of relationsMedium MathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}), which statement is correct?Class 12Relations and FunctionsTypes of relationsMedium MathematicsWhich relation can be both symmetric and antisymmetric?Class 12Relations and FunctionsTypes of relationsMedium MathematicsIf (R) is a partial order relation and ((a,b)\in R), ((b,a)\in R), what follows?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn real numbers, (aRb) if (a-b\ge0). This relation is an example of what?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn a family of sets, (A R B) if (A\subseteq B). What type of relation is this?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn positive integers, (aRb) if (a) divides (b). What type of relation is it?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2)}) antisymmetric?Class 12Relations and FunctionsTypes of relationsMedium MathematicsIn an antisymmetric relation, if both ((a,b)) and ((b,a)) are present, what conclusion follows?Class 12Relations and FunctionsTypes of relationsMedium MathematicsWhich relation on (A={1,2,3}) can be an example of a partial order relation?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(2,1),(3,2),(3,1)}) resembles which relation?Class 12Relations and FunctionsTypes of relationsMedium MathematicsIs (R={(1,1),(2,2),(3,3),(1,2)}) a partial order relation on (A={1,2,3})?Class 12Relations and FunctionsTypes of relationsEasy MathematicsIf a relation is reflexive and transitive but not antisymmetric, is it a partial order relation?Class 12Relations and FunctionsTypes of relationsEasy MathematicsWhich property is not required for a partial order relation and is wrongly added?Class 12Relations and FunctionsTypes of relationsEasy MathematicsIf a relation is reflexive, antisymmetric and transitive, what is it called?Class 12Relations and FunctionsTypes of relationsEasy