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Introduction To Relations

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 RelationsExpertMathematicsIn the divisibility relation on (A={2,3,6,12}), which is the greatest element?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsIn (R={(a,b):a\le b}) on (A={1,2,3,4}), which is the least element?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsOn (A={1,2,3,4}), (R={(a,b):a\mid b}). Why is this relation a partial order?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What is (R^{-1})?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsIf a relation (R) is transitive, which statement about (R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsIf (R) is an equivalence relation, which statement about (R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsIf (R) is a reflexive relation, which statement about (R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsIf (R) is a relation on a set (A), when will (R^{-1}) be symmetric?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) and (S={(1,1),(2,2),(3,3),(2,3),(3,2)}). Why is (R\cup S) not an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsIs the union of two equivalence relations always an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsIf (R) and (S) are equivalence relations on (A), which statement about (R\cap S) is correct?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsOn (A={1,2,3,4}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(3,4)})?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsOn (A={1,2,3}), starting from (R={(1,2),(2,3)}), how many pairs will the smallest relation containing (R) and being reflexive, symmetric and transitive have?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsFor (R={(1,2),(2,3),(3,4)}) on (A={1,2,3,4}), how many minimum pairs must be added to form the transitive closure?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(1,1)}). Which minimum pair must be added for transitivity?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(3,3)}). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsFor a non-empty set (A), which statement about the empty relation is correct?Class 12Relations and FunctionsIntroduction to RelationsExpertMathematicsOn real numbers, (aRb) iff (a^2+b^2=0). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsExpert

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