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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।

MathematicsFor any relation (R), which property does (R\cup R^{-1}) always have?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsFor any relation (R), what is (R\cap R^{-1}) always like?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) is a symmetric relation, which statement about (R\cup R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) and (S) are both reflexive relations, which statement about (R-S) is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) and (S) are both symmetric relations, which statement about (R-S) is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), how many pairs are in the transitive closure of (R={(1,2),(2,3),(3,4)})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), what is the transitive closure of (R={(1,2),(2,1)})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), which new pair is minimally needed to make (R={(1,2),(2,3),(4,4)}) transitive?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(2,3)})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(2,1)})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={2,3,6,12}), which two elements are not comparable?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={2,4,8,16}), how many elements are in the longest chain of the Hasse diagram?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={2,3,6,9,18}), which is the greatest element?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={2,3,6,9,18}), does a least element exist?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={1,2,3,4,6,12}), what is the greatest lower bound of (4) and (6)?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={1,2,3,4,6,12}), what is the least upper bound of (3) and (4)?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIn the divisibility relation on (A={1,2,3,4,6,12}), how many pairs are there?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4,5}), how many pairs are in (R={(a,b):a\le b})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4,5}), how many pairs are in (R={(a,b):a<b})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4,5}), how many pairs are in (R={(a,b):a+b\le6})?Class 12Relations and FunctionsIntroduction to RelationsExpert