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

MathematicsWhat is the greatest possible number of pairs in a relation on A={1,2,3,4} that is both symmetric and antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 3ExpertMathematicsIf (A) has (4) elements, how many symmetric and irreflexive but non-empty relations are there on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3ExpertMathematicsIf (A) has (5) elements, how many antisymmetric relations can be formed on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3ExpertMathematicsOn (A={1,2,3}), (R={(1,1),(1,2),(2,3),(3,3)}). Why is this relation not transitive?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(2,3)}). Which pair must belong to (R\circ R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsOn (A={1,2,3}), (R={(1,2),(2,3)}). What is (R\circ R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsIf (R) is a transitive relation, which statement about (R\circ R) is always true?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsIf (R) is a reflexive relation on (A), which statement about (R\circ R) is always true?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsFor any relation (R), which property does (R\cup R^{-1}) always have?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsFor any relation (R), what is (R\cap R^{-1}) always like?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsIf (R) is a symmetric relation, which statement about (R\cup R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsIf (R) and (S) are both reflexive relations, which statement about (R-S) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsIf (R) and (S) are both symmetric relations, which statement about (R-S) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsOn (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 RelationsLevel 2ExpertMathematicsOn (A={1,2,3}), what is the transitive closure of (R={(1,2),(2,1)})?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsOn (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 RelationsLevel 2ExpertMathematicsOn (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 RelationsLevel 2ExpertMathematicsOn (A={1,2,3}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(2,1)})?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsIn the divisibility relation on (A={2,3,6,12}), which two elements are not comparable?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsIn 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 RelationsLevel 2Expert

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