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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।

MathematicsIf (S={1,2,3}) and (A=\mathcal{P}(S)). On (A), (R={(X,Y):X\cap Y=X}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7ExpertMathematicsIf (R) and (S) are reflexive relations on the same set (A), which statement about (R \cap S) is correct?Class 12Relations and FunctionsReflexive relationLevel 8HardMathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}) and (S={(1,1),(2,2),(3,3),(2,3)}). What is (R\cap S)?Class 12Relations and FunctionsReflexive relationLevel 9MediumMathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}) and (S={(1,1),(2,2),(3,3),(2,3)}). What is correct about (R\cap S)?Class 12Relations and FunctionsReflexive relationLevel 7MediumMathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}) and (S={(a,b):a-b\text{ is divisible by }4}). How many pairs are in (R\cap S)?Class 12Relations and FunctionsIntroduction to RelationsLevel 6ExpertMathematicsIf (R) is a reflexive relation on a set, what is true about (R\cap I), where (I) is the identity relation?Class 12Relations and FunctionsTypes of relationsLevel 6ExpertMathematicsFor any relation (R), which statement about (R\cap R^{-1}) is always true?Class 12Relations and FunctionsTypes of relationsLevel 6ExpertMathematicsIf R and S are transitive relations on A, which implication proves that R∩S is transitive?Class 12Relations and FunctionsTypes of relationsLevel 6ExpertMathematicsIf (R) and (S) are symmetric relations, which statement about (R\cap S) is correct?Class 12Relations and FunctionsTypes of relationsLevel 6ExpertMathematicsIf (R) and (S) are equivalence relations, which statement about (R\cap S) is correct?Class 12Relations and FunctionsTypes of relationsLevel 5ExpertMathematicsIf (R) and (S) are reflexive relations on the same set, which statement is always true about (R\cap S)?Class 12Relations and FunctionsTypes of relationsLevel 4ExpertMathematicsIf (R) and (S) are transitive relations, choose the correct statement about (R\cap S).Class 12Relations and FunctionsTypes of relationsLevel 6HardMathematicsIf (R) and (S) are reflexive relations on the same set, what is true about (R\cap S)?Class 12Relations and FunctionsTypes of relationsLevel 6HardMathematicsIf (R) and (S) are relations, what is ((R\cap S)^{-1}) equal to?Class 12Relations and FunctionsIntroduction to RelationsLevel 3ExpertMathematicsFor any relation (R), what is (R\cap R^{-1}) always like?Class 12Relations and FunctionsIntroduction to RelationsLevel 2ExpertMathematicsIf (R) and (S) are equivalence relations on (A), which statement about (R\cap S) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1ExpertMathematicsIf (R) and (S) are reflexive relations on (A), which statement about (R\cap S) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1HardMathematicsIf (R) and (S) are both reflexive relations on (A), what is true about (R\cap S)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium