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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।

MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a<b}) and (S={(a,b):a,b\text{ are both odd}}). What is correct about (R\cap S)?Class 12Relations and FunctionsTransitive relationLevel 15Expert MathematicsWhich statement about two transitive relations R and S on the same set is not necessarily true?Class 12Relations and FunctionsTransitive relationLevel 15Expert MathematicsIf (R={(1,1),(1,2),(2,2)}) and (S={(2,2),(2,3),(3,3)}), what type is (R\cap S)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R) and (S) are both transitive relations on a set (A), what is correct about (R\cap S)?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R) and (S) are transitive relations on a set, what can be said about (R \cap S)?Class 12Relations and FunctionsTransitive relationLevel 14Medium MathematicsIf (R) and (S) are both transitive relations, which statement about (R \cap S) is correct?Class 12Relations and FunctionsTransitive relationLevel 13Medium MathematicsIf (R) and (S) are both transitive relations, what is correct about (R\cap S)?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsIf (R) and (S) are symmetric relations on a set (A), what is true about (R \cap S)?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsIf (R) is symmetric on a set (A), what is true about (R\cap\Delta), where (\Delta={(a,a):a\in A})?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R\cap R^{-1}=R), what is the correct conclusion about (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R) is symmetric, then (R\cap R^{-1}) is equal to which of the following?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf (R) and (S) are two symmetric relations on (A), which statement is always true?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf (R) is a symmetric relation, what is (R\cap R^{-1}) equal to?Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsIf (R) and (S) are both symmetric relations on (A), what is true about (R\cap S)?Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsIf (R) and (S) are both symmetric relations on a set (A), which statement about (R\cap S) is correct?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsIf (R) and (S) are both symmetric relations, what is true about (R\cap S)?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf (S={1,2,3}) and \(A=\mathcal{P}(S)\). On (A), (R={(X,Y):X\cap Y=X}). What is (R) with respect to reflexivity?Class 12Relations and FunctionsIntroduction to RelationsLevel 9Expert MathematicsIf (S={1,2,3}) and (A=\mathcal{P}(S)). (R={(X,Y):X\cap Y=\varnothing}). How many diagonal pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (R) is reflexive on (A) and (I_A) is the identity relation, what is correct about (R\cap I_A)?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsIf (R) is reflexive on (A), what can certainly be said about (R^{-1}\cap R)?Class 12Relations and FunctionsReflexive relationLevel 7Hard