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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 A = {a, b, c} and B = {c, d, e}, what is A ∪ B?Class 12SetsLevel 11Easy MathematicsIf A = (0, 2] and B = [2, 4), what is A ∪ B?Class 12Continuity and DifferentiabilityExponential functionsLevel 7Medium MathematicsWhich is the roster form of F₁ = {x : x is a positive multiple of 3 or 5, and x < 20}?Class 12SetsLevel 2Easy MathematicsIn which situation is (R\cup S), where (R) and (S) are equivalence relations, definitely an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17Hard 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\cup S)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIs the union (R \cup S) of two transitive relations (R) and (S) always transitive?Class 12Relations and FunctionsTransitive relationLevel 14Medium MathematicsIf (R) and (S) are transitive, what is generally true about (R \cup S)?Class 12Relations and FunctionsTransitive relationLevel 13Medium MathematicsIf (R) and (S) are both transitive relations, is (R\cup S) always transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsIf (R) and (S) are symmetric relations, which conclusion is correct about (R \cup S)?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsIf (R) is symmetric and (T=R\cup R^{-1}), which statement about (T) is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsFor any relation R, which statement about R ∪ R⁻¹ is always true?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R) is a symmetric relation, what is true about (R\cup R^{-1})?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R) is a symmetric relation, what is (R\cup R^{-1}) equal to?Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsIf (R) and (S) are both symmetric relations on (A), which statement is true about (R\cup S)?Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsIf R is a symmetric relation, which statement about R ∪ R⁻¹ is correct?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsIf (R) and (S) are both symmetric relations, what is the correct statement about (R\cup S)?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf \(S=\{1,2,3\}\) and \(A=\mathcal{P}(S)\), then a relation \(R\) on \(A\) is defined by \[R=\{(X,Y):X,Y\in A \text{ and } X\cup =S\}. \] How many diagonal pairs must be added to make \(R\) reflexive?Class 12Relations and FunctionsIntroduction to RelationsLevel 9Expert MathematicsFor \(S={1,2,3}\) and \(A=\mathcal{P}(S)\), \(R={(X,Y):X\cup Y=Y}\). Is (R) reflexive?Class 12Relations and FunctionsIntroduction to RelationsLevel 9Expert MathematicsFor (S={1,2,3}) and (A=\mathcal{P}(S)), (R={(X,Y):X\cup Y=X}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Expert