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Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (A={1,2,3,4}) and (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1)}), which statement about (R) is correct?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b \text{ is odd}}). Which property fails for (R)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf A has 3 elements, how many relations on A are both reflexive and symmetric?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 25Medium MathematicsIf (A={1,2,3,4}) and (R={(a,b):|a-b|=1}), which property is true?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsFor the universal relation (A\times A) on (A={1,2,3}), which statement is correct?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsFor the empty relation ∅ on A = {1,2,3}, which statement is correct?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsIf (A={1,2,3,4}) and (R={(a,b):a+b=5}), choose the correct statement about (R).Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn A = {1,2,3,4}, let R = {(a,b) : a divides b}. Which statement about R is correct?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 25Hard MathematicsOn the set of integers, (aRb) means (a-b) is even. What type of relation is it?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf 8A=\{1,2,3,4,5,6\}9 and the relation \(R=\{(a,b):a\equiv b\pmod{3}\}\) is defined on \(A\), how many equivalence classes does it form?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf (A={1,2,3}), how many symmetric relations are possible on (A)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):a\le b}). Choose the correct option for (R).Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf A has 4 elements, how many reflexive relations are possible on A?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsIf set \(A\) has 5 elements, how many total relations are possible on \(A\)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn the set (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}) is given. Which property fails for (R)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf (A={1,2,3,4}) and (R={(a,b):a-b \text{ is divisible by }2}), which statement about (R) is correct?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf (R) is a symmetric relation and ((5,9)\in R), which statement must be true?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn real numbers, (aRb) if and only if (a-b\in\mathbb{Q}). Which is the correct form of ([\sqrt{2}])?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn c(cmathcal{P}(X)c), a relation c(A R Bc) is defined by c(A R Bc) if and only if c(|A|=|B|c). What type of relation is it?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn (\mathcal{P}({1,2})), (ARB) if and only if (A\cap B=\varnothing). Choose the correct statement.Class 11Relations and FunctionsRelationsLevel 27Hard