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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।

MathematicsOn any non-empty set (A), what is the universal relation (R=A \times A)?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsFor relation (R=\varnothing) on the empty set (\varnothing), what is the correct statement?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsWhy is the relation \(R=\{(a,b):a<b\}\) defined on \(A=\{1,2,3,4\}\) not reflexive?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsFor the relation R = {(a, b) ∈ A×A : a ≤ b} on the set A = {1, 2, 3, 4}, which statement is correct?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsOn the set \(A=\{1,2,3,4,5,6\}\), define a relation \(R\) by \(aRb\) if and only if \(a\equiv b\pmod{2}\). How many equivalence classes does this relation have?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsOn (\mathbb{Z}), (aRb) if (a-b) is even. Which equivalence class contains (5)?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsOn A = Z, define aRb when a − b is divisible by 3. What type of relation is this?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsWhy is R = {(1,2), (2,3)} not transitive on A = {1,2,3}?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIs (R={(1,2),(2,3),(1,3)}) transitive on (A={1,2,3})?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsFor the relation R = {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)} on the set A = {1, 2, 3}, choose the correct statement.Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsSet (A) has (3) elements. How many antisymmetric relations are there on (A)?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsSet A has 3 elements. How many symmetric relations are there on A?Class 11Relations and FunctionsCounting symmetric relationsLevel 25Hard MathematicsSet A has 4 elements. How many reflexive relations are there on A?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsHow many relations can be formed on (A={1,2,3})?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsIf A = {1, 2, 3, 4, 5} and R = {(a, b) ∈ A × A : a + b = 6}, then what type of relation is R?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsFor (R={(a,b):a \mid b}) on (A={1,2,3,4}), choose the correct option.Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsWhy is (R={(1,1),(2,2),(3,3),(1,2)}) on (A={1,2,3}) antisymmetric?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsChoose the correct statement about (R={(1,2),(2,1),(2,3),(3,2)}) on (A={1,2,3}).Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsOn A = {1,2,3}, relation R = {(1,1),(2,2),(3,3),(1,2)} satisfies which property?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf A = {1, 2} and B = {3, 4}, how many ordered pairs are there in A × B?Class 11Relations and FunctionsCartesian product of setsLevel 27Medium