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Mathematics

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

MathematicsWhich of the following ordered pairs belongs to the identity relation I_A defined on A = {1, 2, 3, 4}?Class 11Relations and FunctionsRelationsLevel 26Expert 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 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 MathematicsThe set A is partitioned into P = {{1,2}, {3,4,5}, {6}}. How many ordered pairs are in the equivalence relation induced by this partition?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn A = {1, 2, 3, 4, 5}, let R = {(1,2), (2,4), (4,5)}. What is the minimum number of pairs that must be added to make R transitive?Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn the students of a class, define aRb if and only if a and b have the same birth month. What type of relation is R?Class 11Relations and FunctionsRelationsLevel 27Medium MathematicsOn A = {0, 1, 2, 3, 4}, let R = {(a, b) : a + b ≡ 0 (mod 5)}. How many ordered pairs are in R?Class 11Relations and FunctionsRelationsLevel 27Medium MathematicsIf A has 6 elements, what is the number of symmetric relations on A?Class 11Relations and FunctionsCounting symmetric relationsLevel 27Hard MathematicsOn A = {0, 1, 2, 3, 4, 5, 6, 7}, define aRb if and only if a − b is divisible by 4. How many equivalence classes are there?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 27Medium MathematicsIf A has n elements, what is the number of symmetric relations on A?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsIf A = {1, 2, 3} and B = {2, 3, 4}, how many relations from A to B contain exactly 2 ordered pairs?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsWhich properties are required for a relation R on a set A to be an equivalence relation?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsWhat is R = {(a,b): a² = b²} on A = {-2,-1,1,2}?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 25Hard MathematicsWhich is the identity relation I_A on A = {1,2,3}?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 25Medium MathematicsFor R = {(a,b): |a − b| ≤ 1} on A = {1,2,3,4}, which statement is correct?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 25Hard MathematicsOn A = Z, define aRb when a − b is divisible by 3. What type of relation is this?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 MathematicsOn A = {1,2,3}, relation R = {(1,1),(2,2),(3,3),(1,2)} satisfies which property?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf R = {(a,b): a ≠ b} on A = {1,2,3}, is R symmetric?Class 11Relations and FunctionsRelationsLevel 25Medium