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Relations And Functions

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

MathematicsIf A={1,2,3,4,5,6} and aRb when a≡b (mod 3), what is the equivalence class of 1?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 25Medium MathematicsWhy is the relation \(R=\{(1,1),(2,2),(3,3),(1,2),(2,3)\}\) defined on the set \(A=\{1,2,3\}\) not transitive?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsFor a relation defined on the set \(A=\{1,2,3\}\), what is the minimum number of ordered pairs required for the relation to be reflexive?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf R is transitive and (1, 4) ∈ R, (4, 7) ∈ R, which ordered pair must belong to R?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsOn A={1,2,3,4}, if aRb means a≤b, which property must this relation have?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 25Medium MathematicsOn A={1,2,3}, what type is R={(1,1),(2,2),(3,3),(1,2),(2,1)}?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 25Medium MathematicsOn A={1,2,3}, which type is the relation R={(1,1),(2,2),(3,3),(1,2)}?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 25Medium MathematicsIf R={(2,5),(4,7),(6,9)}, what is the range of R?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 27Easy MathematicsIf A = {0, 1, 2} and R = {(a, b): a + b = 2}, what is R?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf \(R=\{(1,2),(2,1)\}\) and the base set is \(A=\{1,2\}\), why is \(R\) not reflexive?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf \(A=\{1,2,3\}\) and \(R=\{(1,1),(2,2),(3,3),(1,2),(2,3)\}\), why is \(R\) not transitive?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf A = {1, 2, 4, 8} and R = {(a, b): b = 2a}, which pair will be in R?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf A = {1, 2, 3, 4, 5} and R = {(a, b): b = a + 2}, which pair is in R?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf A = {1, 2, 3, 4} and R = {(a, b): a ≠ b}, how many pairs will be in R?Class 11Relations and FunctionsRelationsLevel 27Medium MathematicsIf A = {1, 2, 3} and R = {(a, b): a = b}, which pair will not be in R?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf R = {(1, 4), (4, 1), (2, 2)}, is R symmetric?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 27Easy MathematicsIf \(A=\{1,2,3,4\}\) and \(R=\{(1,1),(2,2),(3,3)\}\), why is \(R\) not reflexive?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf A = {1, 2} and B = {a, b, c, d}, how many relations can be formed from A to B?Class 11Relations and FunctionsRelationsLevel 27Medium MathematicsIf A = {1, 2, 3} and R = {(a, b): a < b}, which pair will not belong to R?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf R = {(x, y) : y = x + 3}, which ordered pair belongs to R?Class 11Relations and FunctionsRelationsLevel 1Easy