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Relations That Are Reflexive And Symmetric

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

MathematicsFor A = {1,2,3,4}, let R = {(a,b) : a+b=5}. What is the correct statement about R?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 27Medium MathematicsOn A = {1,2,3,4,5,6}, let R = {(a,b) : gcd(a,b) = 1}. Which property is correct for this relation?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 26Hard 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 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 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 MathematicsIf R = {(1, 2), (2, 1), (3, 3)}, what is the main reason that R is symmetric?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 26Medium MathematicsIf A={1,2,3} and R={(1,1),(2,2),(3,3)}, what type of relation is R?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 26Easy 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 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 = {(1, 4), (4, 1), (2, 2)}, is R symmetric?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 27Easy MathematicsIf A={1,2,3} and R={(1,2),(2,1),(2,3)}, why is R not symmetric?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 26Easy MathematicsIf A has 3 elements, how many symmetric relations on A are also reflexive?Class 11Relations and FunctionsRelations that are reflexive and symmetricLevel 3Medium