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Reflexive Relation

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 MathematicsIf (A={1,2,3}), what is the smallest reflexive relation on (A)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf (|A|=4), how many relations on (A) must contain ((a,a)) for all (a\in A)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf A={1,2,3,4} and R={(a,b)∈A×A : ab is even}, which statement about R is correct?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn the set \(A=\{1,2,3,4\}\), let \(R=\{(a,b):a\ge b\}\). Which statement about the relation \(R\) is correct?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn the set of real numbers, a relation R is defined by aRb if and only if \(|a-b|\leq 2\). Choose the correct statement.Class 11Relations and FunctionsRelationsLevel 27Hard MathematicsOn the set \(A=\{1,2,3,4,5\}\), let \(R=\{(a,b)\in A\times A:a+b\le 6\}\). Choose the correct statement.Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsOn the set \(A=\{1,2,3,4\}\), let \(R=\{(a,b)\in A\times A:a-b>0\}\). Which statement about this relation is correct?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsWhich is the smallest reflexive relation on the set \(A=\{1,2,3\}\)?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsOn the set \(A=\{1,2,3,4,5,6\}\), consider the relation \(R=\{(a,b):\gcd(a,b)=1\}\). Which of the following properties is true for this relation?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 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 4 elements. How many reflexive relations are there on A?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 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 reflexive?Class 11Relations and FunctionsRelationsLevel 27Medium MathematicsLet \(S=\{1,2,3\}\). Which of the following relations on \(S\) is an equivalence relation?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsThe set (A) has (4) elements. How many reflexive relations are there on (A)?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 MathematicsWhy is the relation \(R=\{(1,1),(2,2),(1,2),(2,1)\}\) on the set \(A=\{1,2,3\}\) not reflexive?Class 11Relations and FunctionsRelationsLevel 25Medium