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Transitive Relation

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} 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 MathematicsIf \(R=\{(x,y)\in\mathbb{R}^2:x-y>0\}\), what is the nature of \(R\)?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsFor the relation \(R=\{(a,b):a\ne b\}\) on the set \(A=\{1,2,3\}\), choose the correct statement.Class 11Relations and FunctionsRelationsLevel 25Hard 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 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 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 MathematicsLet \(S=\{1,2,3\}\). Which of the following relations on \(S\) is an equivalence relation?Class 11Relations and FunctionsRelationsLevel 26Medium 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 MathematicsIf R is transitive and (1, 4) ∈ R, (4, 7) ∈ R, which ordered pair must belong to R?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf (R={(1,2),(2,3),(1,3),(2,2),(3,3)}), which pair is most important while checking transitivity?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf R = {(1,2), (2,3)}, why is R not transitive?Class 11Relations and FunctionsRelationsLevel 26Easy