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Reflexive Relations

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

MathematicsIf \(A=\{1,2,3,4,5\}\) and \(R=\{(a,b)\in A\times A:a+b\le 6\}\), which statement is correct about \(R\)?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsIf A has 4 elements, how many reflexive relations are possible on A?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsOn the set \(A=\{1,2,3,4,5,6\}\), the relation \(R=\{(a,b):\gcd(a,b)=1\}\) is defined. Choose the correct statement.Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsOn the set \(P=\{\{1\},\{2\},\{1,2\}\}\), what type of relation is \(R=\{(A,B): A\subseteq B,\ A,B\in P\}\)?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsWhy is the relation \(R=\{(a,b)\in A\times A:a+b\ge 5\}\), defined on \(A=\{1,2,3,4\}\), not reflexive?Class 11Relations and FunctionsRelationsLevel 25Hard 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), (2,1)}, is R a reflexive relation on A?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIf \(A=\{1,2,3\}\) and \(R=\{(1,1),(2,2),(3,3)\}\), is \(R\) a reflexive relation on \(A\)?Class 11Relations and FunctionsRelationsLevel 26Easy