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

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 MathematicsWhat is the range of the relation \(R=\{(1,3),(2,3),(3,5),(4,7)\}\)?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf A={1,2,3} and R={(a,b)∈A×A : a+b<3}, what is the roster form of R?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf the relation \(R=\{(1,1),(2,2),(3,3),(1,2),(2,1)\}\) is defined on the set \(A=\{1,2,3\}\), which of the following properties does \(R\) definitely satisfy?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf \(A=\{2,3,4,5\}\) and \(R=\{(a,b)\in A\times A:a\ge b\}\), which of the following ordered pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsLevel 27Easy 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 MathematicsIf \(R=\{(a,b):a-b=0\}\), what type of ordered pairs will belong to \(R\)?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIf \\(A=\{1,2,3\}\\) and \\(R=\{(1,2),(2,3)\}\\), then \\(R\\) is a subset of which of the following?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIf A = {1, 2} and R = {(1, 1), (2, 2)}, what type of relation is R?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIf A={a,b}, which one is the empty relation on A?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIf \(A=\{1,2\}\) and \(B=\{3,4\}\), which is the largest relation from \(A\) to \(B\)?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf \(A=\{1,2,3\}\) and \(R=\{(a,b)\in A\times A: a=b\}\), then what type of relation is \(R\)?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf \(A=\{1,3,5\}\) and \(B=\{2,4,6\}\), what will \(a+b\) always be for every \((a,b)\in A\times B\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a^2+b^2=25\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf \(A=\{0,1,2,3\}\) and \(B=\{0,1,4,9\}\), how many ordered pairs in \(A\times B\) satisfy \(b=a^2\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsUnder which condition is (A\times B=B\times A) definitely true?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsWhich statement is generally not true for Cartesian products of sets?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium MathematicsIf A={1,2}, B={3,4}, and C={5}, which element belongs to (A×B)×C?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf n(A × B) = 72 and n(A) = 8, what is n(B)?Class 11Relations and FunctionsCartesian product of setsLevel 23Easy MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{2,4,6,8,10\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a+b=11\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard