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Ordered Pairs

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} and R = {(a, b) : a > b}, where a, b ∈ A, how many ordered pairs are in R?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsWhat type of relation is \(R=\{(1,1),(2,2),(3,3)\}\), defined on the set \(A=\{1,2,3\}\)?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf 8A=\{1,2\}9 and 8R=\{(1,2),(2,1)\}9, what is the inverse relation 8R^{-1}9?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf \(A=\{1,2,3,4\}\) and \(R=\{(a,b):a+b\text{ is even}\}\), where \(a,b\in A\), which of the following ordered pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf R = {(1,4), (2,4), (3,5)}, then 4 is the image of which elements?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf \(A=\{1,2,3,4\}\) and \(R=\{(a,b): b=a+1\}\), where \(a,b\in A\), which of the following ordered pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf \(R=\{(1,2),(2,1),(3,3)\}\), which of the following ordered pairs must belong to \(R^{-1}\)?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf \(A=\{1,2,3\}\), how many ordered pairs are there in \(A\times A\)?Class 11Relations and FunctionsCartesian product of setsLevel 25Easy MathematicsIf R = {(1,1), (2,2), (3,3), (1,2)} on A = {1,2,3}, which extra pair is different from the identity relation?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 (R={(1,2),(2,4),(3,6)}), what is (R^{-1})?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsWhich is the identity relation on A = {1, 2, 3}?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsWhat is the domain of the relation (R={(1,2),(2,3),(3,4)})?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf A={a,b} and B={1}, how many ordered pairs are in A×B?Class 11Relations and FunctionsCartesian product of setsLevel 24Easy MathematicsIf (A={1,2,3}), (B={1,2,3,4}), and (C={(a,b)\in A\times B:\operatorname{lcm}(a,b)=6}), which is (C)?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 × B satisfy |a − b| = 2?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf A={0,1,2} and B={1,2,3}, how many ordered pairs \((a,b)\) in the Cartesian product \(A\times B\) satisfy \(a^b=1\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsLet A and B be two non-empty sets. Which of the following statement about their Cartesian products is always true?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf A={1,2,3} and B={3,6,9,12}, how many ordered pairs (a,b) in A×B have b as a multiple of a?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf A={1,2,3,4} and B={1,2,3}, how many ordered pairs in the Cartesian product A×B satisfy a+b≤5?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert