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Cartesian Product

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 B = {3, 6, 9, 12}, how many ordered pairs (a, b) in A × B satisfy b = 3a?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{0,1,2,3,4\}\) and \(B=\{0,1,2,3\}\), how many ordered pairs \((a,b)\) in \(A\times B\) have \(a+b\) even?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1,3,5}, B = {2,3,4,5}, and C = {3,5,7}, what is A × (B − C)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{0,1,2\}\), \(B=\{1,2,3,4\}\), and \(C=\{2,4,6\}\), what is the value of \(|A\times(B\cap C)|\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{1,2,3,4\}\), \(B=\{2,4,6\}\), and \(C=\{4,6,8\}\), what is the value of \(|A\times(B\cup C)|\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {2,3,4} and B = {6,8,9,12}, how many pairs (a,b) in A × B have a dividing b?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1,2,3,4,5,6} and B = {1,2,3}, how many pairs (a,b) in A × B satisfy a ≥ 2b + 1?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf (A={0,1,2,3,4}) and (B={2,3,4,5}), how many pairs ((a,b)) in (A\times B) satisfy (a<b)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{2,4,6\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a+b=9\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{a,b\}\) and \(B=\{1,2,3,4\}\), how many ordered pairs are there in \(B\times A\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsAssume that \(\mathbb{N}=\{1,2,3,\ldots\}\). If \(A=\{x\in\mathbb{N}:3\le x\le 8\}\) and \(B=\{y\in\mathbb{N}:y\le 4\}\), what is the value of \(|A\times B|\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf (A={3,5,7}) and (B={2,4,6}), which ordered pair in (A\times B) has first component (7) and second component (4)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf (A={1,2,3,4}), (B={2,3,4,5,6}), and (R={(a,b):b\ge a+2}), how many elements are in (R\subseteq A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf (A={1,2,3,4,5}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) have (a+b) divisible by (4)?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf A = {1,2,3}, B = {1,2,3,4}, and S = {(a,b) : b > a + 1} ⊆ A × B, how many elements are in S?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium MathematicsIf A = {1, 2, 3, 4, 5} and B = {2, 3, 4, 5}, how many ordered pairs (a, b) in A × B have a + b divisible by 2?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf A = {1,2,3}, B = {1,2,3}, and R = {(a,b) : a ≤ b}, how many elements are in R?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium MathematicsIf \(A=\{1,2,3,4\}\) and \(B=\{2,4,6,8\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a+b=10\)?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf \(A=\{1,2,3\}\) and \(A\times B\) has a total of \(15\) elements, what is the value of \(|B|\)?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf A = {1,2,3} and B = {3,4,5}, how should the statement A × B = B × A be classified?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium