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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}, B = {2, 3, 4}, and C = {1, 3, 5}, what is |(A ∩ B) × C|?Class 11Relations and FunctionsCartesian product of setsLevel 22Medium MathematicsIf \(A=\{1,2\}\), \(B=\{3,4\}\), and \(C=\{5,6\}\), what is the cardinality of \((A\cup B)\times C\)?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf (A={1,3,5}) and (B={2,4,6}), what will (a+b) be for every pair ((a,b)) in (A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf \(A=\{1,2,3\}\) and \(B=\{2,4,6,8\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(b=2a\)?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf A = {1, 2, 3, 4} and B = {1, 2, 3, 4}, how many ordered pairs (a, b) in A × B satisfy a ≠ b?Class 11Relations and FunctionsCartesian product of setsLevel 22Medium MathematicsIf (A={1,2,3}) and (B={1,4,9}), how many pairs ((a,b)) in (A\times B) satisfy (b=a^2)?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4\}\), how many ordered pairs \((a,b)\) in \(A\times B\) have \(a+b\) even?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf (A={1,2,3}) and (B={4,5}), how many one-element relations are subsets of (A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf A = {0, 1}, B = {1, 2}, and C = {2, 3}, what is A × (B − C)?Class 11Relations and FunctionsCartesian product of setsLevel 22Medium MathematicsIf A = {1, 2, 3}, B = {2, 3, 4}, and C = {3, 4, 5}, what is |A × (B ∩ C)|?Class 11Relations and FunctionsCartesian product of setsLevel 22Medium MathematicsIf (A={1,2}), (B={3,4}), (C={5}), how many elements are in (A\times(B\cup C))?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf (A=\varnothing) and (B={1,2,3}), what is (A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf (A\times B=\varnothing) and (A={1,2,3}), which statement about (B) is correct?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf (A={1,2}) and (A\times B={(1,a),(1,b),(2,a),(2,b)}), what is (B)?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf A = {1, 2, 3}, B = {2, 3, 4}, which among (2, 2), (3, 4), and (4, 3) is not in A × B?Class 11Relations and FunctionsCartesian product of setsLevel 22Easy MathematicsIf A={1,2,3} and |A×B|=12, what is the value of |B|?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf \(A=\{-1,0,1\}\) and \(B=\{0,1\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(x^2=y\)?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf A = {0, 1} and B = {2, 4, 6}, what is the value of |A × B|?Class 11Relations and FunctionsCartesian product of setsLevel 22Easy MathematicsIf A = {1, 2, 3} and B = {a, b}, which ordered pair in A × B has first component 3 and second component b?Class 11Relations and FunctionsCartesian product of setsLevel 22Easy MathematicsIf A = {1, 2, 3}, B = {2, 3, 4}, and C = {3, 4, 5}, how many elements are in A × ((B ∪ C) − A)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium