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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={1,2,3,4,5}, how many ordered pairs (a,b) in A×B satisfy a+b=6 or a=b?Class 11Relations and FunctionsCartesian product of setsLevel 22Medium MathematicsIf \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\), and \(C=\{2,3,5\}\), what is the value of \(\lvert A\times(B\setminus C)\rvert+\lvert(A\times B)\cap(A\times C)\rvert\)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf A = {1, 2, 3, 4}, B = {2, 4, 6, 8}, and R = {(a,b): b/a ∈ N}, what is |R|?Class 11Relations and FunctionsCartesian product of setsLevel 22Medium MathematicsIf (A={1,2,3,4}), (B={1,2,3,4}), and (S={(a,b):a+b\text{ is even}}), how many pairs are in the complement of (S) relative to (A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{2,3,4,5,6,7\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy both conditions: \(a+b\) is prime and \(a<b\)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf |A × B| = 24, |A| = 4, and |C| = 7, what is |B × C|?Class 11Relations and FunctionsCartesian product of setsLevel 22Medium MathematicsIf \(A=\{1,2,3,4,5,6\}\) and \(B=\{2,3,4,5\}\), how many ordered pairs \((a,b)\) in \(A\times B\) have \(a+b\) divisible by 2?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = B = {1, 2, 3, 4, 5, 6}, how many ordered pairs (a, b) in A × B satisfy both a + b = 7 and a < b?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium 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 MathematicsIf (A={0,1,2,3}) and (B={0,1,2,3,4}), how many pairs ((a,b)) in (A\times B) satisfy (a+b<5)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1, 2, 3, 4, 5} and B = {1, 2, 3, 4, 5}, how many ordered pairs (a, b) in A × B have a and b coprime?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf (A={2,4,6,8}) and (B={1,3,5}), what will (a+b) be for every pair ((a,b)) in (A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{1,2,3,4\}\) and \(A\times B\) has 28 elements, what is the value of \(|B|\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {2, 3, 4} and B = {5, 6, 7}, which of (3, 6), (5, 6), and (4, 7) is not in A × B?Class 11Relations and FunctionsCartesian product of setsLevel 24Easy MathematicsIf (A\times B=\varnothing) and (A={0}), what is true about (B)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {2,4} and A × C = {(2,1),(2,3),(2,5),(4,1),(4,3),(4,5)}, what is C?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1,2,3,4,5} and B = {1,2,3,4,5,6}, how many pairs (a,b) in A × B have b as a multiple of a?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1,2,3,4,5,6} and B = {1,2,3,4,5,6}, how many pairs (a,b) in A × B satisfy a ≠ b?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{2,3,4,5\}\) and \(B=\{1,2,3,4,5\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(b-a\) is even?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{1,2,3,4,5,6,7\}\) and \(B=\{0,1,2,3\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a-2b=1\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard