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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\times B=\varnothing) and (B={7,8}), what is true about (A)?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf (A={1,2}), (B={3,4}), and (A\times C={(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)}), what is (C)?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf A = {1,2,3} and B = {1,2,3,4}, how many pairs (a,b) in A × B have a + b divisible by 3?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium MathematicsIf \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4,5\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(b-a\) is odd?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf A = {1, 2, 3, 4, 5} and B = {0, 1, 2}, how many ordered pairs (a, b) in A × B satisfy a − 2b = 1?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf A = {1,2,3,4} and B = {1,2,4,8}, how many pairs (a,b) in A × B satisfy b = 2a?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium MathematicsIf \(A=\{0,1,2,3\}\) and \(B=\{0,1,2,3\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(a+b\) is even?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf A = {0,1,2}, B = {1,2,3}, and C = {2,3,4}, what is A × (B − C)?Class 11Relations and FunctionsCartesian product of setsLevel 23Easy MathematicsIf \(A=\{1,2,3,4\}\), \(B=\{1,2,5\}\), and \(C=\{2,4,5\}\), what is the value of \(|A\times(B\cap C)|\)?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard 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 23Easy MathematicsIf (A={0,1,2,3}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) satisfy (a<b)?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf A = {1, 2, 3, 4} and B = {2, 4, 6}, how many ordered pairs (a, b) in A × B satisfy a + b = 8?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf A = {a, b, c} and B = {1, 2}, how many elements does B × A have?Class 11Relations and FunctionsCartesian product of setsLevel 23Easy MathematicsIf A = {x : x ∈ N, 2 ≤ x ≤ 6} and B = {y : y ∈ N, y is odd, y < 8}, what is |A × B|?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium MathematicsIf (A={2,4,6}) and (B={1,3,5}), which pair in (A\times B) has first component (4) and second component (5)?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard MathematicsIf (A={1,2,3,4}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) satisfy (|a-b|=2)?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf \(A=\{1,2,3\}\) and \(B=\{2,3,4,5\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(b-a\) is even?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf (A={1,2,3}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) satisfy (ab\le6)?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf \(A=\{0,1,2,3\}\) and \(B=\{0,1,2\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(a+b\) is odd?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf \(A=\{1,2,3,4\}\) and \(B=\{1,2,4,8\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(b=2^a\)?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard