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Relations And Functions

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 = {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 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}, B = {2,3,4}, and C = {3,4,5}, what is |A × (B ∪ C)|?Class 11Relations and FunctionsCartesian product of setsLevel 23Easy 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 \(A=\{1,2,3\}\) 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 \(A=\{0,1,2,3\}\) 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 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 \(A=\{1,2,3\}\) 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