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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 \(A=\{1,2,3,4\}\) 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 = {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, 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 = {1, 2, 3} and B = {4, 5}, what is the subset R = {(x, y): x + y = 7} of A × B?Class 11Relations and FunctionsCartesian product of setsLevel 22Medium 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 MathematicsIf \(A=\{1,2\}\) and \(B=\{2,5\}\), what is the set of sums of the components of all ordered pairs in \(A \times B\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf A = {0, 1, 2}, B = {3, 4}, and R = {(0, 3), (2, 4)}, then R is a subset of which set?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf \(A=\{1,2,3,4\}\), \(B=\{a,b\}\), and \(R=\{(x,y):x\in A,\ y\in B,\ x\text{ is even}\}\), which of the following ordered pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsLevel 24Medium MathematicsStatement: If A = B, then A × B = B × A. Choose the correct option.Class 11Relations and FunctionsCartesian product of setsLevel 24Easy MathematicsIf A={1,2,5} and B={2,4,6}, how many ordered pairs (x,y) in A\(\times\)B satisfy x+y>7?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf A = {3, 6, 9} and B = {1, 2, 3}, how many ordered pairs (x, y) in A × B satisfy x = 3y?Class 11Relations and FunctionsCartesian product of setsLevel 24Easy MathematicsIf A = {1, 2, 3, 6} and B = {1, 2, 3, 6}, how many pairs (x, y) in A × B satisfy xy = 6?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf A={2,3,4,5} and B={1,2,3}, how many ordered pairs (x,y) in A×B satisfy x−y=2?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf A = {2, 5, 8} and B = {1, 4, 7}, which pair in A × B has the greatest sum of components?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf A={0, 2, 4, 6} and B={1, 3, 5}, how many ordered pairs (x, y) in A×B satisfy x+y=7?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium