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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 \(A=\{1,2,3\}\), \(B=\{4,5\}\), and \(C=\{6\}\), how many elements does \((A\times B)\times C\) have?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf A = {2} and B = [−1, 4], which one is A × B?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf \(A=[2,5]\) and \(B=\{3\}\), what is the geometric form of \(A\times B\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf (A={1,2}) and (B={3,4,5}), which statement about (A\times B) and (B\times A) is correct?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf (A={1,2,4}) and (B={2,4,6}), how many pairs are in (A\times B\cap B\times A)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf (A={1,3,5}) and (B={0,2}), how many subsets does (A\times B) have?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf (A={2,4,6}) and (B={1,3}), which subset is a relation from (A) to (B)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf (A={1,2}) and (B={5,6,7}), how many relations are possible from (A) to (B)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf (A={a,b,c,d}) and (B={10,20,30}), how many pairs in (A\times B) have second component (20)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf (A={0,2,4}) and (B={1,3,5,7}), how many pairs in (A\times B) have first component (4)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf A = {1, 2, 4} and B = {1, 4, 16}, how many ordered pairs (x, y) in A × B satisfy y = x²?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf (A={4,6,8}) and (B={1,2,4}), how many pairs ((x,y)) in (A\times B) satisfy that (y) divides (x)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf A={1,3,5} and B={2,6,10}, how many ordered pairs (x,y) in A×B satisfy y=2x?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf (A={0,1,2,4}) and (B={1,2,3,4}), how many pairs ((x,y)) in (A\times B) satisfy (x+y=5)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf (A={0,1,2,3}) and (B={1,3,5}), how many pairs ((x,y)) in (A\times B) satisfy (x<y)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf \(A=\{2,3,4\}\) and \(B=\{3,4,5\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(x=y\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf A = {m, n, o}, how many ordered pairs are there in A × A?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf (A={5,10}) and (B=\varnothing), what is (A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsAssume that \(\mathbb{N}=\{1,2,3,\ldots\}\). If \(A=\{x:x\in\mathbb{N},\ 2\le x\le5\}\) and \(B=\{y:y\in\mathbb{N},\ y<4\}\), what is the value of \(n(A\times B)\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf (n(A)=4), (n(B)=5) and both sets are non-empty, which statement about the number of elements in (A\times B) and (B\times A) is correct?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium