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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={1,2,3,4}), and (C={(a,b)\in A\times B:\operatorname{lcm}(a,b)=6}), which is (C)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={1,2,3,4}), (B={2,3,4,5}), and (T={(a,b)\in A\times B:a^2-b\le3}), what is (n(T))?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={x\in\mathbb{Z}:|x-2|\le2}) and (B={y\in\mathbb{N}:y^2-5y+6=0}), how many ordered pairs in (A\times B) have (x+y) prime?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={1,2,3,4}), (B={1,2,3}), and (S={(a,b)\in A\times B:a+b\ge5}), what is (n(S))?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={1,2,3}) and (B={1,2,3,4}), how many pairs in (A\times B) make (b-a) a positive even number?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={1,2,3}), (B={2,3,4}), and (C={3,4,5}), what is ((A\times B)\cap(A\times C)) equal to?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf A = {1, 2, 3, 4} and B = {1, 2, 3, 4}, how many ordered pairs (a, b) in A × B satisfy |a − b| = 2?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf A={0,1,2} and B={1,2,3}, how many ordered pairs \((a,b)\) in the Cartesian product \(A\times B\) satisfy \(a^b=1\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsLet A and B be two non-empty sets. Which of the following statement about their Cartesian products is always true?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf \(A=\{1,3,5\}\) and \(B=\{2,4,6\}\), what will \(a+b\) always be for every \((a,b)\in A\times B\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={2,3,4}) and (B={5,6,7,8}), how many pairs in (A\times B) have (a+b) even?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf A={1,2,3} and B={3,6,9,12}, how many ordered pairs (a,b) in A×B have b as a multiple of a?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf A={1,2,3,4} and B={1,2,3}, how many ordered pairs in the Cartesian product A×B satisfy a+b≤5?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={1,2,3}) and (B={2,3,5}), how many pairs in (A\times B) have (a+b) as a prime number?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf \(A=\{1,2,3,4\}\) and \(B=\{1,4,9,16\}\), how many ordered pairs \((a,b)\) in \(A \times B\) satisfy \(b>a\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={1,2,3}) and (B={1,2}), how many pairs in (A\times B) have (a-b) positive?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={1,2,3}), (B={2,3,4}), what is (A\times(B\setminus A))?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf \(A=\{1,2,3,4\}\), \(B=\{2,4,6\}\), and \(C=\{1,2,4\}\), how many elements does \((A\cap C)\times(B\cap C)\) contain?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={1,2}), (B={3,4}), and (C={5,6}), how many elements are in ((A\cup B)\times C)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={1,2,3}) and (B={x,y}), which set is not a subset of (A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert