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Ordered Pairs

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 \(B=\{1,4,9,16\}\), how many ordered pairs \((a,b)\) in \(A \times B\) satisfy \(b>a\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf \(A=\{1,2,3,4\}\), \(B=\{2,4,6\}\), 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={1,2,3}) and (B={x,y}), which set is not a subset of (A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf A = {1, 2, 3, 4}, how many ordered pairs in A × A satisfy a + b = 5?Class 11Relations and FunctionsCartesian product of setsLevel 24Easy MathematicsIf \(A=\{1,2,3\}\) and \(B=\{1,2,3\}\), how many ordered pairs \((a,b)\) in the Cartesian product \(A\times B\) satisfy \(a\ne b\)?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 \(A\times B\) satisfy \(a^2+b^2=25\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf \(A=\{2,4,6\}\) and \(B=\{1,2,3,4\}\), how many ordered pairs \((a,b)\) in \(A\times B\) make \(\frac{a}{b}\) an integer?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={1,2,4}) and (B={1,2,4,8}), how many pairs in (A\times B) satisfy (ab=8)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf A = {-2, -1, 0, 1, 2} and B = {0, 1, 4}, how many pairs in A × B satisfy b = a²?Class 11Relations and FunctionsCartesian product of setsLevel 24Easy MathematicsIf \(A=\{0,1,2,3\}\) and \(B=\{0,1,4,9\}\), how many ordered pairs in \(A\times B\) satisfy \(b=a^2\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf A = {1, 2, 3} and B = {2, 4, 6}, which ordered pairs in A × B satisfy b = 2a?Class 11Relations and FunctionsCartesian product of setsLevel 24Easy MathematicsIf (A={1,2}) and (B={2,3}), what is (A\times B\cap B\times A)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A\times B={(1,2),(1,3),(4,2),(4,3)}), what are (A) and (B)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsWhich statement is generally not true for Cartesian products of sets?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium MathematicsIf \(A=\{0,1,2,3\}\) and \(B=\{0,1,4,9\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(y=x^2\)?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert MathematicsIf A={1,2,3,4} and B={1,2,3,4}, how many ordered pairs (x,y) in A×B satisfy x|y?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium MathematicsIf A={0,1,2} and B={1,2,3}, how many ordered pairs (x,y) in A×B satisfy x<y?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium MathematicsIf A×B={(1,3),(1,4),(2,3),(2,4)}, what are A and B?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium MathematicsIf (A={1,2,3}) and (B={2,4,6}), which is not an element of (A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert MathematicsIf \(A=\{1,2,3,4\}\), \(B=\{1,2,3,4,5\}\), and \(R=\{(a,b): b-a\in\{0,2\}\}\), where \(a\in A\) and \(b\in B\), what is the value of \(|R|\)?Class 11Relations and FunctionsRelationsLevel 22Expert