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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।

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={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 \(A=\{1,2,3,4\}\) 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, 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, -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 \(A=\{1,2,3\}\) and \(B=\{4,5\}\), how many elements does \(\mathcal{P}(A\times B)\) contain?Class 11Relations and FunctionsCartesian product of setsLevel 21Easy MathematicsIf A={1,2,3}, B={1,2,3}, and U=A×B, how many pairs in U satisfy x≠y?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium MathematicsIf \(n(A\times B)=n(B\times C)=30\), \(n(B)=5\), and \(A,B,C\) are non-empty finite sets, what is the value of \(n(A\times C)\)?Class 11Relations and FunctionsCartesian product of setsLevel 11Medium MathematicsIf the Cartesian product \(A\times B\) has 24 elements and set \(A\) has 2 more elements than set \(B\), what is the value of \(n(A)\)?Class 11Relations and FunctionsCartesian product of setsLevel 11Medium MathematicsIf A = {1, 2, 3}, B = {3, 4}, and C = {2, 3, 4}, how many elements does \((A\cap C)\times(B\cap C)\) have?Class 11Relations and FunctionsCartesian product of setsLevel 11Medium MathematicsWhich statement is generally not true for Cartesian products of sets?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium MathematicsIf A={1,2}, B={3,4}, and C={5}, which element belongs to (A×B)×C?Class 11Relations and FunctionsCartesian product of setsLevel 23Hard 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