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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={1,2,3,4,5,6} and B={1,2,3,4,5,6}, how many ordered pairs (a,b) in A×B satisfy a+b=9 or ab=12?Class 11Relations and FunctionsCartesian product of setsLevel 22Hard MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{1,2,3,4,5\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(a+b\) is even and \(ab\) is divisible by \(3\)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf \(A=\{0,1,2,3,4\}\), \(B=\{0,1,2,3,4\}\), and \(R=\{(a,b)\in A\times B: a^2\equiv b\pmod{5}\}\), what is the value of \(|R|\)?Class 11Relations and FunctionsRelationsLevel 22Expert MathematicsIf A = {1, 2, 3, 4}, B = {1, 2, 3, 4, 5, 6}, and R = {(a, b) ∈ A × B : b = 2a or b = 3a}, what is the value of |R|?Class 11Relations and FunctionsRelationsLevel 22Expert MathematicsIf \(A=\{1,2,3\}\) and \(B=\{1,2,3,4,5,6\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(b\) is a multiple of \(a\) and \(b\ne a\)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf A={1,2,3,4,5}, B={1,2,3,4,5}, and R={(a,b): a+b=7}, which of the following ordered pairs must belong to R⁻¹?Class 11Relations and FunctionsRelationsLevel 22Expert MathematicsIf A = {1, 2, 3, 4}, B = {1, 2, 3, 4, 5}, and R = {(a, b) : a² < b}, how many ordered pairs are in R, that is, what is |R|?Class 11Relations and FunctionsRelationsLevel 22Expert MathematicsIf A={1,2,3,4}, B={1,2,3,4}, and U=A×B, how many ordered pairs (a,b) in U satisfy a<b or a+b=5?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf A={1,2,3,4,5} and B={1,2,3,4,5}, how many ordered pairs (a,b) in A×B satisfy a+b=6 or a=b?Class 11Relations and FunctionsCartesian product of setsLevel 22Medium MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{2,3,4,5,6,7\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy both conditions: \(a+b\) is prime and \(a<b\)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{2,4,6,8,10\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a+b=11\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {2, 3, 4} and B = {5, 6, 7}, which of (3, 6), (5, 6), and (4, 7) is not in A × B?Class 11Relations and FunctionsCartesian product of setsLevel 24Easy MathematicsIf A = {2,4} and A × C = {(2,1),(2,3),(2,5),(4,1),(4,3),(4,5)}, what is C?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1,2,3,4,5,6} and B = {1,2,3,4,5,6}, how many pairs (a,b) in A × B satisfy a ≠ b?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{2,3,4,5\}\) and \(B=\{1,2,3,4,5\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(b-a\) is even?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{1,2,3,4,5,6,7\}\) and \(B=\{0,1,2,3\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a-2b=1\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1, 2, 3, 4, 5} and B = {3, 6, 9, 12}, how many ordered pairs (a, b) in A × B satisfy b = 3a?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{0,1,2,3,4\}\) and \(B=\{0,1,2,3\}\), how many ordered pairs \((a,b)\) in \(A\times B\) have \(a+b\) even?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{2,4,6\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a+b=9\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{a,b\}\) and \(B=\{1,2,3,4\}\), how many ordered pairs are there in \(B\times A\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard