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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 = {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={a,b,c}) and (B={1,2}), which pair belongs to (B\times A)?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert MathematicsIf (A={1,2,3,4}), (B={1,2,3,4}), and (S={(x,y)\in A\times B:x+y=5}), what is (S)?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert MathematicsIf (A={1,2,3}), (B={1,2,3}), and (R={(x,y)\in A\times B:x+y\text{ is even}}), what is (n(R))?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert 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={2,4,6}) and (B={1,2,3,4}), how many pairs ((x,y)) in (A\times B) satisfy (x-y) is positive?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert MathematicsIf (A={1,2,3}) and (B={2,3,4}), how many pairs ((x,y)) in (A\times B) have (xy) even?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={1,2}), (B={3}) and (C={4,5}), how many elements are in (A\times(B\cup C))?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert MathematicsIf (A\times B=\varnothing), which conclusion is always true?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert 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={4,5}), what is the number of subsets of (A\times B) having exactly (2) ordered pairs?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert MathematicsIf (n(A)=4) and (n(B)=5), how many relations from (A) to (B) are possible?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert MathematicsIf (n(A)=7), how many pairs in (A\times A) have distinct coordinates?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert MathematicsIf (n(A)=6), how many pairs in (A\times A) have equal coordinates?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert MathematicsIf (A=[1,3]) and (B=(2,5)), which point is in (A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert MathematicsIf (A\subseteq C) and (B\subseteq D), which relation is definitely true?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert MathematicsIf (A={1,2,3,4}), (B={a,b}), (C={2,3,5}) and (D={b,c}), how many elements are in ((A\times B)\cap(C\times D))?Class 11Relations and FunctionsCartesian product of setsLevel 23Expert