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Set Theory

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsHow many subsets with at least (6) elements does a set of (8) elements have?Class 11Permutations and CombinationsCombinationsExpert MathematicsIf a set has \(n\) elements, which expression gives the number of its subsets containing at least one element?Class 11Permutations and CombinationsCombinationsMedium MathematicsIf A = {1, 2, 3, 4} and R = {(a, b) : a + b < 5}, which of the following ordered pairs does not belong to R?Class 11Relations and FunctionsRelationsEasy MathematicsA relation R on a set A is called reflexive if which of the following condition is true?Class 11Relations and FunctionsRelationsEasy MathematicsIf \(A=\{1,2,3,4\}\) and \(R=\{(a,b):a<b\}\), which statement about \((2,4)\) is correct?Class 11Relations and FunctionsRelationsEasy MathematicsWhat type of relation is \(R=\{(1,1),(2,2),(3,3)\}\), defined on the set \(A=\{1,2,3\}\)?Class 11Relations and FunctionsRelationsEasy 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 setsExpert 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 setsExpert 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 setsExpert MathematicsIf A = {1, 2, 3, 4} and B = {2, 4, 6}, how many ordered pairs (a, b) in A × B satisfy a + b = 8?Class 11Relations and FunctionsCartesian product of setsHard MathematicsIf \(A=\{1,2,3\}\) and \(B=\{2,4,6,8\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(b=2a\)?Class 11Relations and FunctionsCartesian product of setsHard MathematicsIf \(A=[2,5]\) and \(B=\{3\}\), what is the geometric form of \(A\times B\)?Class 11Relations and FunctionsCartesian product of setsMedium MathematicsIf A={1,3,5} and B={2,6,10}, how many ordered pairs (x,y) in A×B satisfy y=2x?Class 11Relations and FunctionsCartesian product of setsMedium MathematicsIf \(A=\{1,2,4\}\) and \(B=\{1,2,4,8\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(y=2x\)?Class 11Relations and FunctionsCartesian product of setsMedium MathematicsIf A={0,1,2,3} and B={1,2,3}, how many ordered pairs (x,y) in A\times B satisfy x+y=4?Class 11Relations and FunctionsCartesian product of setsMedium MathematicsIf \(A=\{x\in\mathbb{Z}\mid -1\le x\le 1\}\) and \(B=\{0,1\}\), how many ordered pairs are in the Cartesian product \(A\times B\)?Class 11Relations and FunctionsCartesian product of setsMedium MathematicsIf \(A=\{1,2\}\) and \(B=\{3,4,5\}\), how many ordered pairs are there in \(A\times B\)?Class 11Relations and FunctionsCartesian product of setsMedium MathematicsIf P={0,4,8} and Q={1}, how many ordered pairs are in the Cartesian product P×Q?Class 11Relations and FunctionsCartesian product of setsEasy