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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।

MathematicsWhich pair is compulsory in the transitive closure of a relation (R), if (R) contains ((1,2)) and ((2,4))?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (A={1,2,3}), relation (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}) is given. Which familiar order does this relation resemble?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (A={1,2,3}), relation (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}) is given. Which minimum ordered pair must be added to make (R) symmetric?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsIf (A) has (m) elements and (B) has (n) elements, how many relations are possible from (A) to (B)?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsIf A = {1,2,3,4} and R = {(a,b) : a+b=5}, which pair belongs to R∘R?Class 11Relations and FunctionsRelationsLevel 26Hard MathematicsLet \(A=\{1,2,3,4\}\), and define a relation \(R\) on ordered pairs of elements of \(A\) such that \((a,b)\in R\) if and only if \(a+b\) is prime. Which of the following ordered pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf A = {1,2,3,4,5} and R = {(a,b) : a = 2b}, how many pairs are in R?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsFor the relation R={(a,b)∈A×A : a+b=7} defined on A={1,2,3,4}, what is its range?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf (R) is transitive, ((1,4)\in R), and ((4,6)\in R), which pair must be in (R)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf \((2,5)\in R\) and the relation \(R\) is symmetric, which of the following pairs must also belong to \(R\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsOn the set \(A=\{1,2,3\}\), let \(R=\{(1,1),(2,2),(3,3),(1,2),(2,1)\}\). What is the equivalence class \([1]_R\) of \(1\) with respect to \(R\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsLet \(A=\{1,2,3,4\}\) and \(R=\{(a,b)\in A\times A:a^2+b^2=25\}\). How many ordered pairs are in the relation \(R\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsFor the relation \(R=\{(a,b)\in A\times A:a+b=6\}\) defined on \(A=\{1,2,3,4\}\), what is its domain?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsLet \(A=\{1,2,3,4\}\) and define the relation \(R=\{(a,b)\in A\times A:a+b\le 5\}\). How many ordered pairs does \(R\) contain?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsWhich of the following ordered pairs belongs to the identity relation I_A defined on A = {1, 2, 3, 4}?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a<b}), how many ordered pairs are in (R)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsOn the set \(A=\{1,2,3,4\}\), the relation \(R=\{(a,b):a\mid b\}\) is defined. Which of the following ordered pairs does not belong to \(R\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf the relation \(R=\{(1,4),(2,4),(2,5),(3,6)\}\), what is the range of \(R\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf \(R\subseteq A\times B\) and \(R=\{(1,4),(2,4),(2,5),(3,6)\}\), what is the domain of \(R\)?Class 11Relations and FunctionsRelationsLevel 26Expert MathematicsIf (A={1,2,3,4}) and (R={(a,b)\in A\times A:a+b=5}), then how many elements are in (R)?Class 11Relations and FunctionsRelationsLevel 26Expert