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

MathematicsIf first (r) objects are selected and then arranged in order then which formula for (^{n}P_r) is naturally obtained?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHard MathematicsThe relation (R={(x,y):y^2=2x,\ x\in{2,8,18},\ y\in{-6,-4,-2,2,4,6}}) is considered from the given domain to the codomain. What is the correct conclusion?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsThe relation R = {(x,y): |x-y| = 1, x ∈ {1,2,3}, y ∈ {1,2,3,4}} is considered from X to Y. Why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf R = {(x, y): x = |y|, x ∈ {0, 1, 2}, y ∈ {−2, −1, 0, 1, 2}} is considered from X = {0, 1, 2} to Y = {−2, −1, 0, 1, 2}, what is R?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsWhich statement is correct about all functions?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsWhen is a relation from (A) to (B) called a function?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf \(A=\{1,2\}\) and \(B=\{3,4,5\}\), how many subsets does the set \(A\times B\) have in total?Class 11Relations and FunctionsCartesian product of setsEasy MathematicsIf A = {1,2,3,4,5} and R = {(x,y): y = 2x}, where x,y ∈ A, what is the range of R?Class 11Relations and FunctionsRelationsMedium MathematicsIf (A={1,2,3,4,5,6}), (B={1,2,3,4,5,6}), and (R={(a,b):a+b=7}), how many subsets of (R) contain at least one pair whose first component is (1)?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf (A={1,2,3,4}), (B={1,2,3,4}), and (R={(a,b):a+b\le5}), how many pairs in (R) have their inverse pair also in (R)?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf (A={1,2,3,4,5}), (B={1,2,3,4,5}), and (R={(a,b):a+b=6}), how many pairs are in (R\circ R)?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf A = {1,2,3}, B = {1,2,3,4}, and S = {(a,b) : b > a + 1} ⊆ A × B, how many elements are in S?Class 11Relations and FunctionsCartesian product of setsMedium MathematicsIf A = {1,2,3}, B = {1,2,3}, and R = {(a,b) : a ≤ b}, how many elements are in R?Class 11Relations and FunctionsCartesian product of setsMedium MathematicsIf (A={1,2,3,4}) and (B={1,2,3,4,5}), how many pairs ((a,b)) in (A\times B) have (b) as a multiple of (a)?Class 11Relations and FunctionsCartesian product of setsHard MathematicsIf (A={1,2,3}) and (B={2,3,4,5}), how many pairs ((a,b)) in (A\times B) have (a) dividing (b)?Class 11Relations and FunctionsCartesian product of setsHard MathematicsIf (A={1,2,3,4}) and (B={2,3,4,5}), how many pairs ((a,b)) in (A\times B) have (a) dividing (b)?Class 11Relations and FunctionsCartesian product of setsHard MathematicsIf A = {0, 1, 2}, B = {3, 4}, and R = {(0, 3), (2, 4)}, then R is a subset of which set?Class 11Relations and FunctionsCartesian product of setsMedium MathematicsIf (A={2,4,6}) and (B={1,3}), which subset is a relation from (A) to (B)?Class 11Relations and FunctionsCartesian product of setsMedium MathematicsIf (A={1,2,3}) and (B={2,4,6}), which pair in (A\times B) will not belong to the relation (R={(x,y):y=2x})?Class 11Relations and FunctionsCartesian product of setsMedium MathematicsIf (A={1,2,3}) and (B={a,b}), which pair belongs to the relation (R={(x,y):x\in A,,y\in B,,x\text{ is odd}})?Class 11Relations and FunctionsCartesian product of setsMedium