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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।

MathematicsWhat is the coefficient of x⁴ in (1 + x)¹⁰?Class 11SetsRoster Form from Set-Builder FormLevel 66EasyMathematicsFrom digits (1) to (9), (3) distinct digits are chosen only as a digit-set. How many sets are possible?Class 11Permutations and CombinationsCombinationsLevel 61ExpertMathematicsIf (A=\emptyset) and (B=\emptyset), what is the number of functions from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28ExpertMathematicsIf \(f(x)=|x|\) and \(A=\{-2,0,3\}\), what is the image set \(f(A)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 30EasyMathematicsIf (|A|=3) and (|B|=2), how many functions can be defined from set (A) to set (B)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28EasyMathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a+b) is even. What is the nature of (R)?Class 11Relations and FunctionsRelationsLevel 27ExpertMathematicsLet \(A=\{1,2,3,4\}\), 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 26ExpertMathematicsFor 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 26ExpertMathematicsOn 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 26ExpertMathematicsFor 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 26ExpertMathematicsLet \(A=\{1,2,3,4\}\) 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 26ExpertMathematicsIf A = {1, 2, 3}, B = {x, y}, and R = {(1, x), (2, x), (3, y)}, what is the range of R?Class 11Relations and FunctionsRelationsLevel 26ExpertMathematicsWhich of the following ordered pairs belongs to the identity relation I_A defined on A = {1, 2, 3, 4}?Class 11Relations and FunctionsRelationsLevel 26ExpertMathematicsIf (A={1,2,3}), how many relations are possible on (A)?Class 11Relations and FunctionsRelationsLevel 26ExpertMathematicsOn 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 26ExpertMathematicsIf \(R\subseteq A\times B\) and \(R=\{(1,4),(2,4),(2,5),(3,6)\}\), what is the domain of \(R\)?Class 11Relations and FunctionsRelationsLevel 26ExpertMathematicsOn the set \(A=\{1,2,3,4,5,6\}\), let \(R=\{(a,b):a-b\equiv 0\pmod{5}\}\). What is the equivalence class \([1]\) under this relation?Class 11Relations and FunctionsRelationsLevel 25ExpertMathematicsIf an equivalence relation \(R\) defined on the set \(A=\{1,2,3,4\}\) has equivalence classes \(\{1,4\}\) and \(\{2,3\}\), how many ordered pairs does \(R\) contain?Class 11Relations and FunctionsRelationsLevel 25ExpertMathematicsA relation R is defined on the set A = {1, 2, 3, 4} by R = {(a, b) : a + b = 6}, where a, b ∈ A. How many ordered pairs does R contain?Class 11Relations and FunctionsRelationsLevel 25ExpertMathematicsIf \(R=\{(1,2),(2,3),(1,3)\}\) and \(S=\{(2,1),(3,2),(3,1)\}\), what is \(S\) in relation to \(R\)?Class 11Relations and FunctionsRelationsLevel 25Expert