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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।

MathematicsWhich condition is necessary for a relation from set A to set B to be called a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 38Medium MathematicsIf the function \(f:\{1,2,3,4,5,6,7,8,9\}\to\{0,1\}\) is defined by \(f(n)=1\) when \(n\) is divisible by \(3\), and \(f(n)=0\) otherwise, what is \(f^{-1}(\{1\})\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 30Expert MathematicsIf A = {1, 2, 3, 4}, B = {1, 2, 3, 4}, and R = {(x, y): x − y is odd}, why is R not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsIf \(f:\{1,2,3,4,5,6\}\to\{0,1\}\) is defined by \(f(n)=0\) when \(n\) is divisible by \(3\), and \(f(n)=1\) otherwise, what is \(f^{-1}(\{0\})\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 28Expert MathematicsIf \(f:\{0,1,2,3\}\to\{0,1,2,3\}\) is defined such that \(f(x)\) is the remainder obtained when \(x\) is divided by 3, which of the following statements is correct?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 30Hard MathematicsIf f: A → B has |A| = 5 and |B| = 2, the number of all relations is 2¹⁰. How many of these are functions?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf (f:A\to B) is a function, which is a necessary condition for its graph as a relation?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf A = {1, 2, 3}, B = {0, 1}, and R = {(x, y): y ≡ x (mod 2)}, what is correct about R?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsThe relation (R={(x,y):x=y^2,\ x\in{0,1,4},\ y\in{0,1,2}}) is considered from (X={0,1,4}) to (Y={0,1,2}). What is the correct conclusion?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsThe relation \(R=\{(x,y): y^2=x,\ x\in X,\ y\in Y\}\) is defined from \(X=\{1,4,9\}\) to \(Y=\{-3,-2,-1,1,2,3\}\). Why is this relation not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf (A={1,2,3}) and (B={a,b}), which statement about the relation (R={(1,a),(2,b),(3,a),(2,a)}) is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf \(f:A\to B\) is a function and \(f=\{(a,1),(b,2),(c,1),(d,3)\}\), what is \(A\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 28Hard MathematicsWhich relation from A={1,2,3} to B={p,q} represents a function from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Hard MathematicsIf \(f(x)=|x|\) and \(A=\{-2,0,3\}\), what is the image set \(f(A)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 30Easy MathematicsIf R={(1,1),(2,2),(2,3)}, why is R not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Easy MathematicsIf \(f:A\to B\) is a function and \(x\in A\), what is \(f(x)\) called?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Easy MathematicsIf the domain of the function \(f(x)=x+1\) is \(A=\{2,4,6\}\), which of the following ordered pairs belongs to the graph of the function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Easy MathematicsIf a diagram has p→1, p→2, and q→3, what is the correct conclusion?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Easy MathematicsIf \(f(x)=x+7\) and \(f(a)=12\), what is the value of \(a\)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Easy MathematicsIf \(f=\{(2,4),(3,9),(5,25)\}\), which rule correctly defines \(f\)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Easy