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Relations And Functions

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

MathematicsWhich of the following correctly describes the domain and range of the real-valued function \(f(x)=\frac{x^2+1}{x^2-1}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Hard MathematicsConsider R={(x,y)∈N×N:y=x+2} from N to N. Which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsIf f:A→B, A={1,2,3,4}, B={0,1,2}, and f(x) gives the remainder when x is divided by 3, what is f(4)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsGiven f:{1,2,3}→{1,2,3,4,5} with f(x)=2x, why is this function not well-defined?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsWhich of the following relations from \(A=\{1,2,3\}\) to \(B=\{a,b\}\) is not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Hard MathematicsThe relation R={(x,y)∈A×B:y=x+1}, where A={1,2,3} and B={2,3,4,5}, is of which type?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Hard MathematicsLet A={−2,−1,0,1,2} and f:A→Z be defined by f(x)=x²−1. What is the range of f?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Medium MathematicsIf f:A→B, A={1,2,3,4}, B={0,1}, and f(x)=0 for even x while f(x)=1 for odd x, what is f⁻¹({0})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Medium MathematicsIf f:{0,1,2}→{0,1,2,3,4} is defined by f(x)=x², what is the graph of f as a set of ordered pairs?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Medium MathematicsIf \\(A=\{1,2,3,4,5\}\\) and \\(B=\{0,1\}\\), and in relation \\(R\\), \\(y=0\\) for even \\(x\\) and \\(y=1\\) for odd \\(x\\), is \\(R\\) a function from \\(A\\) to \\(B\\)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Hard MathematicsWhich of the following relations from \(A=\{1,2,3,4\}\) to \(B=\{1,2,3,4\}\) is the identity function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Hard MathematicsIf \(f=\{(x,y): y=\frac{x+1}{2},\ x\in\{1,3,5,7\}\}\), what is the range of \(f\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 28Hard MathematicsIf \(f:\{1,2,3,4\}\to\{1,2,3,4\}\) and \(f(x)=5-x\), what is the value of \(f(2)\)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf f:{1,2,3,4}→{1,4,9,16} is defined by f(x)=x², what is the preimage of 9?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf f:{1,2,3}→{1,8,27} is defined by f(x)=x³, which are the ordered pairs of f?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf f(a)=b, what is a called for b?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf A={1,2,3} and f(x)=x²+1, to which codomain can f be considered a function from A?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf the relation \(R=\{(x,y)\mid y=2x+1,\ x\in\{0,1,2\}\}\), which of the following is the set of ordered pairs in \(R\)?Class 11Relations and FunctionsRelationsLevel 30Medium MathematicsIf the function \(h:\{1,2,3,4,5\}\to\{0,1\}\) is defined by \(h(x)=0\) when \(x<3\) and \(h(x)=1\) when \(x\geq 3\), what is the value of \(h(3)\)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf \(f=\{(2,1),(4,2),(6,3),(8,4)\}\), what is the domain of \(f\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 30Medium