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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।

MathematicsIn the function \(f:A\to\mathbb{R}\), what does the set \(A\) represent?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsWhich of the following functions is defined for every real number?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsWhich of the following functions gives a real value for every real number x?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsWhat is the domain of the function \(f(x)=\frac{2}{x+1}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsIf (f(x)=4-x), what is the value of (f(0))?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 31Easy MathematicsFor real numbers, what is the minimum value of the function \(f(x)=|x-2|\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsWhat is the real domain of the function \(f(x)=\frac{1}{x^2+1}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsWhat is the range of the function \(f(x)=2x^2\) when \(x\in\mathbb{R}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsWhat is the domain of the function \(f(x)=\frac{1}{x-4}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsWhat is the range of f(x) = 5?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsWhat is the real domain of the function \(f(x)=\sqrt{x}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsWhat is the range of f(x) = x² when the domain is ℝ?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsIf f: ℝ → ℝ is defined by f(x) = x² + 1 for x ≤ −1 and f(x) = 2 − x for x > −1, what is f(−1)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Easy MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{a,b,c,d,e,f\}\), how many functions from \(A\) to \(B\) have distinct images for all five elements of \(A\)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Expert MathematicsIf f: ℝ → ℝ is given by f(x) = (x² + 9)/(x² + 3), what is the range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Medium MathematicsIf f: ℝ → ℝ is given by f(x) = 3x − 2 for x < 4 and f(x) = x² − 10 for x ≥ 4, what is f(4)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf A = {1,2,3,4,5}, B = {1,2,3,4,5}, and R = {(x,y): x + y is odd}, why is R not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf \(A=\{1,2,3,4,5,6,7\}\) and \(B=\{0,1\}\), how many functions from \(A\) to \(B\) have exactly 4 elements of \(A\) mapped to 1?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Expert MathematicsIn which option is the relation not a function from A = {1,2,3,4,5} to B = {p,q,r}, even though every element of A appears as a first component?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf A = {r, s, t, u} and B = {1, 2, 3, 4}, how many functions from A to B have range exactly {1, 3, 4}?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard