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Rational 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 statements is correct about the graph of the function \(y=\frac{1}{x^2}\)?Class 11Relations and FunctionsGraphs of standard functionsExpert MathematicsWhich value of \(x\) is excluded from the domain of the graph of the function \(y=\frac{x+2}{x-1}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsWhat is the horizontal asymptote of the graph of (y=2/(x+1)-3)?Class 11Relations and FunctionsGraphs of standard functionsHard MathematicsWhat is the vertical asymptote of the graph of y = 1/(x − 4)?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsFor the function \(y=\frac{x}{|x|}\), at which value of \(x\) is it undefined?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsWhich of the following functions has a domain consisting only of positive real numbers?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the vertical asymptote of f(x) = 1/(x - 2)?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsWhat is the domain of the function f(x) = 1/(x − 2)²?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsFor the function \(f(x)=\frac{1}{x-3}\), which value of \(x\) is not allowed?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeEasy MathematicsWhich of the following functions has domain all real numbers and range \((0,1]\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsWhat is the range of f(x)=(x^2+1)/x?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsWhat is the domain of the function \(f(x)=\frac{\sqrt{25-x^2}}{x-3}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf the domain of the function \(f(x)=\frac{1}{x^2-k}\) is \(\mathbb{R}\setminus\{-5,5\}\), what is the value of \(k\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsWhat is the domain of the function \(f(x)=\frac{1}{|x-4|-1}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsWhat is the domain of f(x)=1/√(x^2−2x−8)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the range of the function \(f(x)=\frac{x^2+4x+8}{x^2+4x+5}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf the domain of the function \(f(x)=\frac{1}{x^2-a}\) is \(\mathbb{R}\setminus\{-3,3\}\), what is the value of \(a\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsWhat is the maximum value of the function \(f(x)=\frac{1}{x^2-6x+10}\), where \(x\in\mathbb{R}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf the domain of the function \(f(x)=\frac{1}{x-a}\) is \(\mathbb{R}\setminus\{5\}\), what is the value of \(a\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsWhat is the range of the function \(f(x)=\frac{|x|}{1+|x|}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert