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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।

MathematicsIf (R={(x,y):y=\frac{2}{x-1},\ x\in{0,1,2},\ y\in\mathbb{R}}) is considered from (X={0,1,2}) to (\mathbb{R}), what is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Expert MathematicsFor the function defined by \(f(x)=\frac{1}{|x+1|-3}\), what is its largest possible real domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Expert MathematicsIf f: ℝ → ℝ is given by f(x) = (x² + 4)/(x² + 1), what is its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Hard MathematicsWhich option is not a valid function (f:\mathbb{R}\to\mathbb{R}) on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is to be defined by (f(x)=\frac{1}{x^2+ax+4}), which condition on (a) makes it a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Expert MathematicsA function (f:\mathbb{R}\to\mathbb{R}) is to be defined by (f(x)=\sqrt{5-ax^2}). What is the correct condition on (a) for it to be a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Expert MathematicsIf (R={(x,y):y=\frac{1}{x},\ x\in{-1,0,1},\ y\in\mathbb{R}}) is considered from (X={-1,0,1}) to (\mathbb{R}), what is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{1}{|x|-2}), what should be the correct domain?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) is defined by \(f(x)=\begin{cases}x+2,&x<0\\x^2,&x>0\end{cases}\), why is it not a function from \(\mathbb{R}\) to \(\mathbb{R}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 28Expert MathematicsWhich option will not define a function (f:\mathbb{R}\to\mathbb{R}) on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is to be defined by (f(x)=\frac{1}{x^2+ax+1}), which condition on (a) makes it a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert MathematicsA function (f:\mathbb{R}\to\mathbb{R}) is to be defined by (f(x)=\sqrt{ax^2+4}). What is the correct condition on (a) for it to be a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) has (f(x)=\frac{x-a}{x^2-4}), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is to be given by (f(x)=\sqrt{4-x^2}), which is the correct domain?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\frac{x^2-4}{x-2}), why is the claim that it is a function on all of (\mathbb{R}) false?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsWhich option gives a rule that is not a function from (\mathbb{R}) to (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf (A={1,2,3}), (B={1,2,3,4}), and (f(x)=x+1), which statement about (f) is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsFor which value does the rule (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt{ax+6}), define a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf f: ℝ → ℝ is given by f(x) = 1/(x² − 9), what should be the domain to make it a valid real function?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 30Medium MathematicsA function (f:\mathbb{R}\to\mathbb{R}) is claimed to be defined by (f(x)=\sqrt{x-2}). Which correction makes it a valid function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard