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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।

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 (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\sqrt{x^2-6x+10}), what is the range?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 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 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}) 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 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 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 MathematicsIf (R={(x,y)\in\mathbb{R}\times\mathbb{R}:y=\sqrt{x}}) is considered from (\mathbb{R}) to (\mathbb{R}), why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Hard MathematicsIf one tries to define (f:\mathbb{R}\to\mathbb{R}) by (f(x)=\sqrt{x-1}), why is it not a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf one tries to define (f:\mathbb{R}\to\mathbb{R}) by (f(x)=\sqrt{x}), why will it not be considered a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Medium MathematicsIf \(A=\{1,4,9\}\) and the function \(f(x)=\sqrt{x}\), what is \(f(A)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Easy