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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 (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 relationExpert 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 relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) has range ([3,\infty)) and (f(x)=(x-a)^2+b), which pair below is possible?Class 11Relations and FunctionsFunctions as a special kind of relationExpert 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 relationExpert 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 relationExpert 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 relationHard 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 relationHard