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Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsLet (f:\mathbb{R}\to\mathbb{R}), where (f(x)=ax+b). What is the necessary and sufficient condition for (f) to be onto?Class 12Relations and FunctionsReflexive relationExpertMathematicsIf (f:\mathbb{R}\to(-1,1)), (f(x)=\frac{x}{\sqrt{1+x^2}}), choose the correct option.Class 12Relations and FunctionsOnto functionMediumMathematicsWhich is the correct example showing that (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-1), is not one-one?Class 12Relations and FunctionsOne-one functionExpertMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sqrt[3]{x}), what is (f)?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}2x+1,&x<1\x^2+2,&x\geq1\end{cases}), which statement about the range of (f) is correct?Class 12Relations and FunctionsFunctionsExpertMathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\ln(1+x^2)), what is the range of (f)?Class 12Relations and FunctionsFunctionsExpertMathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=|x-1|+|x+1|), what is the range of (f)?Class 12Relations and FunctionsFunctionsExpertMathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3+x+5), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsExpertMathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^5+x), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{1}{1+x^2}), what is the range of (f)?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3+x), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHardMathematicsIf (f(x)=\frac{1}{\sqrt{5-x}}), what is the real domain?Class 12Relations and FunctionsIntroduction to RelationsMediumMathematicsIf (f(x)=\frac{1}{\sqrt{x+2}}), what is the real domain?Class 12Relations and FunctionsFunctionsMediumMathematicsIf (f(x)=\frac{1}{\sqrt{x-1}}), what is the real domain?Class 12Relations and FunctionsFunctionsMedium

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