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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।

MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x|x^2), which option is correct for (f)?Class 12Relations and FunctionsOne-one functionHardMathematicsChoose the correct option about (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^2+n).Class 12Relations and FunctionsOne-one functionHardMathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionHardMathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x-2|+|x+2|), choose the correct option for (f).Class 12Relations and FunctionsOne-one functionHardMathematicsWhich statement is correct for (f:\mathbb{R}\to[0,\infty)), (f(x)=e^{x^2})?Class 12Relations and FunctionsOne-one functionHardMathematicsChoose the correct option about (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x+x^2).Class 12Relations and FunctionsOne-one functionHardMathematicsWhy is (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-12x), not one-one?Class 12Relations and FunctionsOne-one functionHardMathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax^2+bx+c) and (a\neq0), what is the correct statement about (f) on all of (\mathbb{R})?Class 12Relations and FunctionsOne-one functionHardMathematicsThe function (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x^2,&x<0\x,&x\geq0\end{cases}). Choose the correct statement for (f).Class 12Relations and FunctionsOne-one functionHardMathematicsIf (f:[0,2\pi]\to\mathbb{R}), (f(x)=\sin x), which statement is correct for (f)?Class 12Relations and FunctionsOne-one functionHardMathematicsIf \(f:[-\pi,\pi]\to\mathbb{R}\), \(f(x)=\cos x\), choose the correct option.Class 12Relations and FunctionsOne-one functionHardMathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^5-x), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionHardMathematicsChoose the correct option about (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4+x^2).Class 12Relations and FunctionsOne-one functionHardMathematicsWhich statement is correct about \(f:(0,\infty)\to\mathbb{R}\), \(f(x)=x+\frac{1}{x}\)?Class 12Relations and FunctionsOne-one functionHardMathematicsWhat is the correct option for (f:\mathbb{R}\to\mathbb{R}), (f(x)=e^x-x)?Class 12Relations and FunctionsOne-one functionHardMathematicsChoose the correct option for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-2x+4).Class 12Relations and FunctionsOne-one functionHardMathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x), which option is correct about (f)?Class 12Relations and FunctionsOne-one functionHardMathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=(x+5)^2), choose the correct option.Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-x), which statement is correct for (f)?Class 12Relations and FunctionsOne-one functionMediumMathematicsIs the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=\cos x), one-one or not?Class 12Relations and FunctionsOne-one functionMedium

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