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One One Function

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

MathematicsWhat is the correct answer for \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to\mathbb{R}\), \(f(x)=\sin x\)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf \(f:[-\pi,\pi]\to\mathbb{R}\), \(f(x)=\cos x\), choose the correct option.Class 12Relations and FunctionsOne-one functionHard MathematicsWhat is the correct statement about (f:[0,\pi]\to\mathbb{R}), (f(x)=\cos x)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[-1,1]\to\mathbb{R}), (f(x)=\arcsin x), what is (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsWhich option is correct for (f:\mathbb{R}\to\mathbb{R}), (f(x)=\arctan x)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^5-x), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionHard MathematicsWhat is the correct answer about the one-one nature of (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^5+x)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[0,\infty)\to\mathbb{R}), (f(x)=x^4+x^2), which statement is correct for (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsChoose the correct option about (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4+x^2).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\setminus{2}\to\mathbb{R}), (f(x)=\frac{x^2-4}{x-2}), what is the correct conclusion about the one-one nature of (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsWhat is the correct statement for (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{2}), (f(x)=\frac{2x+3}{x-1})?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[1,\infty)\to\mathbb{R}), (f(x)=x+\frac{1}{x}), choose the correct option for (f).Class 12Relations and FunctionsOne-one functionHard MathematicsWhich statement is correct about \(f:(0,\infty)\to\mathbb{R}\), \(f(x)=x+\frac{1}{x}\)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln x), choose the correct answer for (f).Class 12Relations and FunctionsOne-one functionHard MathematicsWhat is the correct option for (f:\mathbb{R}\to\mathbb{R}), (f(x)=e^x-x)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=e^x+x), which statement about the one-one nature of (f) is correct?Class 12Relations and FunctionsOne-one functionHard MathematicsChoose the correct option for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-2x+4).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:(-\infty,1]\to\mathbb{R}), (f(x)=x^2-2x+4), what is (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsWhat is the correct statement for (f:[1,\infty)\to\mathbb{R}), (f(x)=x^2-2x+4)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x), which option is correct about (f)?Class 12Relations and FunctionsOne-one functionHard