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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।

MathematicsIf (f:A\to B) is one-one and (A) has (5) elements, what is the minimum number of elements required in (B)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[-1,\infty)\to\mathbb{R}), (f(x)=x^2+2x+5), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionHard MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\), \(f(x)=2x^2+3x+1\), then (f) is not one-one. Which pair is correct?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[0,\infty)\to\mathbb{R}), (f(x)=x^4), what is the one-one status of (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionHard MathematicsWhat is the correct statement about (f:[2,\infty)\to\mathbb{R}), (f(x)=|x-2|)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x-2|), then (f) is not one-one. Which pair gives a correct proof?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:(0,\infty)\to\mathbb{R}), (f(x)=\log x), choose the correct option about (f).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=e^x), which statement is correct about (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\cos x), then (f) is not one-one. Which example is correct?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[0,\pi]\to\mathbb{R}), (f(x)=\cos x), what is the one-one status of (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsChoose the correct statement 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:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=7-2x), what is the one-one nature of (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-x), then (f) is not one-one. Which reason is correct?Class 12Relations and FunctionsOne-one functionHard MathematicsWhich statement is correct about the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[2,\infty)\to\mathbb{R}), (f(x)=x^2-4x+7), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-4x+7), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}), (f(x)=\frac{1}{x^2}), which statement is correct?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:(0,\infty)\to\mathbb{R}), (f(x)=\frac{1}{x}), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionHard