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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:[0,\infty)\to\mathbb{R}), (f(x)=\sqrt[3]{x}), why is it not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:[0,\frac{\pi}{3}]\to[-1,1]), (f(x)=\cos x), why is it not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:[0,\frac{\pi}{6}]\to[0,1]), (f(x)=\sin x), why is it not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:[0,\pi]\to[-1,1]), (f(x)=\sin x), why is (f) not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:[0,\frac{\pi}{2}]\to[-1,1]), (f(x)=\cos x), why is it not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:[0,\pi]\to[-1,1]), (f(x)=\cos x), what is the correct statement?Class 12Relations and FunctionsOnto functionEasy MathematicsOn which domain restriction will (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+2x+2), become decreasing and one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:(-\infty,5]\to[0,\infty)), (f(x)=\sqrt{5-x}), what is the correct conclusion about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[2,\infty)\to\mathbb{R}), (f(x)=x^2-4x+6), choose the correct statement.Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:(-\infty,0]\to[0,\infty)), (f(x)=x^2), which statement is correct about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\cos x), on which interval is (f) one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x), on which interval is (f) one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[a,\infty)\to\mathbb{R}) and (f(x)=x^2), which condition on (a) is necessary and sufficient for (f) to be one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:(-\infty,0]\to[0,\infty)) and (f(x)=x^2), what is the nature of (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[0,\infty)\to[1,\infty)) and (f(x)=\sqrt{x^2+1}), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:(-\infty,2]\to[0,\infty)) and (f(x)=|x-2|), what is the correct conclusion about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[2,\infty)\to[0,\infty)) and (f(x)=|x-2|), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[0,\infty)\to\mathbb{R}) and (f(x)=x^4+x^2), what is the nature of (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[0,\infty)\to\mathbb{R}) and (f(x)=\ln(x^2+1)), what is the correct conclusion about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[2,\infty)\to\mathbb{R}) and (f(x)=x^2-4x+5), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionHard