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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।

MathematicsThe function \(f:\mathbb{R}\to\mathbb{R}\) is defined by \(f(x)=x+1\) if \(x<0\) and \(f(x)=x^2\) if \(x\ge0\). What is the correct statement?Class 12Relations and FunctionsOne-one functionLevel 22Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\frac{x^2-1}{x^2+1}), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionLevel 22Expert MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) and \(f(x)=\frac{x}{1+x^2}\), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionLevel 22Expert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=|n|), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionLevel 22Expert MathematicsIf (f:\mathbb{R}\to\mathbb{Z}) and (f(x)=\lfloor x\rfloor), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionLevel 22Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=e^x+e^{-x}), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionLevel 22Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\ln(x^2+1)), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionLevel 22Expert MathematicsIf \(f:(0,\infty)\to\mathbb{R}\) and \(f(x)=x+\frac{1}{x}\), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionLevel 22Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-3x), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionLevel 22Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+3x^2), which is the correct proof that (f) is not one-one?Class 12Relations and FunctionsOne-one functionLevel 24Hard MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) and \(f(x)=|x+1|+|x-1|\), is (f) one-one?Class 12Relations and FunctionsOne-one functionLevel 24Hard MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=n^2), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionLevel 24Hard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2-4x+7), which option shows that (f) is not one-one?Class 12Relations and FunctionsOne-one functionLevel 24Hard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=7), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionLevel 24Hard MathematicsIf (f={(1,4),(2,5),(3,5)}), where (f:{1,2,3}\to{4,5,6}), choose the correct statement.Class 12Relations and FunctionsOne-one functionLevel 24Hard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^2) if (x<0) and (f(x)=x+1) if (x\ge0). What is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionLevel 24Hard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^4+1), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionLevel 24Hard MathematicsIf (f:[-2,2]\to\mathbb{R}) and (f(x)=x^2), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionLevel 24Hard MathematicsIf (f:\mathbb{R}\to\mathbb{Z}) and (f(x)=\lfloor x\rfloor), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionLevel 24Hard MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) and \(f(x)=\frac{x}{1+x^2}\), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionLevel 24Hard