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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}) and (f(x)=x^3-x), choose the correct statement with reason.Class 12Relations and FunctionsOne-one functionLevel 24HardMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x-2|), is (f) one-one?Class 12Relations and FunctionsOne-one functionLevel 24HardMathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+3x^2), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionLevel 23HardMathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=2x+1) and (g:\mathbb{R}\to\mathbb{R}), (g(x)=x^2), is (g\circ f) one-one?Class 12Relations and FunctionsOne-one functionLevel 23HardMathematicsIf \(f:\mathbb{R}\to\mathbb{R}\), \(f(x)=2x^2+3x+1\), then (f) is not one-one. Which pair is correct?Class 12Relations and FunctionsOne-one functionLevel 23HardMathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionLevel 23HardMathematicsIf (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 functionLevel 23HardMathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-4x+7), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionLevel 23HardMathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}), (f(x)=\frac{1}{x^2}), which statement is correct?Class 12Relations and FunctionsOne-one functionLevel 23HardMathematicsFor the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=5), which option is correct?Class 12Relations and FunctionsOne-one functionLevel 23HardMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x|), which pair shows that (f) is not one-one?Class 12Relations and FunctionsOne-one functionLevel 23HardMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+1), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionLevel 23HardMathematicsWhy is (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-12x), not one-one?Class 12Relations and FunctionsOne-one functionLevel 22HardMathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^5-x), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionLevel 22HardMathematicsWhich statement is correct about \(f:(0,\infty)\to\mathbb{R}\), \(f(x)=x+\frac{1}{x}\)?Class 12Relations and FunctionsOne-one functionLevel 22HardMathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x), which option is correct about (f)?Class 12Relations and FunctionsOne-one functionLevel 22HardMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-x), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionLevel 24MediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^6+1), (f) is not one-one becauseClass 12Relations and FunctionsOne-one functionLevel 24MediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x+1|+3), is (f) one-one or not?Class 12Relations and FunctionsOne-one functionLevel 24MediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+x), choose the correct conclusion for (f).Class 12Relations and FunctionsOne-one functionLevel 24Medium