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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।

MathematicsWhat is the correct conclusion about (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x^2})?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhich is the correct example showing that (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x^2), is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^6+1), which option is correct?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x^2}{1+x^2}), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (A={1,2,3,4}) and (f:A\to A) has (f(1)=3), (f(2)=3), (f(3)=4), (f(4)=1), what is correct about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\min{x,1}), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct statement about (f:\mathbb{R}\to\mathbb{R}), (f(x)=\max{x,0})?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}), (f(x)=\ln(x^2)), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to(0,\infty)), (f(x)=e^{x^2}), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^3-n), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhy is (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x+\cos x), not one-one on all of (\mathbb{R})?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x-|x|), which statement is correct?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct reason that (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+|x|), is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+|x|), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4-2x^2), which example correctly shows that (f) is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsOn which interval will (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-8x+13), not be one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhy is (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-12x+5), not one-one on all of (\mathbb{R})?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhich is the correct example showing that (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-1), is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct conclusion about (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x-1|+|x+1|)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lceil x\rceil), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert