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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:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3-3x), on which interval is the function one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:(0,\infty)\to\mathbb{R}) and (f(x)=\log x), what is the correct conclusion about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-6x^2+9x), which option proves that (f) is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+3x+2), choose the correct statement about (f).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:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2-6x+10), which option shows that (f) is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2x^3-5), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:(-\infty,2]\to\mathbb{R}) and (f(x)=x^2), what is the correct statement about (f)?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 (|A|=4) and (|B|=6), what is the number of one-one functions from (A) to (B)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (g\circ f) is one-one, which statement about (g) is the most accurate?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:\mathbb{R}\to[1,\infty)) and (f(x)=\sqrt{x^2+1}), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to[0,\infty)) and (f(x)=|x-2|), why is (f) not one-one?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:\mathbb{R}-{-3}\to\mathbb{R}) and (f(x)=\frac{2x+1}{x+3}), what is the nature of (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsFor the linear fractional function (f(x)=\frac{ax+b}{cx+d}), if (ad-bc\neq0) and (cx+d\neq0), what is correct about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:A\to B) is one-one, which of the following statement has equivalent meaning?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^5+x^3+x), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionExpert