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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}) and (f(x)=e^x+e^{-x}), what is the correct statement about (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:\mathbb{R}\to\mathbb{R}) and (f(x)=\ln(x^2+1)), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f\circ g) is one-one, which statement is definitely true?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (|A|=6) and (|B|=4), what is the number of one-one functions from (A) to (B)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (|A|=5) and (|B|=7), how many one-one functions are there from (A) to (B)?Class 12Relations and FunctionsOne-one functionExpert MathematicsLet \(f:A\to B\) and \(g:B\to C\) be functions. If the composite function \(g\circ f:A\to C\) is one-one, which of the following conclusions must be true?Class 12Relations and FunctionsOne-one functionExpert 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 functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=(k+1)x+4), when will (f) be one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+x), what is the nature of (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-3x), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+kx), which condition on (k) is sufficient for (f) to be one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\frac{2x+3}{5}), what is the correct conclusion about (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:A\to B) is one-one and (A={p,q,r}), which of the following image lists is not possible?Class 12Relations and FunctionsOne-one functionHard MathematicsWhich graph-related rule correctly identifies a one-one function?Class 12Relations and FunctionsOne-one functionHard 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 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 functionHard MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) and \(f(x)=|x+1|+|x-1|\), is (f) one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=2n+1), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=n^2), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionHard