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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)=x^5-x), which option proves that (f) is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[0,\infty)\to\mathbb{R}) and (f(x)=x^4+x^2), what is the nature of (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^4+x^2), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (|A|=3) and (|B|=3), what is the number of one-one functions from (A) to (B)?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhich of the following functions \(f:\mathbb{R}\to\mathbb{R}\) is one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[0,\pi]\to[-1,1]) and (f(x)=\cos x), what is the nature of (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf \(f:[0,\pi]\to[-1,1]\) and \(f(x)=\sin x\), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsThe function (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x-1) if (x<0) and (f(x)=x+1) if (x\ge0). What is correct about (f)?Class 12Relations and FunctionsOne-one functionExpert 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 functionExpert 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 functionExpert MathematicsIf (f:\mathbb{R}-{-1}\to\mathbb{R}) and (f(x)=\frac{x-1}{x+1}), what is the correct conclusion about (f)?Class 12Relations and FunctionsOne-one functionExpert 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 functionExpert MathematicsWhich rule is correct for checking a one-one function from its graph?Class 12Relations and FunctionsOne-one functionExpert MathematicsIn which case will the inverse relation of (f:A\to B) become a function from (f(A)) to (A)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:A\to B) is one-one and (A={p,q,r,s}), which image list is not possible?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f={(1,a),(2,c),(3,b),(4,d)}), where (f:{1,2,3,4}\to{a,b,c,d,e}), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=|n|), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=n^3), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{Z}) and (f(x)=\lfloor x\rfloor), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=e^x-e^{-x}), what is the nature of (f)?Class 12Relations and FunctionsOne-one functionExpert