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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 a function (f:A\to B) is one-one, what is the correct statement about its inverse relation?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (g\circ f) is one-one, which statement about (g) is correct?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (g\circ f) is one-one, which of the following statements is definitely true?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:A\to B) and (g:B\to C) are both one-one, what is the correct statement about (g\circ f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (|A|=4) and (|B|=4), what is the number of one-one functions from (A) to (B)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (|A|=3) and (|B|=5), how many one-one functions are there from (A) to (B)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (A) has (4) elements and (B) has (3) elements, what is the correct statement about the possibility of a one-one function from (A) to (B)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{Z}) and (f(x)=\lfloor x\rfloor), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^5+x), why is (f) one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) and \(f(x)=\frac{x}{1+x^2}\), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}-{0}\to\mathbb{R}) and (f(x)=\frac{1}{x}), is (f) one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:(0,\infty)\to(0,\infty)) and (f(x)=\frac{1}{x}), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[-\frac{\pi}{2},\frac{\pi}{2}]\to[-1,1]) and (f(x)=\sin x), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to[-1,1]) and (f(x)=\sin x), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to(0,\infty)) and (f(x)=2^x), 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-x), choose the correct statement with reason.Class 12Relations and FunctionsOne-one functionHard MathematicsFor a function (f) from (A={1,2,3}) to (B={a,b,c,d}), (f(1)=a), (f(2)=b), (f(3)=a). Choose the correct statement.Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x-2|), is (f) one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2x^3+1), what is the nature of (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[0,\infty)\to\mathbb{R}) and (f(x)=x^2), choose the correct statement for (f).Class 12Relations and FunctionsOne-one functionHard