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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)=3x-5), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionHard MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\), \(f(x)=\begin{cases}2x+1,&x<1\x+2,&x\ge 1\end{cases}\), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (A={1,2,3,4,5}) and (B={a,b,c,d,e,f,g}), how many one-one functions are there from (A) to (B)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[0,\infty)\to\mathbb{R}), (f(x)=x^3+3x), what is the one-one status of (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+3x^2), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\begin{cases}x+1,&x\ge 0\x-1,&x<0\end{cases}), which statement is correct about (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{N}\to\mathbb{N}), (f(n)=n+(-1)^n), is (f) one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^3+n), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor), is (f) one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:[0,\infty)\to\mathbb{R}), (f(x)=\sqrt{x^2+1}), what is correct about (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt{x^2+1}), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+4) and (g:\mathbb{R}\to\mathbb{R}), (g(x)=3x-2), what type is (g\circ f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=2x+1) and (g:\mathbb{R}\to\mathbb{R}), (g(x)=x^2), is (g\circ f) one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (g\circ f) is one-one, which of the following statements is always true?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+2kx), is (f) one-one on the whole of (\mathbb{R})?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=kx^2), under which condition will (f) be one-one on all of (\mathbb{R})?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:A\to B) is not one-one, which statement will always be true?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (A) has (3) elements and (B) has (6) elements, how many one-one functions are possible from (A) to (B)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (A={1,2,3,4}) and (B={p,q,r,s,t}), 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 correct about a one-one function from (A) to (B)?Class 12Relations and FunctionsOne-one functionHard