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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^2+ax+1) is one-one, which statement is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\lfloor x\rfloor), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=|x-2|), what is the minimum value of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to A), (A={1,2,3}), and (f(1)=2), (f(2)=3), (f(3)=1), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\setminus{-2}\to\mathbb{R}\setminus{3}) is given by (f(x)=\frac{3x+1}{x+2}), which value is missed by (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\tan x), why is this function not well-defined?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=e^x), which statement is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to(0,\infty)) is given by (f(x)=e^x), what type of function is (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^3-3x), why is (f) not one-one?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\cos x), why is (f) not onto?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+4), what is the range of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^2), why is (f^{-1}) not a function?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=2x^3-1), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{x}{1+|x|}), what is the range of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are given by (f(x)=x+1), (g(x)=2x), which statement about ((f\circ g)(x)) and ((g\circ f)(x)) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=5), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{x-1}{x+1}), what is the domain of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^2-2x), what is the range of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:[0,\infty)\to[0,\infty)) is defined by (f(x)=x^2), what type of function is (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\sin x), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard