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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।

MathematicsChoose the correct statement about the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+1).Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{Z}) is given by (f(x)=\lfloor x\rfloor), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:A\to B) and (g:B\to C), and (g\circ f) is onto, which conclusion is definitely true?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{N}\to\mathbb{N}) is defined by (f(n)=n+1), where (\mathbb{N}={1,2,3,\ldots}), what type of function is (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to B), (A={1,2,3}), (B={a,b,c}), and (f(1)=a), (f(2)=b), (f(3)=b), what type of function is (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2^x), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), why is (f) not onto?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to[0,\infty)) and (f(x)=x^2), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=|x|), what type of function is it?Class 12Relations and FunctionsFunctionsHard MathematicsLet (A={1,2,3}) and (B={4,5,6}). How many functions (f:A\to B) are both one-one and onto?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{Z}) is defined by (f(x)=\lfloor x\rfloor), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\lfloor x\rfloor), which statement is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to B) and (g:B\to A) satisfy (f\circ g=I_B), what conclusion about (f) is definitely true?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to[3,\infty)) is defined by (f(x)=x^2-4x+7), which statement is correct for (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\sin x), why is (f) not onto?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=5), what type of function is (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to B) and (g:B\to C) are both onto functions, what can be said about (g\circ f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to[0,\infty)) is defined by (f(x)=x^2), what type of function is it?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{N}\to\mathbb{N}) is defined by (f(n)=n+2), why is (f) not onto?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to B) is an onto function and (A) has (7) elements while (B) has (5) elements, which statement is definitely true?Class 12Relations and FunctionsFunctionsHard