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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^3-6x^2+9x), which option proves that (f) is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:(-\infty,2]\to\mathbb{R}) and (f(x)=x^2), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (g\circ f) is one-one, which statement about (g) is the most accurate?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[2,\infty)\to[0,\infty)) and (f(x)=|x-2|), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsFor the linear fractional function (f(x)=\frac{ax+b}{cx+d}), if (ad-bc\neq0) and (cx+d\neq0), what is correct about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^5+x^3+x), choose 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 \(f(x)=x^2\) if \(x\ge0\). What is the correct statement?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) and \(f(x)=\frac{x}{1+x^2}\), what is the correct statement about (f)?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 MathematicsIf (f\circ g) is one-one, which statement is definitely true?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf \(f:(0,\infty)\to\mathbb{R}\) and \(f(x)=x+\frac{1}{x}\), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-3x), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionExpert MathematicsWhich statement is correct about (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-6x^2+12x+1)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f(x)=\frac{2x+3}{x-1}), then for (x\ne1), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f(x)=\frac{x-1}{x+1}), then for (x\ne -1), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f(x)=2x+1) and (g(x)=x^2), what is ((g\circ f)(x))?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (A) has (4) elements and (B) has (3) elements, how many one-one functions are possible from (A) to (B)?Class 12Relations and FunctionsFunctionsExpert MathematicsOn (A={1,2,3,4,5,6,7}), (aRb) if and only if (a^2\equiv b^2 \pmod{7}). Which is the equivalence class of (3)?Class 12Relations and FunctionsEquivalence relationExpert MathematicsIf (A) has (4) elements, how many different equivalence relations are possible on (A)?Class 12Relations and FunctionsEquivalence relationExpert MathematicsAn equivalence relation on a set (A) has equivalence classes ({a,b,c}), ({d,e}), and ({f}). How many ordered pairs are there in this relation?Class 12Relations and FunctionsEquivalence relationExpert