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Quadratic 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)=x^2+x), which pair shows that (f) is not one-one?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:[3,\infty)\to[0,\infty)) and (f(x)=(x-3)^2), what type of function is (f)?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2-6x+9), what type of function is (f)?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=(x+1)^2), which pair is a correct counterexample for one-one testing?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-4x+4), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:[-1,\infty)\to\mathbb{R}) and (f(x)=x^2+2x+5), what type of function is (f)?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+2x+5), is (f) one-one?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+4x+4), what type of function is (f)?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:[1,\infty)\to\mathbb{R}) and (f(x)=x^2-2x), what type of function is (f)?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2-2x), which simple pair breaks one-one property?Class 12Relations and FunctionsOne-one functionEasy MathematicsWhich example proves that (f(x)=x^2+1) is not one-one on real numbers?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^2+px+q) and its minimum value is (5) at (x=2), what are (p,q)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:[3,\infty)\to[1,\infty)) is defined by (f(x)=x^2-6x+10), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:[0,\infty)\to[0,\infty)) and (f(x)=x^2), which statement about (f) is correct?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}) and (f(x)=x^2), why is (f) not one-one?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=x^2-4x+7), what is the minimum value of (f)?Class 12Relations and FunctionsFunctionsHard 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}) 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^2-2x), what is the range of (f)?Class 12Relations and FunctionsFunctionsHard