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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 (f:[-1,1]\to[0,1]), (f(x)=x^2).Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:[0,\infty)\to[0,\infty)), (f(x)=x^2), what is the correct statement?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to[1,\infty)), (f(x)=x^2+1), what preimage can be taken for (y\in[1,\infty))?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+2), why is it not onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to[-1,\infty)), (f(x)=x^2-1), is (f) onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[1,\infty)), (f(x)=x^2+1), what is the correct statement?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to(0,\infty)), (f(x)=x^2+1), why is (f) not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=4-x^2), why is it not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to(-\infty,4]), (f(x)=4-x^2), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+2), why is (f) not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to[2,\infty)), (f(x)=x^2+2), which statement is correct?Class 12Relations and FunctionsOnto functionEasy MathematicsOn which domain restriction will (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+2x+2), become decreasing and one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsOn which interval will (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-8x+13), not be one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhich is the correct example showing that (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-1), is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsOn which interval is (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+x), one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=(x-1)^2), on which interval will it not be one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-6x+10), on which interval will (f) be one-one?Class 12Relations and FunctionsOne-one functionExpert 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:[-1,\infty)\to\mathbb{R}), (f(x)=x^2+2x+5), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionHard MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\), \(f(x)=2x^2+3x+1\), then (f) is not one-one. Which pair is correct?Class 12Relations and FunctionsOne-one functionHard