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One One Function

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf the function (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=3x-7), what type of function is it?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+x+2), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) and \(f(x)=\frac{x}{1+x^2}\), is (f) one-one?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:(-\infty,1]\to[0,\infty)) and (f(x)=(x-1)^2), what type of function is (f)?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^4+x^2), is (f) one-one?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:(-\infty,0]\to[0,\infty)) and (f(x)=x^2), what type of function is (f)?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:\mathbb{Q}\to\mathbb{Q}) and (f(x)=x^2), is (f) one-one?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:\mathbb{Q}\to\mathbb{Q}) and (f(x)=\frac{x+2}{3}), what type of function is (f)?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:A\to B) is one-one and (A) has (5) elements, at least how many elements must (B) have?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=7), which pair shows that (f) is not one-one?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=5-2x), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionMediumMathematicsWhich of the following is a necessary and sufficient condition for a function \(f:A\to B\) to be one-one?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+x+1), which pair gives the same value?Class 12Relations and FunctionsOne-one functionMediumMathematicsWhich condition is necessary and sufficient for a function \(f:A\to B\) to be one-one?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|2x-1|), which pair breaks one-one property?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:[4,\infty)\to[0,\infty)) and (f(x)=\sqrt{x-4}), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sqrt[3]{x-2}), what type of function is (f)?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:[0,\infty)\to[0,\infty)) and (f(x)=x^6), what type of function is (f)?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^6), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionMediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^5), what type of function is (f)?Class 12Relations and FunctionsOne-one functionMedium

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