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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+1|), which pair shows that (f) is not one-one?Class 12Relations and FunctionsOne-one functionLevel 24Easy MathematicsIn a class test, a student wrote that (f(x)=x^2) is one-one on all (\mathbb{R}). Which example corrects the mistake?Class 12Relations and FunctionsOne-one functionLevel 23Easy 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 functionLevel 23Easy MathematicsIn which situation will a function (f:A\to B) definitely not be one-one?Class 12Relations and FunctionsOne-one functionLevel 23Easy MathematicsIf a function gives the same output for two different inputs, what type of function is it?Class 12Relations and FunctionsOne-one functionLevel 23Easy 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 functionLevel 22Easy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x-3|), which pair breaks one-one property?Class 12Relations and FunctionsOne-one functionLevel 22Easy MathematicsIf a function has the same image for two different inputs, what type of function will it be?Class 12Relations and FunctionsOne-one functionLevel 22Easy MathematicsWhich example proves that (f(x)=x^2+1) is not one-one on real numbers?Class 12Relations and FunctionsOne-one functionLevel 22Easy MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x), which is a correct proof that it is not one-one?Class 12Relations and FunctionsFunctionsLevel 20Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+2x), is it one-one?Class 12Relations and FunctionsFunctionsLevel 20Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x+2,&x\geq0\x^2+2,&x<0\end{cases}), which statement about (f) being one-one is correct?Class 12Relations and FunctionsFunctionsLevel 19Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^3-3x+1), which statement about (f) being one-one is correct?Class 12Relations and FunctionsFunctionsLevel 19Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-3x), why is (f) not one-one?Class 12Relations and FunctionsFunctionsLevel 21Hard MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) is defined by \(f(x)=\frac{x}{1+x^2}\), why is (f) not one-one?Class 12Relations and FunctionsFunctionsLevel 20Hard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3-3x), it is not one-one. Which example proves this correctly?Class 12Relations and FunctionsFunctionsLevel 20Hard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^3-3x), why is (f) not one-one?Class 12Relations and FunctionsFunctionsLevel 19Hard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^2), why is (f) not one-one?Class 12Relations and FunctionsFunctionsLevel 19Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) if (a+b) is divisible by (3). Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A=\mathbb{R}), (xRy) if (x-y\geq 0). Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Hard