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Injective Function

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

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 MathematicsWhich of the following functions \(f:\mathbb{R}\to\mathbb{R}\) is one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIn which case will the inverse relation of (f:A\to B) become a function from (f(A)) to (A)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=n^3), what is the correct statement about (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 (|A|=6) and (|B|=4), what is the number of one-one functions from (A) to (B)?Class 12Relations and FunctionsOne-one functionExpert MathematicsLet \(f:A\to B\) and \(g:B\to C\) be functions. If the composite function \(g\circ f:A\to C\) is one-one, which of the following conclusions must be true?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=(k+1)x+4), when will (f) be one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:A\to B) and (g:B\to C) are both one-one, what is the correct statement about (g\circ f)?Class 12Relations and FunctionsOne-one functionHard MathematicsWhich 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 functionMedium MathematicsWhich condition is necessary and sufficient for a function \(f:A\to B\) to be one-one?Class 12Relations and FunctionsOne-one functionMedium MathematicsWhich condition correctly defines a one-one function \(f:A\to B\)?Class 12Relations and FunctionsOne-one functionEasy MathematicsLet \(A=\{1,2,3\}\) and \(B=\{a,b,c\}\). Which of the following functions \(f:A\to B\) is one-one?Class 12Relations and FunctionsOne-one functionEasy MathematicsWhich is the correct classification of the function \(f:\mathbb{R}\to\mathbb{R}\), where \(f(x)=x^3-x\)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (g\circ f) is one-one, which statement is definitely true about (f)?Class 12Relations and FunctionsFunctionsMedium