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Relations And Functions

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}) is defined by (f(x)=x^3-1), then what type of function is it?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=5x-11), what will be the preimage of any (y\in\mathbb{R}) to show that (f) is onto?Class 12Relations and FunctionsOnto functionLevel 25Medium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3-3x), on which interval is the function one-one?Class 12Relations and FunctionsOne-one functionLevel 23Expert MathematicsWhich of the following functions \(f:\mathbb{R}\to\mathbb{R}\) is one-one?Class 12Relations and FunctionsOne-one functionLevel 22Expert 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 functionLevel 22Expert 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 functionLevel 22Medium MathematicsWhich condition is necessary and sufficient for a function \(f:A\to B\) to be one-one?Class 12Relations and FunctionsOne-one functionLevel 22Medium MathematicsWhich condition correctly defines a one-one function \(f:A\to B\)?Class 12Relations and FunctionsOne-one functionLevel 24Easy 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 functionLevel 23Easy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=2x+5), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionLevel 23Easy MathematicsLet \(f:A\to B\) be a function. Which property is necessary and sufficient for \(f^{-1}:B\to A\) to also be a function?Class 12Relations and FunctionsFunctionsLevel 20Expert MathematicsWhich of the following functions \(f:\mathbb{R}\to\mathbb{R}\) is one-one but not onto?Class 12Relations and FunctionsFunctionsLevel 19Expert MathematicsWhich is the correct classification of the function \(f:\mathbb{R}\to\mathbb{R}\), where \(f(x)=x^3-x\)?Class 12Relations and FunctionsFunctionsLevel 21Hard MathematicsIf \(f(x)=x+2\), \(g(x)=2x-1\), and \(h(x)=x^2\), what is the value of \((h\circ g\circ f)(1)\)?Class 12Relations and FunctionsIntroduction to RelationsLevel 21Medium MathematicsIf f(x) = x² − 3 and f(a) = 13, where a > 0, what is a?Class 12Relations and FunctionsIntroduction to RelationsLevel 21Medium MathematicsIf \(f(x)=6x+2\) and \(f(a)=38\), what is the value of \(a\)?Class 12Relations and FunctionsIntroduction to RelationsLevel 21Medium MathematicsIf \(f(x)=x-1\), \(g(x)=3x\), and \(h(x)=x^2+1\), what is the value of \((h\circ g\circ f)(2)\)?Class 12Relations and FunctionsTypes of relationsLevel 20Medium MathematicsIf (f(x)=x^2+kx) and (f(2)=12), what is the value of (k)?Class 12Relations and FunctionsTypes of relationsLevel 20Medium MathematicsIf f(x) = x² + 2 and f(a) = 18, where a > 0, what is a?Class 12Relations and FunctionsFunctionsLevel 20Medium MathematicsIf \(f(x)=x-2\) and \(g(x)=x^2+1\), find the value of \((g\circ f)(4)\).Class 12Relations and FunctionsIntroduction to RelationsLevel 20Medium