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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 (A={1,2,3}) and (B={x,y,z,w}), can there be an onto function from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsIf (f:\mathbb{R}\to \mathbb{Z}), (f(x)=\lfloor x\rfloor), what is the correct conclusion about (f)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsWhich statement is correct for (f:\mathbb{R}\to \mathbb{R}), (f(x)=\lfloor x\rfloor)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsIf (f:\mathbb{R}\to (0,1]), (f(x)=\frac{1}{1+x^2}), what type is (f)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsChoose the correct answer for (f:\mathbb{R}\to \mathbb{R}), (f(x)=\frac{1}{1+x^2}).Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsIf (f:\mathbb{N}\to {1,3,5,7,\ldots}), (f(n)=2n-1), what is correct about (f)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsWhat is the correct option for (f:\mathbb{N}\to \mathbb{N}), (f(n)=2n-1)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsIf (f:\mathbb{Z}\to 2\mathbb{Z}) is defined by (f(x)=2x), what type is (f)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsChoose the correct statement for (f:\mathbb{Z}\to \mathbb{Z}), (f(x)=2x).Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsIf \(f:\mathbb{R}\to \left[-\frac{1}{4},\infty\right)\), \(f(x)=x^2-x\), what type is \(f\)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsWhich conclusion is correct for \(f:\mathbb{R}\to \mathbb{R}\), \(f(x)=x^2-x\)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsIf (f:\mathbb{R}\to [0,1)), (f(x)=\frac{x^2}{1+x^2}), what type is (f)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsChoose the correct option about (f:\mathbb{R}\to [0,1]), (f(x)=\frac{x^2}{1+x^2}).Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsIf (f:\mathbb{R}\to (-1,1)), (f(x)=\frac{x}{1+|x|}), what is the correct answer for (f)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsWhich statement is correct for (f:\mathbb{R}\to \mathbb{R}), (f(x)=\frac{x}{1+|x|})?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsIf \(f:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to \mathbb{R}\), \(f(x)=\tan x\), what type is (f)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=\tan x), which point must be noticed?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsWhat is the correct conclusion for (f:[0,\infty)\to \mathbb{R}), (f(x)=x^2)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsIf (f:[0,\infty)\to [0,\infty)) is defined by (f(x)=x^2), what type is (f)?Class 12Relations and FunctionsOnto functionLevel 27MediumMathematicsChoose the correct option for (f:\mathbb{R}\to \mathbb{R}), (f(x)=x^4+1).Class 12Relations and FunctionsOnto functionLevel 27Medium