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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(-\infty,4]), (f(x)=4-x^2), is (f) onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[3,\infty)), (f(x)=(x-2)^2+3), choose the correct option.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,2]\to[0,5]), (f(x)=x^2), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,2]\to[0,4]), (f(x)=x^2), which statement is correct about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[1,\infty)\to[0,\infty)), (f(x)=x-1), is (f) onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=3x^3-2), which option is correct for (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to(0,1]), (f(x)=\frac{1}{1+x^2}), what type of function is (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{1}{1+x^2}), then (f) is not onto becauseClass 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}), (f(x)=\frac{1}{x}), what is the correct option?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{1}), (f(x)=\frac{x+1}{x-1}), choose the correct statement about (f).Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x}{1+|x|}), then (f) is not onto becauseClass 12Relations and FunctionsOnto functionMedium MathematicsIf (A={1,2,3}), (B={a,b}), what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A={1,2,3,4}), (B={a,b}), how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A) has (5) elements and (B) has (3) elements, what is correct about the existence of an onto function from (A) to (B)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A={1,2,3}), (B={4,5,6,7}), why is no onto function from (A) to (B) possible?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A={1,2,3,4}), (B={p,q,r}), and (f(1)=p), (f(2)=q), (f(3)=q), (f(4)=r), choose the correct option for (f).Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4+1), then (f) is not onto becauseClass 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-x), is (f) onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf \(f:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to\mathbb{R}\), \(f(x)=\tan x\), which option is correct?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[-1,1]), (f(x)=\cos x), is (f) onto?Class 12Relations and FunctionsOnto functionMedium