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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[-1,1]) where (f(x)=\sin x), what is the correct statement about (f)?Class 12Relations and FunctionsReflexive relationExpert MathematicsChoose the correct option for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x-\cos x).Class 12Relations and FunctionsOne-one functionExpert MathematicsWhy is (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x+\cos x), not one-one on all of (\mathbb{R})?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x-\sin x), what is the correct conclusion about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x+\sin x), what is the suitable statement about (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to[-1,1]) and (f(x)=\sin x), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), (f) is not one-one becauseClass 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x), what is the correct statement for (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf \(f:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to\mathbb{R}\) and \(f(x)=\tan x\), what type of function is (f)?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), which pair shows that (f) is not one-one?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:[0,\pi]\to[-1,1]) and (f(x)=\cos x), what type of function is (f)?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\cos x), which statement about one-one property is correct?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\) and \(f(x)=\sin x\), what type of function is (f)?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), is (f) one-one?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) is given by \(f(x)=\sin x+\cos x\), what is the range of (f)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), why is (f) not onto?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\cos x), why is (f) not onto?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\sin x), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsOn (A=\mathbb{R}), (xRy) if (\sin x=\sin y). What type of relation is this?Class 12Relations and FunctionsEquivalence relationHard