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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।

MathematicsFor (f:[0,\pi]\to[-1,1]), (f(x)=\cos x), choose the correct statement.Class 12Relations and FunctionsOnto functionLevel 25Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\cos x), why is (f) not onto?Class 12Relations and FunctionsOnto functionLevel 27Hard MathematicsFor the function (f(x)=\tan x) on its defined domain, which codomain makes it onto?Class 12Relations and FunctionsOnto functionLevel 27Hard MathematicsIs the function (f:\mathbb{R}\to[-1,1]), where (f(x)=\sin x), onto?Class 12Relations and FunctionsOnto functionLevel 27Hard MathematicsIf (f:\mathbb{R}\to[-2,2]), (f(x)=2\cos x), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionLevel 25Medium MathematicsIf (f:[0,\pi]\to[-1,1]), (f(x)=\cos x), what is the main reason that (f) is onto?Class 12Relations and FunctionsOnto functionLevel 25Medium MathematicsIf (f:(-\frac{\pi}{2},\frac{\pi}{2})\to\mathbb{R}), (f(x)=\tan x), which statement about (f) is correct?Class 12Relations and FunctionsOnto functionLevel 27Easy MathematicsIf (f:(-\frac{\pi}{2},\frac{\pi}{2})\to\mathbb{R}), (f(x)=\tan x), what is the correct statement?Class 12Relations and FunctionsOnto functionLevel 26Easy MathematicsIf (f:[0,\pi]\to[-1,1]), (f(x)=\cos x), what is the correct statement?Class 12Relations and FunctionsOnto functionLevel 26Easy MathematicsIf (f:\mathbb{R}\to[-2,2]), (f(x)=2\sin x), choose the correct option.Class 12Relations and FunctionsOnto functionLevel 25Easy MathematicsIf (f:\mathbb{R}\to[-1,1]), (f(x)=\sin x), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionLevel 25Easy MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\cos x), on which interval is (f) one-one?Class 12Relations and FunctionsOne-one functionLevel 23Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\tan x), on which of the following intervals is (f) one-one?Class 12Relations and FunctionsOne-one functionLevel 23Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x), on which interval is (f) one-one?Class 12Relations and FunctionsOne-one functionLevel 23Expert MathematicsChoose the correct statement for \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to\mathbb{R}\), \(f(x)=\sin x\).Class 12Relations and FunctionsOne-one functionLevel 23Hard MathematicsWhat is the correct answer for \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to\mathbb{R}\), \(f(x)=\sin x\)?Class 12Relations and FunctionsOne-one functionLevel 22Hard MathematicsWhat is the correct statement about (f:[0,\pi]\to\mathbb{R}), (f(x)=\cos x)?Class 12Relations and FunctionsOne-one functionLevel 22Hard MathematicsOn all real numbers, (aRb) if and only if (\cos^2 a=\cos^2 b). Which of the following must be in the equivalence class of (\frac{\pi}{3})?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn all real numbers where tangent is defined, (aRb) if and only if (\tan a=\tan b). Which of the following is in the equivalence class of (0)?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn real numbers, (aRb) if and only if (\cos a=\cos b). Which of the following numbers must be in the equivalence class of (0)?Class 12Relations and FunctionsEquivalence relationLevel 17Expert