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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:R\to R), (f(x)=x^3-7), what is (f^{-1}(x))?Class 12Relations and FunctionsIntroduction to RelationsLevel 21Medium MathematicsIf (f:R\to R), (f(x)=x^3+5), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsLevel 20Medium MathematicsIf (f:R\to R), (f(x)=x^3), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsLevel 19Medium MathematicsIf (f:R\to R), (f(x)=x^3-2), is (f) onto?Class 12Relations and FunctionsFunctionsLevel 21Easy MathematicsIf (f:R\to R), (f(x)=x^3+1), is it onto?Class 12Relations and FunctionsFunctionsLevel 20Easy MathematicsIf (f:R\to R), (f(x)=x+1), what is the range of (f)?Class 12Relations and FunctionsFunctionsLevel 19Easy MathematicsOn all real numbers, (aRb) if and only if (\sin^2 a=\sin^2 b). Which of the following numbers belongs to the equivalence class of (0)?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn all real numbers, (aRb) if and only if (a^2+2a=b^2+2b). Which is the equivalence class of (-1)?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn all real numbers, (aRb) if and only if (a^2-a=b^2-b). Which is the equivalence class of (3)?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn all real numbers, (aRb) if and only if (a-b\ge 0). Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn all real numbers, (aRb) if and only if (a-b) is irrational. Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn all real numbers, (aRb) if and only if (a^2+b^2=0). Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn all real numbers, (aRb) if and only if (a-b\in Q). Which of the following pairs is not in the relation?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn all real numbers, (aRb) if and only if (a^4=b^4). Which is the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn real numbers, (aRb) if and only if (\lfloor 2a\rfloor=\lfloor 2b\rfloor). Which is the correct equivalence class of (\frac{5}{4})?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn all real numbers, (aRb) if and only if (\lfloor 2a\rfloor=\lfloor 2b\rfloor). Which is the equivalence class of (\frac{5}{4})?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn real numbers, (aRb) if and only if (a-b\in Z). Which is the equivalence class of (\frac{3}{4})?Class 12Relations and FunctionsEquivalence relationLevel 18Expert MathematicsOn all real numbers, (aRb) if and only if (|a|+|b|=0). Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn all real numbers, (aRb) if and only if (a-b) is an integer. Choose the correct statement about (0.25) and (3.25).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