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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|), what is (f^{-1}({2}))?Class 12Relations and FunctionsFunctionsLevel 19Medium MathematicsIf (f(x)=|x-2|), what is the set (f^{-1}({3}))?Class 12Relations and FunctionsFunctionsLevel 19Medium MathematicsIf (f:R\to R), (f(x)=|x+2|), what is its range?Class 12Relations and FunctionsFunctionsLevel 21Easy MathematicsIf (f:R\to R), (f(x)=|x-1|), what is its range?Class 12Relations and FunctionsFunctionsLevel 20Easy MathematicsWhy is (f:R\to R), (f(x)=|x|), not onto?Class 12Relations and FunctionsFunctionsLevel 19Easy MathematicsWhy is (f:R\to R), (f(x)=|x|), not one-one?Class 12Relations and FunctionsFunctionsLevel 19Easy MathematicsOn all real numbers, (aRb) if and only if (|a|<|b|). Why is this not an equivalence relation?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 the set of real numbers, (aRb) if and only if (|a|=|b|). What is the equivalence class of (-3) for this relation?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn real numbers, (aRb) holds when (|a-1|=|b-1|). Which is the equivalence class of (-2)?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn (A={-2,-1,0,1,2}), under the relation (|a|=|b|), what is the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsOn (A={-2,-1,1,2}), (aRb) when (|a|=|b|). What is the equivalence class of (-2)?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn real numbers, (aRb) when (|a|=|b|). Which statement about (R) is correct?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn real numbers, (aRb) when (|a|=|b|). What type of relation is this?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsOn the set of integers, (aRb) if (|a|=|b|). What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn real numbers, (aRb) is defined when (|a|\le |b|+1). This relation is not transitive. Which counterexample is correct?Class 12Relations and FunctionsTransitive relationLevel 15Expert MathematicsOn real numbers, (aRb) is defined when (|a|\ge |b|). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14Expert MathematicsOn real numbers, (aRb) is defined when (|a|\le |b|). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 13Expert MathematicsIf (R={(a,b):a,b\in\mathbb{R}\text{ and }|a|=|b|}), choose the correct option for (R).Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn real numbers, (R={(a,b):|a|=|b|}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy