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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।

MathematicsOn real numbers, (aRb) if and only if (|a-b|<1). Is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn real numbers, (aRb) if and only if (\lfloor a\rfloor=\lfloor b\rfloor). Which is the equivalence class of (-1.2)?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn real numbers, (aRb) if and only if (a^2=b^2). Which is the equivalence class of (-5)?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn real numbers, (aRb) if and only if (a-b\in Q). Which is the equivalence class of (\sqrt{2})?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn real numbers, (aRb) if and only if (a-b\in Z). Which is the correct form of the equivalence class of (1.7)?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn real numbers, (aRb) if and only if (\sin a=\sin b). Is this relation an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn real numbers, (aRb) if and only if (a^3=b^3). Choose the correct statement about this relation.Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn real numbers, (aRb) if and only if (a-b) is rational. Choose the correct statement about the equivalence classes of this relation.Class 12Relations and FunctionsEquivalence relationLevel 16Expert 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-b) is rational. Which statement is correct?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn real numbers, (aRb) holds when (\cos a=\cos b). Which is the correct form of the equivalence class of (0)?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn real numbers, (aRb) holds when (a^2+2a=b^2+2b). Which is the equivalence class of (-4)?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsFor the relation (\sin a=\sin b) on real numbers, which is the correct form of the class of (0)?Class 12Relations and FunctionsEquivalence relationLevel 16Hard MathematicsOn real numbers, (aRb) holds when (a-b) is rational. Which element belongs to the class of (\sqrt{3})?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn real numbers, (aRb) holds when (a-b) is irrational. Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsFor the relation (|a-2|=|b-2|) on real numbers, which is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn real numbers, (aRb) holds when (|a-2|=|b-2|). What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn real numbers, (aRb) holds when (a-b) is an integer. Which element belongs to the equivalence class of (2.3)?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsOn real numbers, (aRb) holds when (\lfloor a\rfloor=\lfloor b\rfloor). What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 17Medium MathematicsFor the relation on real numbers where (a-b) is an integer, which element is in the same class as (\frac{1}{2})?Class 12Relations and FunctionsEquivalence relationLevel 17Medium