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Equivalence Class

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsFor the relation defined by aRb iff a=b or both a and b are greater than 2 on A={1,2,3,4}, what is the equivalence class of 3?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a\equiv b \pmod{3}). What is the equivalence class of (1)?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn integers, (aRb) if and only if (a\equiv b \pmod{4}). What is the equivalence class of (0)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a-b) is divisible by (3). What is the equivalence class of (2)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a-b) is divisible by (2). What is the equivalence class of (3)?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsIf (R) is an equivalence relation and the class of (a) is ({a,b,c}), what is the class of (b)?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsIn (A={1,2,3,4,5,6}), for the same-remainder modulo (3) relation, what is the class of (2)?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsOn integers, (aRb) if (a-b) is divisible by (4). What is the equivalence class of (0)?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsOn R, define aRb if and only if a−b is rational. What is the equivalence class of √2?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsOn real numbers, (aRb) iff (\lfloor a\rfloor=\lfloor b\rfloor). What is the equivalence class of (\frac{5}{2})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn real numbers, (aRb) iff (a^2=b^2). What is the equivalence class of (0)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn real numbers, (aRb) iff (a-b\in\mathbb{Q}). Which class is equal to ([\sqrt{2}])?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn real numbers, (aRb) iff (a-b\in\mathbb{Z}). What is the equivalence class of (\frac{1}{2})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn integers, (aRb) iff (a+b) is even. What is the equivalence class of (1)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn integers, (aRb) iff (a-b) is divisible by (8). What is the equivalence class of (-3)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn real numbers, (aRb) iff (a^3-b^3=0). What is the equivalence class of (2)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn real numbers, (aRb) iff (a^2-b^2=0). What is the equivalence class of (3)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn real numbers, (aRb) iff (a-b\in\mathbb{Q}). Which of the following classes is equal to ([0])?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn real numbers, (aRb) iff (a-b\in\mathbb{Q}). What is the equivalence class of (\sqrt{2})?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn integers, (aRb) iff (a-b) is divisible by (6). What is the equivalence class of (7)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert