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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।

MathematicsOn (A={1,2,3,4}), (R) contains pairs whose two numbers have the same remainder on division by (2). What is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsIf (R) is an equivalence relation, what generally forms the equivalence class of (a)?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsHow does an equivalence relation organize a set?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsIn (A={1,2,3,4,5,6,7,8}), (aRb) if (a\equiv b \pmod{4}). What is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsThe set (A={1,2,3,4,5}) is divided into classes ({1,4},{2},{3,5}). Relation (R) means belonging to the same class. Which pair must be in (R)?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsWhat are the equivalence classes of the universal relation on a set?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsIn (A={1,2,3,4,5,6}), under the same remainder modulo (3) relation, what is the equivalence class of (3)?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsIn (A={1,2,3,4,5,6}), under the same remainder modulo (3) relation, what is the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn integers, (aRb) if (a\equiv b \pmod{2}). What is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn integers, (aRb) if (a\equiv b \pmod{2}). What is the equivalence class of (0)?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsIn (A={1,2,3,4}), for the same parity relation, what is the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsIn (A={1,2,3,4}), for the same parity relation, what is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsIf (R) is an equivalence relation, what is the equivalence class of an element (a)?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn integers, (aRb) if (a\equiv b \pmod{3}). How many equivalence classes are there?Class 12Relations and FunctionsEquivalence relationLevel 16Easy MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b) or (a+b=5). What is the equivalence class of (2)?Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsOn integers, (aRb) if and only if (a-b) is divisible by (4). What is the equivalence class of (3)?Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsIf (R) is an equivalence relation and ([a]=[b]), which statement is correct?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if both (a) and (b) are divisible by (2), or both are not divisible by (2). What is the equivalence class of (4)?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn integers, (aRb) if and only if (a\equiv b \pmod{5}). What is the equivalence class of (2)?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn the real numbers, define aRb if and only if |a|=|b|. What is the equivalence class of -3?Class 12Relations and FunctionsTypes of relationsLevel 4Expert