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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 (\frac{a}{b}>0) on non-zero real numbers, what is the equivalence class of (-5)?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsFor the relation (a^2=b^2) on integers, what is the equivalence class of (-3)?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsIf (R) is an equivalence relation, what is true about ([a]) for any (a\in A)?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsOn (A={1,2,3,4,5}), (aRb) holds when (|a-b|) is even. What is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsFor the relation on natural numbers where numbers have the same last digit, what is the equivalence class of (23)?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsIf an equivalence relation partitions a set into ({1,4},{2,5},{3,6}), what is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationLevel 16Medium 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 integers, (aRb) is defined when (a-b) is divisible by (4). What is the equivalence class of (7)?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,4),(4,1)}). What is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn (A={0,1,2,3,4,5}), (aRb) when (a \equiv b \pmod{3}). What is the equivalence class of (0)?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsWhat is correct about two elements inside the same class formed by an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn (A={1,2,3,4,5,6}), (aRb) when (a) and (b) are both divisible by (2) or both not divisible by (2). Which is the class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn (A={-2,-1,1,2}), (aRb) when (|a|=|b|). What is the equivalence class of (-2)?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsIf (R) is an equivalence relation and (a) is an element of a set, which elements come in ([a])?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn (A={1,2,3,4,5}), (aRb) when (a) and (b) give the same remainder on division by (5). What is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn (A={1,2,3,4,5,6}), (aRb) when (a \equiv b \pmod{3}). Which is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationLevel 18Easy MathematicsOn the set (A={1,2,3,4,5,6}), relation (R) is defined by (aRb) when (a) and (b) give the same remainder on division by (3). Which is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsOn (A={1,2,3,4,5}), (aRb) when (a) and (b) give the same remainder on division by (2). What is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsIf (R) is an equivalence relation, what does ([a]) usually mean?Class 12Relations and FunctionsEquivalence relationLevel 17Easy MathematicsIf (R) is an equivalence relation and (aRb), what is correct about the equivalence classes of (a) and (b)?Class 12Relations and FunctionsEquivalence relationLevel 17Easy