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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 (A=\mathbb{Z}), (aRb) if (a-b) is divisible by (4). How many distinct equivalence classes does this relation have?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6,7,8,9,10}), how many equivalence classes are formed by the relation (\tau(a)=\tau(b))?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6,7,8}), (aRb) holds when (a) and (b) have the same divisibility status by (4) and by (2). How many equivalence classes are formed?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn integers, (aRb) holds when (a-b) is even, and (aSc) holds when (a-c) is divisible by (3). How many equivalence classes are there in (R\cap S)?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6,7,8}), how many equivalence classes are formed by (a^2\equiv b^2 \pmod{5})?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6}), how many equivalence classes are formed by the relation (\max(a,4)=\max(b,4))?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6,7,8,9,10}), (aRb) holds when (a) and (b) have the same greatest common divisor with (10). How many equivalence classes are formed?Class 12Relations and FunctionsEquivalence relationHard MathematicsFor (A={1,2,3,4}), let (R=A\times A). How many equivalence classes does this relation have?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn integers, (aRb) holds when (a\equiv b \pmod{8}). How many distinct equivalence classes are there?Class 12Relations and FunctionsEquivalence relationMedium MathematicsIf (A) has (n) elements, how many equivalence classes are formed by the universal relation (A\times A)?Class 12Relations and FunctionsEquivalence relationMedium MathematicsIf (A) has (n) elements, how many equivalence classes are formed by the identity relation?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn (A={1,2,3,4,5,6,7,8}), (aRb) when (a) and (b) leave the same remainder on division by (4). How many equivalence classes are formed?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn (A={1,2,3,4}), how many equivalence classes are formed by the same parity relation?Class 12Relations and FunctionsEquivalence relationEasy