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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 the set (A={0,1,2,3}), (a*b) is defined as the remainder obtained when (a+b) is divided by (4). What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={0,1,2,3,4,5,6}), (a*b) is the remainder when (a+b) is divided by (7). What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1,2,3}), (a*b) is the remainder obtained when (a+b) is divided by (4). What is the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={1,3,5,7}), (a*b) is the remainder when (a+b) is divided by (8). Is it closed on (A)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={0,1,2,3}), (a*b) is the remainder when (a+b) is divided by (4). What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={1,2,3,4}), (a*b) is the remainder when (ab) is divided by (5). What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={1,2,3,4}), (a*b) is the remainder when (ab) is divided by (5). Which is the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={1,2,3,4}), (a*b) is the remainder when (ab) is divided by (5), and remainder (0) is not replaced by (5). Is this a binary operation on (A)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1,2}), (a*b) is the remainder when (a+b) is divided by (3). What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1,2}), (a*b) is defined as the remainder when (a+b) is divided by (3). What is the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={1,2,3,4,5}), (aRb) if (a) and (b) have the same remainder on division by (2). Which pair will not be in (R)?Class 12Relations and FunctionsEquivalence relationHard 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}), (aRb) if (a) and (b) leave the same remainder on division by (3). What is ([2])?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6,7,8,9}), (aRb) if (a\equiv b \pmod{3}). How many ordered pairs are in the relation?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A=\mathbb{Z}), (aRb) if (a-b) is divisible by (6). What is the equivalence class of (0)?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn integers, (aRb) if (a^2\equiv b^2 \pmod{5}). What type of relation is this?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6,7,8}), (aRb) if (a\equiv b \pmod{4}). What is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn the set (A={1,2,3,4,5,6}), relation (R) is defined by ((a,b)\in R) if (a-b) is divisible by (3). How many equivalence classes does this relation have?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn the set (A={1,2,3,4}), the relation (R={(a,b):a-b\text{ is divisible by }2}) is given. Choose the correct statement about this relation.Class 12Relations and FunctionsEquivalence relationExpert 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 relationEasy