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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 (S={1,2,3,4,6,12}), (a*b=\gcd(a,b)). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={1,2,3,4,5,6}), (a*b=\gcd(a,b)) is defined. What is the correct statement about the inverse of (4), if identity is assumed to be (6)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn positive integers, (a*b=\gcd(a,b)) is defined. Does this operation have an identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={1,2,3,6}), (a*b=\gcd(a,b)). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={1,2,3,6}), (a*b=\gcd(a,b)). What is the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{N}), (a*b=\gcd(a,b)). Does the identity element lie in (\mathbb{N})?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{N}), (a*b=\gcd(a,b)) is defined. Does an identity element exist in (\mathbb{N})?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={1,2,3,4,6,12}), (a*b) is the greatest common divisor of (a) and (b). What is the identity element?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={1,2,3,4,5,6}), (aRb) if (\gcd(a,6)=\gcd(b,6)). What is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn the set (A={1,2,3,4,5,6}), (aRb) if and only if (\gcd(a,6)=\gcd(b,6)). How many elements are in the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4,5,6,7,8,9}), (aRb) holds when (a) and (b) have the same greatest common divisor with (9). Which is the equivalence class of (6)?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6,7,8,9}), (aRb) holds when (\gcd(a,9)=\gcd(b,9)). How many ordered pairs are in the relation?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6,7,8,9,10}), for the relation (\gcd(a,10)=\gcd(b,10)), which is the equivalence class of (8)?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 MathematicsOn (A={1,2,3,4,5,6,7,8}), how many ordered pairs are in the relation defined by (\gcd(a,8)=\gcd(b,8))?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5,6,7,8}), (aRb) holds when (\gcd(a,8)=\gcd(b,8)). Which is the equivalence class of (6)?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5}), (R={(a,b):\gcd(a,b)=1}). Why is this relation not transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):\gcd(a,b)=1}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,6}), (R={(a,b):\gcd(a,b)=2}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationExpert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):\gcd(a,b)\text{ is even}}). How many diagonal pairs must be added to make it reflexive?Class 12Relations and FunctionsReflexive relationExpert