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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={1,2,3,4,5}), (a*b=\min(a,b)) is defined. What will be the identity element of this operation?Class 12Relations and FunctionsBinary operationsExpertMathematicsOn the set (A={1,2,3,4,5}), (a*b=\max(a,b)) is defined. What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsExpertMathematicsOn non-zero real numbers, (a*b=\frac{ab}{2}) is defined. What will be the inverse of (5)?Class 12Relations and FunctionsBinary operationsExpertMathematicsOn non-zero real numbers, (a*b=\frac{ab}{2}) is defined. What is the identity element for this operation?Class 12Relations and FunctionsBinary operationsExpertMathematicsOn real numbers, (a*b=a+b-2ab) is defined. What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsExpertMathematicsOn the set of integers, (a*b=a+b-1) is defined. What is the inverse of (7) with respect to this operation?Class 12Relations and FunctionsBinary operationsExpertMathematicsOn the set of real numbers, the operation (a*b=a+b+ab) is defined. If (a\neq -1), what will be the inverse of (2)?Class 12Relations and FunctionsBinary operationsExpertMathematicsOn (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 operationsHardMathematicsOn (\mathbb{R}), (a*b=\sqrt{a^2+b^2}). What is its identity element?Class 12Relations and FunctionsBinary operationsHardMathematicsOn (A={0,1}), (a*b=|a-b|). What is its identity element?Class 12Relations and FunctionsBinary operationsHardMathematicsOn (\mathbb{R}), (a*b=a+b-2). What will be the identity element?Class 12Relations and FunctionsBinary operationsHardMathematicsOn (\mathbb{R}^+), (a*b=ab). What is its identity element?Class 12Relations and FunctionsBinary operationsHardMathematicsOn (A={1,2,3,6}), (a*b=\operatorname{lcm}(a,b)). What will be the identity element?Class 12Relations and FunctionsBinary operationsHardMathematicsOn (A={1,2,3,6}), (a*b=\gcd(a,b)). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsHardMathematicsOn (A={2,4,6,8}), (a*b=\min(a,b)). Which is the identity element?Class 12Relations and FunctionsBinary operationsHardMathematicsOn (A={2,4,6,8}), (a*b=\max(a,b)). What is its identity element?Class 12Relations and FunctionsBinary operationsHardMathematicsOn (\mathbb{Q}-{0}), (a*b=\frac{ab}{5}). Which is the identity element?Class 12Relations and FunctionsBinary operationsHardMathematicsOn (A=\mathbb{R}-{-1}), (a*b=a+b+ab). What is the identity element?Class 12Relations and FunctionsBinary operationsHardMathematicsOn (\mathbb{R}), (a*b=a+b-ab). Which is its identity element?Class 12Relations and FunctionsBinary operationsHardMathematicsOn (\mathbb{R}), (a*b=a+b+4). What is the inverse of (6)?Class 12Relations and FunctionsBinary operationsHard

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