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Associativity

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsOn (\mathbb{R}^{+}), (a*b=\sqrt{ab}). What is the correct conclusion about this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b-ab). What is the correct reason this operation is associative?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn positive real numbers, (a*b=\frac{a}{b}) is defined. Which property is not satisfied by this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a+b+ab) is defined. Which is the most suitable reason for this operation being associative?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a^2+b^2) is defined. Choose the correct conclusion about this operation.Class 12Relations and FunctionsBinary operationsExpert MathematicsOn the set (A={1,2,3}), (a*b=a) is defined. Which property is satisfied by this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn positive real numbers, (a*b=\sqrt{ab}) is defined. Choose the correct statement about associativity of this operation.Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{Z}), (a*b=a+b+ab). Is it associative on (\mathbb{Z})?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}\setminus{-1}), (a*b=a+b+ab) is given. This operation is related to which expression?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A=\mathbb{R}\setminus{0}), (a*b=\frac{a}{b}). Choose the correct statement.Class 12Relations and FunctionsBinary operationsHard MathematicsFor (a*b=a+b+ab) on (\mathbb{R}), which form is helpful for checking associativity?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=ka+b). For which (k) will the operation be associative?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=|a-b|). In which property does this operation fail?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a^2+b^2). It is a binary operation, but which property generally fails?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=ka+kb). For which (k) will this operation be associative?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=2a+2b). In which property does this operation fail?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{Q}\setminus{0}), (a*b=\frac{a}{b}). What kind of operation is it?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a-b). Choose the correct statement about this operation.Class 12Relations and FunctionsBinary operationsHard MathematicsOn natural numbers, (a*b=a^b). Which statement is correct?Class 12Relations and FunctionsBinary operationsHard MathematicsOn positive real numbers, (a*b=\sqrt{ab}) is defined. Is this operation associative?Class 12Relations and FunctionsBinary operationsMedium