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Commutative

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=\frac{ab}{a+b}). Which property does this operation satisfy?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=pa+qb). What condition is needed for this operation to be commutative?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+\mu b). The operation will be commutative only for what value of (\mu)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b-ab). Which statement is correct?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a^2+b^2). Which property does this operation satisfy?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn positive real numbers, (a*b=a^{\log b}), where (\log) has base (10). When is this operation commutative?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={0,1}), (a*b) is the remainder when (a+b) is divided by (2). Which statement is correct for this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b-ab). Which statement about this operation is correct?Class 12Relations and FunctionsBinary operationsHard MathematicsIf (a*b=ka+b) on (\mathbb{R}) is commutative, what is the value of (k)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a^2+b^2). Choose the correct property.Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=|a-b|). Which statement is correct?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a^2+b^2). Why is this operation commutative?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn positive real numbers, (a*b=\sqrt{ab}). Choose the correct conclusion about this operation.Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{Z}), (a*b=a+b-3) is defined. Which statement is correct?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b-ab). Is this operation commutative?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{Z}), (a*b=a+b-1). Which property does this operation satisfy?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={1,-1}), (a*b=ab). What kind of operation is it?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b-ab). Which statement is correct?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b+ab). Which statement is correct?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b+2). What type of operation is it?Class 12Relations and FunctionsBinary operationsHard