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Positive Real Numbers

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

MathematicsOn positive real numbers, (a*b=\sqrt{ab}) is defined. Does this operation have an identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn positive real numbers, (a*b=\frac{ab}{2}). Which is the inverse of (a)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn positive real numbers, (a*b=\sqrt{ab}) is defined. Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn positive real numbers, (a*b=\frac{ab}{2}) is defined. What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn positive real numbers, (a*b=\frac{ab}{2}). What is the inverse of (6)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn positive real numbers, (a*b=\frac{ab}{2}). What is the identity element?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn positive real numbers, (a\ast b=\frac{ab}{2}) is given. What is the identity element?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn all positive real numbers, (aRb) if and only if (\frac{a}{b}) is an integral power of (2). Which is the equivalence class of (3)?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn positive real numbers, (aRb) if and only if (\frac{\ln a}{\ln b}) is defined and rational. Why is this not an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn all positive real numbers, (aRb) if and only if (\log a-\log b\in Z). Which is the equivalence class of (1)?Class 12Relations and FunctionsEquivalence relationExpert