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Inverse Existence

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=a+b+1). Which element acts as the identity that allows every real number to have an inverse?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={0,1,2,3,4}), (a*b) is the remainder when (ab) is divided by (5). Which element does not have an inverse?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a+b-4ab) is defined. Choose the correct statement about (a=\frac{1}{4}).Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a+b-ab) is defined. Which element does not have an inverse?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a+b+\lambda ab) is defined. If (\lambda\neq 0), which element will not have an inverse?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a+b+ab) is defined. Which element does not have an inverse?Class 12Relations and FunctionsBinary operationsExpert MathematicsIn the operation (a*b=a+b-2ab) on real numbers, which element will not have an inverse?Class 12Relations and FunctionsBinary operationsHard MathematicsIn the operation (a*b=a+b+ab) on real numbers, which element does not have an inverse?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b+ab) is defined. Which element does not have an inverse under this operation?Class 12Relations and FunctionsBinary operationsMedium MathematicsFor (a*b=a+b-ab) on real numbers, which element does not have an inverse?Class 12Relations and FunctionsBinary operationsMedium MathematicsFor (a*b=a+b+ab) on real numbers, which element does not have an inverse?Class 12Relations and FunctionsBinary operationsMedium