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No Identity

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{a+b}{2}). What is the correct statement about its identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{N}), (a*b=\gcd(a,b)). Does the identity element lie in (\mathbb{N})?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=|a-b|). Is there an identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A=\mathbb{R}^{+}), (a*b=\frac{a+b}{2}). What is true about the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=2a+b). Does this operation have an identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b+ab+2). Does this operation have an identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=\frac{a+b}{2}). Does it have an identity element?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a\ast b=\frac{a+b}{2}) is given. Does it have an identity element?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set ([0,\infty)), (a*b=\min(a,b)). Does it have an identity element?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn real numbers, (a*b=ab+1). Does it have an identity element?Class 12Relations and FunctionsBinary operationsEasy