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

MathematicsOn real numbers, (a*b=a+b+ab) is defined. Which element does not have an inverse?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b-2ab) is defined. What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b+kab) is defined. If the product of (2) and (3) is (11), what is the value of (k)?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn (\mathbb{R}), the operation (a*b=a+b-2ab) is defined. What is the absorbing element of this operation?Class 12Relations and FunctionsBinary operationsLevel 28Hard MathematicsOn (\mathbb{R}), (a*b=\frac{a+b}{2}). What is the correct statement about its identity element?Class 12Relations and FunctionsBinary operationsLevel 28Hard MathematicsOn (\mathbb{R}), (a*b=a+b+ab). What is the absorbing element of this operation?Class 12Relations and FunctionsBinary operationsLevel 28Hard MathematicsOn (\mathbb{R}), (a*b=a+b-2). What is the inverse of (-3)?Class 12Relations and FunctionsBinary operationsLevel 28Hard MathematicsOn (\mathbb{R}), (a*b=a+b-2). What will be the identity element?Class 12Relations and FunctionsBinary operationsLevel 28Hard MathematicsOn (\mathbb{R}), (a*b=a+b+ab). Which number does not have an inverse?Class 12Relations and FunctionsBinary operationsLevel 28Hard MathematicsOn (\mathbb{R}), (a*b=a+b-ab). What is the inverse of (4)?Class 12Relations and FunctionsBinary operationsLevel 28Hard MathematicsOn (\mathbb{R}), the operation (a*b=a+b+4) is defined. What is its identity element?Class 12Relations and FunctionsBinary operationsLevel 28Hard MathematicsOn (\mathbb{R}), (a*b=a+b+\lambda). For which (\lambda) will the identity element be (5)?Class 12Relations and FunctionsBinary operationsLevel 28Expert MathematicsOn (\mathbb{R}), (a*b=a+b-2ab). Which element has no inverse?Class 12Relations and FunctionsBinary operationsLevel 28Expert MathematicsOn (\mathbb{R}), (a*b=|a-b|). Is there an identity element?Class 12Relations and FunctionsBinary operationsLevel 28Expert MathematicsOn (\mathbb{R}), (a*b=a+b+ab). Which condition is necessary and sufficient for (a*b=b)?Class 12Relations and FunctionsBinary operationsLevel 28Expert MathematicsOn (\mathbb{R}), (a*b=a+b-ab). When will (a*b=1)?Class 12Relations and FunctionsBinary operationsLevel 28Expert MathematicsOn (\mathbb{R}), (a*b=a+2b). Choose the correct statement.Class 12Relations and FunctionsBinary operationsLevel 28Expert MathematicsOn (\mathbb{R}), (a*b=a^2+b^2). Is this operation associative?Class 12Relations and FunctionsBinary operationsLevel 28Expert MathematicsOn (\mathbb{R}), (a*b=a^2+b^2). Why is this operation commutative?Class 12Relations and FunctionsBinary operationsLevel 28Expert MathematicsOn (\mathbb{R}), (a*b=a+b-ab). What is the identity element?Class 12Relations and FunctionsBinary operationsLevel 28Expert