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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 (\mathbb{R}\setminus{1}), (a*b=a+b-ab). What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A=\mathbb{R}\setminus{1}), (a*b=a+b-ab). Why is it closed on (A)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-ab). Is it associative?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-ab). Is this operation commutative?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-ab). For (a*b=0), what is (b) equal to?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b+3ab). Which element has no inverse?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b+3ab). What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsHard MathematicsIf (a*b=a+b+kab) and (k\neq0), which element will not have an inverse?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a^2+b). What prevents (0) from being an identity?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a^2+b). Choose the correct statement.Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1,2,3}), (a*b) is the remainder when (ab) is divided by (4). Which element has a multiplicative inverse?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1,2,3}), (a*b) is the remainder when (a+b) is divided by (4). What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={1,2,3,4}), (a*b=\min(a+b,4)). What is true about the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{Z}), (a*b=a+b+ab). Is it associative on (\mathbb{Z})?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-2ab). What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-2ab). Which element will not have an inverse?Class 12Relations and FunctionsBinary operationsHard MathematicsIf (a*b=a+b-2ab), what is the identity element of this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-ab). Which element has no inverse?Class 12Relations and FunctionsBinary operationsHard MathematicsIf (a*b=a+b-ab), then (1-a*b) is equal to what?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}\setminus{-1}), (a*b=a+b+ab) is given. This operation is related to which expression?Class 12Relations and FunctionsBinary operationsHard