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Binary Operations

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

MathematicsOn (\mathbb{R}), the operation (a*b=a+b-2ab) is defined. What is the absorbing element of this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), the operation (a*b=a+b-2ab) is defined. What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=2a+3b). If (x*2=16), what is the value of (x)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b+1). If (x*3=7), what is the value of (x)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=\frac{a+b}{2}). What is the correct statement about its identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A=\mathbb{R}-{1}), (a*b=a+b-ab). What is the value of ((2*3)*4)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={1,2,3,4}), (a*b) is the remainder when (ab) is divided by (5). What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1,2,3,4,5,6}), (a*b) is the remainder when (a+b) is divided by (7). What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1,2,3}), (a*b) is the remainder obtained when (a+b) is divided by (4). What is the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=\sqrt{a^2+b^2}). What is its identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}-{0}), (a*b=\frac{a}{b}). What is the correct conclusion about associativity?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-ab). Which statement about this operation is correct?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A=\mathbb{R}-{1}), (a*b=a+b-ab). Why is it closed in (A)?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}), (a*b=a+b+ab). What is the absorbing element of this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1}), (a*b=a+b-ab). Which element is absorbing?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1}), (a*b=ab). Which is the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1}), (a*b=|a-b|). What is its identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-2). What is the inverse of (-3)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-2). What will be the identity element?Class 12Relations and FunctionsBinary operationsHard