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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 (A={1,2,3,4,6,12}), (a*b) is the least common multiple of (a) and (b). What is the identity element?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=a+b-4) is defined. What will be the inverse of (7)?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=a+b-ab) is defined. Choose the correct statement for this operation.Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=a+2b) is defined. Is this operation associative?Class 12Relations and FunctionsBinary operationsMediumMathematicsIf (a*b=2a+b), what is the value of ((1*2)*3)?Class 12Relations and FunctionsBinary operationsMediumMathematicsFor (a*b=a+b+ab) on real numbers, what is the value of (1*2)?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=a+b-3) is defined. What is the inverse of (5)?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=a+b-3) is defined. What is the identity element?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn (A={1,2,3}), (a*b=b) is defined. Which statement is correct?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn (A={1,2,3,4}), (a*b=a) is defined. Which statement is correct?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=a+b+ab) is defined. Which element does not have an inverse under this operation?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=a+b+ab) is defined. What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=\frac{a+b}{2}) is defined. Which property does this operation have?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn integers, (a*b=ab+1) is defined. Is this operation associative?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn integers, (a*b=ab+1) is defined. Is this operation commutative?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn natural numbers, (a*b=a-b) is defined. Is this a binary operation?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn natural numbers, (a*b=a+b) is defined. Is this a binary operation?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=a+b-ab) is defined. For (a\neq1), what is the inverse of (a)?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=a+b-ab) is defined. What is the identity element?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn (A={0,1,2,3}), (a*b) is the remainder obtained when (a+b) is divided by (4). What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsMedium

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