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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={0,1,2}), (a*b) is the remainder obtained when (ab) is divided by (3). What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b-2ab) is defined. What is the identity element?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn positive real numbers, (a*b=\sqrt{ab}) is defined. Is this operation associative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn positive real numbers, (a*b=\sqrt{ab}) is defined. Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b+5) is defined. What is the identity element?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b+5) is defined. Which type of operation is it?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn integers, (a*b=a+b-1) is defined. What is the inverse of (4)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn integers, (a*b=a+b-1) is defined. What is the identity element?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={0,1,2,3}), (a*b=|a-b|) is defined. Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={1,2,3,4}), (a*b=|a-b|) is defined. Is this a binary operation?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={0,1,2,3,4}), (a*b) is the remainder obtained when (ab) is divided by (5). What is the identity element?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={0,1,2,3,4}), (a*b) is the remainder obtained when (a+b) is divided by (5). What is the value of (2*4)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b+2ab) is defined. What is the inverse of (1)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b+2ab) is defined. What is the identity element?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=3a+3b-2ab) is defined. Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={0,1}), (a*b=a+b-ab) is defined. What is the value of (1*0)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn natural numbers, (a*b=\frac{a+b}{2}) is defined. Is this a binary operation?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn integers, (a*b=a+b+ab) is defined. Is this operation closed on integers?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a^2+b) is defined. Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={1,2,3,4,6,12}), (a*b) is the greatest common divisor of (a) and (b). What is the identity element?Class 12Relations and FunctionsBinary operationsMedium