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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।

MathematicsIf (a*b=a+b+4), what is the value of ((3*2)*1)?Class 12Relations and FunctionsBinary operationsMediumMathematicsIf (a*b=a+b+4), what is the value of (3*(2*1))?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn integers, (a*b=a+b+4). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=a+b+4). Which is the correct inverse of (10)?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=a+b+4). What is the inverse of (10)?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn (A={1,2,3,4}), (a*b=\max(a,b)). Which statement is correct about the inverse of (2)?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn (A={1,2,3,4}), (a*b=\min(a+b,4)). Is this operation closed on (A)?Class 12Relations and FunctionsBinary operationsMediumMathematicsIf (a*b=a+3b), which statement about (2*4) and (4*2) is correct?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn integers, (a*b=a+b+ab). What is the value of (2*3)?Class 12Relations and FunctionsBinary operationsMediumMathematicsFor (a*b=a+b-ab) on real numbers, which is a useful rewritten form?Class 12Relations and FunctionsBinary operationsMediumMathematicsIf (a*b=a+b+ab), which form can be used to rewrite (a*b)?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn (A={0,1,2}), (a*b) is the remainder when (ab) is divided by (3). What is the identity element?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn (A={0,1,2}), (a*b) is the remainder when (ab) is divided by (3). What is (2*2)?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn integers, (a*b=a+b-1). What is the inverse of (7)?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn integers, (a*b=a+b-1). What is the identity element?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=\frac{a+b}{2}). Does it have an identity element?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn real numbers, (a*b=\frac{a+b}{2}). Is this operation commutative?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn integers, (a*b=a^2+b^2). Is this operation closed?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn natural numbers, (a*b=a-b). Is this operation closed on natural numbers?Class 12Relations and FunctionsBinary operationsMediumMathematicsOn natural numbers, (a*b=a+b). Is this operation closed on natural numbers?Class 12Relations and FunctionsBinary operationsMedium

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