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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 real numbers, (a*b=a+b-ab). What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b-ab). Which is the identity element of this operation?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn integers, (a*b=a+2b). Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a^2+b^2). Is this operation associative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={0,1}), (a*b=a+b-ab). What is the identity element?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={0,1}), (a*b=a+b-ab). What is the value of (1*1)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn integers, (a*b=a+b+ab). Which statement is correct about the inverse of (-1)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn positive real numbers, (a*b=\frac{ab}{2}). What is the inverse of (6)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn positive real numbers, (a*b=\frac{ab}{2}). What is the identity element?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b+ab). Is this operation associative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn integers, (a*b=a+b+1). Is this operation associative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b+ab). Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a-b). Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={1,2,3}), (a*b=\min(a,b)). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={1,2,3}), (a*b=\max(a,b)). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a+b+ab), under what result condition do we find the inverse of (2)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b+ab). Which is the identity element for this operation?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn integers, (a*b=a+b-3). What is the inverse element of (5)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b+2). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf the operation (a*b) on (S={0,1,2,3}) is defined as the remainder when (a+b) is divided by (4), then is this operation closed on (S)?Class 12Relations and FunctionsBinary operationsMedium