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Binary Operation

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

MathematicsThe operation (a\ast b=a) is given on a set (A). What is the nature of this operation?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set (A={0,1,2}), (a\ast b) is defined as the remainder when (a+b) is divided by (3). What is (2\ast 2)?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a\ast b=a+b-ab), what is (0) for this operation?Class 12Relations and FunctionsBinary operationsEasy MathematicsFor the operation (a\ast b=a+2b), find the value of (3\ast 4).Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set of integers (Z), the operation (a\ast b=a+b+1) is given. Which statement is correct?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set of natural numbers (N), the operation (a\ast b=a-b) is given. Is it a binary operation on (N)?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set (A={1,2,3}), an operation (\ast) is defined by (a\ast b=a). Is it a binary operation?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn rational numbers, what type is (a*b=\frac{a+b}{2})?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf an operation table contains an element outside the set (A), what conclusion follows?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf every entry in the table of a binary operation belongs to the same set, what does it indicate?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set (A={1,2}), (a*b=b) is defined. What is the value of (1*2)?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a*b=e) and (b*a=e), where (e) is the identity element, what is (b) called for (a)?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (e) is an element such that (a*e=e*a=a) for every (a), what is (e) called?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf ((a*b)*c=a*(b*c)) is true for every (a,b,c), which property is it?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a*b=b*a) is true for every (a,b) in a binary operation, what is the operation called?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set ({0,1}), (a*b) is the remainder of (a+b) on division by (2). What is the inverse of (1)?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set ({0,1}), (a*b) is the remainder obtained when (a+b) is divided by (2). What is the identity element?Class 12Relations and FunctionsBinary operationsEasy MathematicsWhy is usual addition not a binary operation on the set ({0,1})?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set of integers (\mathbb{Z}), what type is (a*b=|a-b|)?Class 12Relations and FunctionsBinary operationsEasy MathematicsWhat is the inverse of (5) under usual multiplication?Class 12Relations and FunctionsBinary operationsEasy