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Identity Element

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+1), what is the identity element (e)?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a*b=ab), what will be the identity element?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a*b=a+b), what is the identity element?Class 12Relations and FunctionsBinary operationsEasy MathematicsThe operation (a\ast b=2ab) is given on non-zero real numbers. What is the identity element?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a\ast b=a+b-5), what is the identity element of this operation?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn real numbers, (a\ast b=\frac{a+b}{2}) is given. Does it have an identity element?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn positive real numbers, (a\ast b=\frac{ab}{2}) is given. What is the identity element?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn (A={0,1,2}), (a\ast b) is the remainder of (a+b) upon division by (3). What is the identity element?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a\ast b=a+b-ab), what is (0) for this operation?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn (A={1,2,3,4}), (a\ast b=\min(a,b)). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set (A={1,2,3,4}), (a\ast b=\max(a,b)) is given. What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a\ast b=a+b+ab), what is the identity element of this operation?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a\ast b=a+b-1), what is the identity element of this operation?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a\ast b=a+b-2) is defined on real numbers, find the identity element.Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set of real numbers (R), the operation (a\ast b=ab) is given. What is the identity element?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn real numbers, what is the identity element for (a*b=a+b+2)?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 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 MathematicsOn the set ({1,2,3}), (a*b=\max(a,b)). What is the identity element?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set ({1,2,3}), (a*b=\min(a,b)). What is the identity element?Class 12Relations and FunctionsBinary operationsEasy