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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\ast b=a+b+1), what is the value of ((2\ast3)\ast4)?Class 12Relations and FunctionsBinary operationsEasyMathematicsIf (a\ast b=a+b+1), what is the value of (2\ast(3\ast4))?Class 12Relations and FunctionsBinary operationsEasyMathematicsIn the operation (a\ast b=2ab), what is the inverse of (4)?Class 12Relations and FunctionsBinary operationsEasyMathematicsIn the operation (a\ast b=2ab), (\frac{1}{2}) is the identity. What is the inverse of (4)?Class 12Relations and FunctionsBinary operationsEasyMathematicsThe operation (a\ast b=2ab) is given on non-zero real numbers. What is the identity element?Class 12Relations and FunctionsBinary operationsEasyMathematicsIf (a\ast b=a+b-5), what is the inverse of (2)?Class 12Relations and FunctionsBinary operationsEasyMathematicsIf (a\ast b=a+b-5), what is the identity element of this operation?Class 12Relations and FunctionsBinary operationsEasyMathematicsIf (a\ast b=a+b-5), what is the value of (7\ast 3)?Class 12Relations and FunctionsBinary operationsEasyMathematicsThe operation (a\ast b=b) is given on a set (A). What will be the value of (x\ast y)?Class 12Relations and FunctionsBinary operationsEasyMathematicsThe operation (a\ast b=a) is given on a set (A). What is the nature of this operation?Class 12Relations and FunctionsBinary operationsEasyMathematicsOn the set of real numbers (R), (a\ast b=\frac{a}{b}) is given. Is it a binary operation?Class 12Relations and FunctionsBinary operationsEasyMathematicsOn the set of non-zero real numbers, (a\ast b=\frac{a}{b}) is given. Is it a binary operation?Class 12Relations and FunctionsBinary operationsEasyMathematicsOn the set of odd integers, (a\ast b=ab) is given. Is it a binary operation?Class 12Relations and FunctionsBinary operationsEasyMathematicsOn the set of even integers, (a\ast b=ab) is given. Is it a binary operation?Class 12Relations and FunctionsBinary operationsEasyMathematicsOn the set of odd integers, (a\ast b=a+b) is given. Is it a binary operation?Class 12Relations and FunctionsBinary operationsEasyMathematicsOn the set of even integers, (a\ast b=a+b) is given. Is it a binary operation?Class 12Relations and FunctionsBinary operationsEasyMathematicsOn integers, the operation (a\ast b=\frac{a+b}{2}) is given. Is it a binary operation on (Z)?Class 12Relations and FunctionsBinary operationsEasyMathematicsThe operation (a\ast b=a^2+b^2) is given on real numbers. Is it a binary operation on (R)?Class 12Relations and FunctionsBinary operationsEasyMathematicsOn real numbers, (a\ast b=\frac{a+b}{2}) is given. Does it have an identity element?Class 12Relations and FunctionsBinary operationsEasyMathematicsOn positive real numbers, (a\ast b=\frac{ab}{2}) is given. What is the identity element?Class 12Relations and FunctionsBinary operationsEasy

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