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Multiplication

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

MathematicsOn the set of odd integers, (a\ast b=ab) is given. Is it a binary operation?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set of even integers, (a\ast b=ab) is given. Is it a binary operation?Class 12Relations and FunctionsBinary operationsEasy MathematicsThe operation (a\ast b=ab) is given on real numbers. What is its nature?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn real numbers, (a\ast b=ab+1) is given. Is it commutative?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn the set (A={0,1}), the operation (\ast) is defined by (a\ast b=ab). What is the inverse of (1) under this operation?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 MathematicsWhy is usual multiplication a binary operation on the set ({0,1})?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=9x), why is (f) one-one?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) is given by (f(x)=2x), what type is (f)?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=5x), why is (f) one-one?Class 12Relations and FunctionsOne-one functionEasy MathematicsIf (f(x)=5x), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsEasy MathematicsIf (f(x)=\frac{x}{3}), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsEasy