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Commutative

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) is defined. Choose the correct statement about this operation.Class 12Relations and FunctionsBinary operationsHard MathematicsOn positive real numbers, (a*b=\sqrt{ab}) is defined. Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b+5) is defined. Which type of operation is it?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={0,1,2,3}), (a*b=|a-b|) is defined. Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=3a+3b-2ab) is defined. Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b-ab) is defined. Choose the correct statement for this operation.Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=\frac{a+b}{2}) is defined. Which property does this operation have?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn integers, (a*b=ab+1) is defined. Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a^2+b^2) is defined. Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn integers, (a*b=a+b+1) is defined. Choose the correct statement about this operation.Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a+kb) and (2*3=3*2) must hold for unequal values like (2,3), what is (k)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=ka+b) and the operation is commutative, what should be the value of (k)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a+b-1), is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=\frac{a+b}{1+ab}), where (1+ab\neq 0), is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a+b+ab), choose the correct statement about (a*b=b*a).Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a+b-ab), why is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=\frac{a+b}{2}) is given. Is this operation commutative?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a^2+b^2), why is this operation commutative?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a*b=|a-b|), what property is shown by (9*4) and (4*9)?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a*b=|a-b|), what is the value of (4*9)?Class 12Relations and FunctionsBinary operationsEasy