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Real Numbers

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+2). What type of operation is it?Class 12Relations and FunctionsBinary operationsLevel 29HardMathematicsOn real numbers, (a*b=a+b+2). Which is the inverse of (a) under this operation?Class 12Relations and FunctionsBinary operationsLevel 29HardMathematicsOn the set (A=\mathbb{R}\setminus{1}), the operation (a*b=a+b-ab) is given. Which element is the identity for this operation?Class 12Relations and FunctionsBinary operationsLevel 29HardMathematicsIn the operation (a*b=a+b+ab) on real numbers, which element does not have an inverse?Class 12Relations and FunctionsBinary operationsLevel 28HardMathematicsOn real numbers, (a*b=a+b-2ab) is defined. What is the identity element?Class 12Relations and FunctionsBinary operationsLevel 30MediumMathematicsOn real numbers, (a*b=a+b+2ab) is defined. What is the identity element?Class 12Relations and FunctionsBinary operationsLevel 30MediumMathematicsOn real numbers, (a*b=a+2b) is defined. Is this operation associative?Class 12Relations and FunctionsBinary operationsLevel 30MediumMathematicsOn real numbers, (a*b=a+b+ab) is defined. Which element does not have an inverse under this operation?Class 12Relations and FunctionsBinary operationsLevel 30MediumMathematicsOn real numbers, (a*b=a+b+ab) is defined. What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsLevel 30MediumMathematicsOn real numbers, (a*b=a+b-ab) is defined. What is the identity element?Class 12Relations and FunctionsBinary operationsLevel 30MediumMathematicsOn real numbers, (a*b=a+2b) is defined. When will this operation be commutative?Class 12Relations and FunctionsBinary operationsLevel 30MediumMathematicsOn real numbers, (a*b=a^2+b^2) is defined. Is this operation commutative?Class 12Relations and FunctionsBinary operationsLevel 30MediumMathematicsOn real numbers, (a*b=a+b-2) is defined. What is the inverse of (3) under this operation?Class 12Relations and FunctionsBinary operationsLevel 30MediumMathematicsOn real numbers, (a*b=a+b+ab) is defined. What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsLevel 30MediumMathematicsFor (a*b=a+b-ab) on real numbers, which element does not have an inverse?Class 12Relations and FunctionsBinary operationsLevel 29MediumMathematicsFor (a*b=a+b+ab) on real numbers, which element does not have an inverse?Class 12Relations and FunctionsBinary operationsLevel 29MediumMathematicsOn real numbers, (a*b=a+b-ab). What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsLevel 29MediumMathematicsOn real numbers, (a*b=a+b+ab). What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsLevel 29MediumMathematicsOn real numbers, (a*b=a+b+4). Which is the correct inverse of (10)?Class 12Relations and FunctionsBinary operationsLevel 29MediumMathematicsOn real numbers, (a*b=a+b+4). What is the inverse of (10)?Class 12Relations and FunctionsBinary operationsLevel 29Medium