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Inverse Element

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

MathematicsOn (\mathbb{R}\setminus{-1}), for (a*b=a+b+ab), what is the inverse of (a)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn the set (\mathbb{R}\setminus{-1}), (a*b=a+b+ab) is defined. What is the inverse of (a)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1,2}), (a*b) is the remainder obtained when (ab) is divided by (3). What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b-ab) is defined. For (a\neq1), what is the inverse of (a)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn real numbers, (a*b=a+b-2) is defined. What is the inverse of (3) under this operation?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn integers, (a*b=a+b-3). What is the inverse element of (5)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a+b-1), what is the inverse of (4)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf the identity element is (-2) for (a*b=a+b+2), what is the inverse of (5)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf the identity element is (0) for (a*b=a+b-ab), what is the inverse of (3)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf the identity element is (0) for (a*b=a+b+2ab), what is the inverse of (1)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf the identity element is (0) for (a*b=a+b+ab), what is the inverse of (2)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf the identity element is (3) for (a*b=a+b-3), what is the inverse of (7)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf the identity element is (-1) for (a*b=a+b+1), what is the inverse of (2)?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf the identity element is (1) for (a*b=a+b-1), what is the inverse of (3)?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf the identity element is (1) for (a*b=ab), what is the inverse of (4)?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf the identity element is (0) for (a*b=a+b), what is the inverse of (5)?Class 12Relations and FunctionsBinary operationsEasy MathematicsIn the operation (a\ast b=2ab), what is the inverse of (4)?Class 12Relations and FunctionsBinary operationsEasy MathematicsIn the operation (a\ast b=2ab), (\frac{1}{2}) is the identity. What is the inverse of (4)?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a\ast b=a+b-5), what is the inverse of (2)?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 inverse of (1)?Class 12Relations and FunctionsBinary operationsEasy