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

MathematicsOn (\mathbb{R}), (a*b=a+b+1). What is the inverse of (a) under this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn non-zero real numbers, (a*b=\frac{ab}{2}). Which is the inverse of (a)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={0,1,2,3}), (a*b) is the remainder when (a+b) is divided by (4). What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{Z}), (a*b=a+b-3). What is the inverse of (a) under this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A=\mathbb{R}\setminus{-1}), (a*b=a+b+ab). What is the inverse of (a)?Class 12Relations and FunctionsBinary operationsExpert MathematicsIn (a*b=a+b+\lambda ab) on (\mathbb{R}), (\lambda=2). What is the inverse of (4)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-3). What is the inverse of (8)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}\setminus{1}), (a*b=a+b-ab). What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b+3ab). What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1,2,3}), (a*b) is the remainder when (ab) is divided by (4). Which element has a multiplicative inverse?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1,2,3}), (a*b) is the remainder when (a+b) is divided by (4). What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-2ab). What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-2ab). Which element will not have an inverse?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{Q}\setminus{0}), (a*b=\frac{ab}{2}). What will be the inverse of (a)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{Z}), (a*b=a+b-1). What is the inverse of (5)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-ab). Which element is the inverse of (2)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b+5). What is the inverse of (a)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn \(A=\mathbb{R}\setminus\left{-\frac{1}{\lambda}\right}\), \(a*b=a+b+\lambda ab\), where \(\lambda\neq0\). What is the inverse of (a)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b+\lambda ab). When will the inverse of (a) be undefined?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b-ab). Which element has no inverse under this operation if the set is the whole (\mathbb{R})?Class 12Relations and FunctionsBinary operationsHard