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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}\setminus{-2}), (a*b=a+b+\frac{ab}{2}). What is the inverse of (4)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b-1). What is the inverse of (8)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b+\alpha ab). If the inverses of (2) and (3) are (-1) and (-\frac{3}{2}) respectively, what is (\alpha)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{Z}), (a*b=a+b+3). What is the inverse of (4) under this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn ({0,1}), (a*b=ab). Which statement is correct for this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}\setminus{1}), (a*b=a+b-ab). What is the inverse of (a)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{Q}\setminus{0}), (a*b=\frac{ab}{2}). What is the inverse of (5)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{Z}), (a*b=a+b-2). What is the inverse of (7) under this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn the set (A=\mathbb{R}\setminus{-1}), the operation (a*b=a+b+ab) is defined. If (x) is the inverse of (5), what is the value of (x*2)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={0,1,2,3,4}), (a*b) is the remainder when (ab) is divided by (5). What is the inverse of (2)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a+b+mab) is defined. For which (m) will the inverse of (2) be (-1)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={1,2,3,6}), (a*b=\operatorname{lcm}(a,b)) is defined. Which element is the inverse of (6), if the identity is (1)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={1,2,3,4,5,6}), (a*b=\gcd(a,b)) is defined. What is the correct statement about the inverse of (4), if identity is assumed to be (6)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a+b+1) is defined. What will be the inverse of (a) in this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a+b-3) is defined. Which statement is correct?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a+b-ab) is defined. What is the inverse of (3) with respect to this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn non-zero real numbers, (a*b=\frac{ab}{2}) is defined. What will be the inverse of (5)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn the set (A={0,1,2,3}), (a*b) is defined as the remainder obtained when (a+b) is divided by (4). What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn the set of integers, (a*b=a+b-1) is defined. What is the inverse of (7) with respect to this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn the set of real numbers, the operation (a*b=a+b+ab) is defined. If (a\neq -1), what will be the inverse of (2)?Class 12Relations and FunctionsBinary operationsExpert