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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+ab). Which statement about (a=-1) is correct?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A=\mathbb{R}\setminus{0}), (a*b=\frac{a}{b}). Choose the correct statement.Class 12Relations and FunctionsBinary operationsHard MathematicsFor (a*b=a+b+ab) on (\mathbb{R}), which form is helpful for checking associativity?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b+ab). On which set will this operation not be closed?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{Q}\setminus{0}), (a*b=\frac{ab}{2}). What is the identity element?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{Z}), (a*b=a+b-1). Which property does this operation satisfy?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{N}), (a*b=\operatorname{lcm}(a,b)) is defined. What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{N}), (a*b=\gcd(a,b)) is defined. Does an identity element exist in (\mathbb{N})?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1,2}), (a*b) is defined as the smaller of (a) and (b). What is the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1,2}), (a*b) is defined as the greater of (a) and (b). What is the identity element?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 MathematicsFor (a*b=a+b-ab) on (\mathbb{R}), what is the value of (2*3)?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 (\mathbb{R}), (a*b=a+b+k). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=ka+b). For which (k) will the operation be associative?Class 12Relations and FunctionsBinary operationsHard MathematicsIf (a*b=2a+3b), what is the simplified form of (a*(b*c))?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a-b) is defined. Choose the correct statement.Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a^2+b^2) is defined. Which property does this operation satisfy?Class 12Relations and FunctionsBinary operationsHard