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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}), the operation (a*b=a+b+4) is defined. What is its identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b+\lambda). For which (\lambda) will the identity element be (5)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b-2ab). Which element has no inverse?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={1,2,4,5}), (a*b) is the remainder when (ab) is divided by (6). Which statement is correct?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={1,2,3,6}), (a*b=\operatorname{lcm}(a,b)). What is the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={1,2,3,6}), (a*b=\gcd(a,b)). What is the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{N}), (a*b=\operatorname{lcm}(a,b)). What is the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}\setminus{-\frac{1}{k}}), (a*b=a+b+kab), where (k\neq 0). What is the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b-ab). What is the identity element?Class 12Relations and FunctionsBinary operationsExpert 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 non-zero real numbers, (a*b=\frac{ab}{2}). What is the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={1,2,3,4}), (a*b=\min(a,b)). What is the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A={1,2,3,4}), (a*b=\max(a,b)). Which is the identity element?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 MathematicsOn the set (A=\mathbb{R}\setminus{-1}), the operation (a*b=a+b+ab) is defined. What is the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsIf (a*b=a+b+\lambda ab) and (\lambda\neq0), what is the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsIf (a*b=a+b-2ab), what is the identity element of this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-ab). Which element has no inverse?Class 12Relations and FunctionsBinary operationsHard