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Identity

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

MathematicsOn (\mathbb{Q}\setminus{0}), (a*b=\frac{ab}{2}). What is the identity element?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+k). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn positive real numbers, (a*b=\sqrt{ab}) is defined. Does this operation have an identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b+\lambda ab). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn integers, (a*b=a+b-2). Which is the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A=\mathbb{R}\setminus{0}), (a*b=\frac{ab}{2}). Which statement is correct?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=ab+a+b+1). Does this operation have an identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={1,2,3,4}), (a*b) is the remainder when (ab) is divided by (5). Which is the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={0,1,2}), (a*b) is defined as the remainder when (a+b) is divided by (3). What is the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn integers, (a*b=a+b-1). Which will be the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A=\mathbb{R}\setminus{0}), (a*b=ab). Which statement is correct for this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={1,2,3,4}), (a*b=\max(a,b)). What is the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={1,2,3,4}), (a*b=\min(a,b)). Which is the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn integers, (a*b=a+b+ab). Which is the identity element of this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A=\mathbb{R}\setminus{1}), (a*b=a+b-ab). What is the inverse of (a)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn the set (A=\mathbb{R}\setminus{1}), the operation (a*b=a+b-ab) is given. Which element is the identity for this operation?Class 12Relations and FunctionsBinary operationsHard