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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 real numbers, (a*b=a-b). Choose the correct statement about this operation.Class 12Relations and FunctionsBinary operationsHard MathematicsOn natural numbers, (a*b=a^b). Which statement is correct?Class 12Relations and FunctionsBinary operationsHard MathematicsOn natural numbers, (a*b=a^b). Which property does this operation not satisfy?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b+ab). Which statement is correct?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b+2). What type of operation is it?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b+2). Which is the inverse of (a) under 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). For which (a) will inverses exist in integers under this operation?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 integers, (a*b=a+b+ab) is given. Is this operation closed on integers?Class 12Relations and FunctionsBinary operationsHard MathematicsOn positive real numbers, (a*b=\frac{ab}{2}). Which is the inverse of (a)?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 MathematicsOn real numbers, \(a*b=a+b+k ab\) is defined. If the inverse of (2) is \(-\frac{1}{2}\), what is the value of (k)?Class 12Relations and FunctionsBinary operationsHard MathematicsIn the operation (a*b=a+b-2ab) on real numbers, which element will not have an inverse?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b-2ab) is defined. What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsHard MathematicsIn the operation (a*b=a+b+ab) on real numbers, which element does not have an inverse?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b+ab) is defined. Choose the correct statement about this operation.Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A={-1,0,1}), (a*b=a+b-ab) is defined. Is it a binary operation on (A)?Class 12Relations and FunctionsBinary operationsHard