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Binary Operation

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+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 MathematicsIf (a*b=a+kb) and (2*3=3*2) must hold for unequal values like (2,3), what is (k)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a+b+k) and the identity element is (-4), what is the value of (k)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a+b) is taken on the set of even integers, what is the correct statement about closure?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={1,2,3,4}), (a*b) is defined as the smaller of (a) and (b). What is the value of (3*1)?Class 12Relations and FunctionsBinary operationsMedium MathematicsOn (A={1,2,3,4}), (a*b) is defined as the greater of (a) and (b). What is the value of (2*4)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=|a-b|) and (x*4=3), which natural value of (x) is possible?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a+b+ab) and (x*2=8), what is the value of (x)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=ab+a+b), in which form can (a*b) be written?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a+b+2), what is the correct statement about associativity?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a+b+2), what is the value of (1*(2*3))?Class 12Relations and FunctionsBinary operationsMedium