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Integers

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

MathematicsIf (a*b=a+b+2ab) is defined on (\mathbb{Z}), why is it a binary operation on (\mathbb{Z})?Class 12Relations and FunctionsBinary operationsLevel 30Hard MathematicsOn integers, (a*b=a+b-2). What is the inverse of (5)?Class 12Relations and FunctionsBinary operationsLevel 29Hard MathematicsOn integers, (a*b=a+b-2). Which is the identity element?Class 12Relations and FunctionsBinary operationsLevel 29Hard MathematicsOn integers, (a*b=a+b-1). Which is the inverse of (a)?Class 12Relations and FunctionsBinary operationsLevel 29Hard MathematicsOn integers, (a*b=a+b-1). Which will be the identity element?Class 12Relations and FunctionsBinary operationsLevel 29Hard MathematicsOn integers, (a*b=a+b+ab). For which (a) will inverses exist in integers under this operation?Class 12Relations and FunctionsBinary operationsLevel 29Hard MathematicsOn integers, (a*b=a+b+ab). Which is the identity element of this operation?Class 12Relations and FunctionsBinary operationsLevel 29Hard MathematicsOn integers, (a*b=a+b+ab) is given. Is this operation closed on integers?Class 12Relations and FunctionsBinary operationsLevel 29Hard MathematicsOn integers, (a*b=a+b-1) is defined. What is the inverse of (4)?Class 12Relations and FunctionsBinary operationsLevel 30Medium MathematicsOn integers, (a*b=a+b-1) is defined. What is the identity element?Class 12Relations and FunctionsBinary operationsLevel 30Medium MathematicsOn integers, (a*b=a+b+ab) is defined. Is this operation closed on integers?Class 12Relations and FunctionsBinary operationsLevel 30Medium MathematicsOn integers, (a*b=ab+1) is defined. Is this operation associative?Class 12Relations and FunctionsBinary operationsLevel 30Medium MathematicsOn integers, (a*b=ab+1) is defined. Is this operation commutative?Class 12Relations and FunctionsBinary operationsLevel 30Medium MathematicsOn integers, (a*b=ab). Does (2) have an inverse in integers?Class 12Relations and FunctionsBinary operationsLevel 29Medium MathematicsOn integers, (a*b=a+b+4). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsLevel 29Medium MathematicsOn integers, (a*b=a+b+ab). What is the value of (2*3)?Class 12Relations and FunctionsBinary operationsLevel 29Medium MathematicsOn integers, (a*b=a+b-1). What is the inverse of (7)?Class 12Relations and FunctionsBinary operationsLevel 29Medium MathematicsOn integers, (a*b=a+b-1). What is the identity element?Class 12Relations and FunctionsBinary operationsLevel 29Medium MathematicsOn integers, (a*b=a^2+b^2). Is this operation closed?Class 12Relations and FunctionsBinary operationsLevel 29Medium MathematicsOn integers, (a*b=a+2b). Is this operation commutative?Class 12Relations and FunctionsBinary operationsLevel 29Medium