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Closure

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) is taken on the set of multiples of (3), what type of operation is it?Class 12Relations and FunctionsBinary operationsLevel 28Medium MathematicsFor (a*b=a+b) on the set of odd integers, what is the correct statement about closure?Class 12Relations and FunctionsBinary operationsLevel 28Medium MathematicsIf (a*b=a+b) is taken on the set of even integers, what is the correct statement about closure?Class 12Relations and FunctionsBinary operationsLevel 28Medium MathematicsOn rational numbers, (a*b=\frac{a+b}{2}) is given. Why is this operation closed?Class 12Relations and FunctionsBinary operationsLevel 28Medium MathematicsOn natural numbers, (a*b=a-b) is given. Which example disproves closure?Class 12Relations and FunctionsBinary operationsLevel 28Medium MathematicsOn integers, (a*b=a+b+1) is defined. Is this operation closed?Class 12Relations and FunctionsBinary operationsLevel 28Medium MathematicsWhich operation is not closed on the set (Z) of integers?Class 12Relations and FunctionsBinary operationsLevel 30Easy MathematicsWhich rule gives a closed operation on the set (N) of natural numbers?Class 12Relations and FunctionsBinary operationsLevel 30Easy MathematicsOn (A={1,2,3}), (a*b=a) is given. Why is this operation closed in (A)?Class 12Relations and FunctionsBinary operationsLevel 30Easy MathematicsOn the set (A={0,1,2}), (a*b=a+b) is given. Is it closed in (A)?Class 12Relations and FunctionsBinary operationsLevel 30Easy MathematicsOn the set of non-zero real numbers, (a\ast b=\frac{a}{b}) is given. Is it a binary operation?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsOn the set of odd integers, (a\ast b=ab) is given. Is it a binary operation?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsOn the set of even integers, (a\ast b=ab) is given. Is it a binary operation?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsOn the set of odd integers, (a\ast b=a+b) is given. Is it a binary operation?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsOn the set of even integers, (a\ast b=a+b) is given. Is it a binary operation?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsOn integers, the operation (a\ast b=\frac{a+b}{2}) is given. Is it a binary operation on (Z)?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsThe operation (a\ast b=a^2+b^2) is given on real numbers. Is it a binary operation on (R)?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsOn the set of integers (Z), the operation (a\ast b=a+b+1) is given. Which statement is correct?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsOn the set of natural numbers (N), the operation (a\ast b=a-b) is given. Is it a binary operation on (N)?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsOn the set (A={1,2,3}), an operation (\ast) is defined by (a\ast b=a). Is it a binary operation?Class 12Relations and FunctionsBinary operationsLevel 29Easy