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Class 12MathematicsRelations and FunctionsBinary operationsEasy
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If (a,b\in A) implies (a*b\in A), which property does this show?

Answer and explanation

Correct answer: Closure

Step 1: Closure means the result does not leave the set after the operation. Step 2: Here (a*b) again lies in (A), so closure holds. Step 3: Closure is the first sign to check in binary operation questions.

Related tags

ClosureBinary OperationRelations FunctionsBinary OperationsRelations And FunctionsMathematicsClass 12 Mcq
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10 more MCQs
  1. 1What is the correct meaning of a binary operation on a set (A)?
  2. 2Why is usual addition (+) a binary operation on the set of natural numbers (\mathbb{N})?
  3. 3Why is usual subtraction (-) not a binary operation on the set of natural numbers (\mathbb{N})?
  4. 4How is usual multiplication (\times) on the set of integers (\mathbb{Z})?
  5. 5Why is usual division (\div) not a binary operation on the set of integers (\mathbb{Z})?
  6. 6If (a*b=a+b) is defined on real numbers, what type of operation is it?
  7. 7If (a*b=a-b) is defined on real numbers, which statement is correct?
  8. 8On real numbers, (a*b=a+b+1). What is the identity element of this operation?
  9. 9On real numbers, (a*b=a+b+ab). Which is the identity element of this operation?
  10. 10On real numbers, (a*b=ab+1). Does it have an identity element?
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