Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XII  >>  Math  >>  Relations and Functions
0 votes

Determine whether or not each of the definition of $\ast$ given below gives a binary operation. In the event that $\ast$ is not a binary operation, give justification for this: (v)On $Z^+,define \;\ast\;by\;a\;\ast\;b=a.$

Note: This is part 5 of a 5 part question, split as 5 separate questions here.
Can you answer this question?

1 Answer

0 votes
  • A binary operation $∗$ on a set $A$ is a function $∗$ from $A \times A$ to $ A$. Therefore, if $a,b \in A \Rightarrow a*b \in A\; \forall\; a,b, \in A$
Given On $Z^+$ defined $*$ by $a*b=a$
For each pair of element $a,b \in Z_+,*$ carries (a,b) to unique element $a \in Z+$
Therefore it is a binary operation.
answered Mar 13, 2013 by sreemathi.v
edited Mar 19, 2013 by balaji.thirumalai

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App