# Q.1 Determine whether or not each of the definition of ∗ given below gives a binary operation. In the event that ∗ is not a binary operation, give justification for this.(iv) On $Z^+$, define ∗ by $a * b = | a - b |$

(iv) On $Z^+$, define ∗ by $a * b = | a - b |$

We can observe that for $a,b \in Z^+$,there is a unique element $| a - b |$  in $Z^+$.

This means * carries each pair $(a,b)$  to a unique element $a * b = | a - b |$ in $Z^+$.

Therefore,* is a binary operation.

## Related Chapters

### Preparation Products

##### JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
##### Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
##### Knockout JEE Main April 2021 (Subscription)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
##### Knockout JEE Main April 2022 (Subscription)

Knockout JEE Main April 2022 Subscription.

₹ 5499/-