for real number x and y , defi rne a relationR, xR y if and only if x-y+21/2is an iirational number.then the relation R is

Ans:
Hello Student,
Please find solution to your question below

Relation is defined
x R y such that
x – y + (2)^1/2is an irrational number.
Let a to be an irrational number.
Then,


This is similar to straight line.
So for every input, there is one output
So, R is one – one relation.
Since range is equal to co domain, R is onto also.
Finaaly, R is one – one & onto relation.