For real numbers x andy, define x R y if...

For real numbers x andy, define x R y if x - y + `sqrt(2)` is an irrational number. Then the relation R is

A

Reflexive

B

Symmetric

C

Transitive

D

None of these

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

For real numbers x and y, we write x^(*)y, if x-y+sqrt(2) is an irrational number.Then,the relation * is an equivalence relation.

Let r be relation from R( set of real numbers) to R defined by r={(a,b)|a,b in R and a-b+sqrt(3) isan ~ irrational~ number}.~ The~ relation~ r is

Let N be the set of all natural numbers and we define a relation R={(x ,y):x, y in N , x+y is a multiple of 5} then the relation R is

For real numbers x and y define a relation RxRy hArr|x|=|y|, the relation R is

On R, a relation p is defined by xpy if and only if x - y is zero or irrational. Then

Let R={(x,y):x^(2)+y^(2)=1,x,y in R} be a relation in R. Then the relation R is