For real numbers x and y, we write x* y, if `x - y +sqrt2` is an irrational number. Then, the relation * is an equivalence relation.

For real numbers x and y, we write xRy iff (x - y + sqrt(2)) is an irrational number. Then, the relation ;

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

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

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

For real numbers x and y , define x\ R\ y iff x-y+sqrt(2) is an irrational number. Then the relation R is (a) reflexive (b) symmetric (c) transitive (d) none of these

For real numbers x and y, define x R y if and only if x-y +sqrt(2) is an irrational number. Is R transitive? Explain your answer.

The relation R defined in the set of real number R is as follow : R {(x,y) : x - y + sqrt2 is an irrational number} Is R transitive relation ?