Data Sufficiency

If X and Y are positive, is X/Y+Y/X>2?

1. X does not equal Y
2. X and Y are integers which do not have common divisors except 1
[spoiler]
OA is A
I marked D,

our question can be ( X - Y ) ^ 2 > 0 , or ( Y - X ) ^ 2 > 0

II statement

Both are integers and don't have a common divisor except 1 ,
it means one must be even and other must be odd, or both are prime numbers
In any case or with any combination will left with an integer
so square of it must be greater than 0,

Please correct me guys, where i am wrong in this. [/spoiler]

I) as you said, (x-y)^2 > 0, if they are not equal it will be greater than 0

II) (3 - 2) ^2 = 1 > 0 OK
(1 - 1)^2 = 0 , which is not > 0, therefore not ok

choice 2 is insufficient