Statement I: We have (x + y)2 < (x – y)2
⇒ x2 + y2 + 2xy < x2 + y2 – 2xy
⇒ 4xy < 0 ⇒ xy < 0. Hence statement I is sufficient.
Statement II: It is given that x – y is positive. Now here both x and y can be positive with x > y or x can be positive and y can be negative. So xy can be positive or negative. Therefore statement II is insufficient.