**Concept: The question tests on the application of Algebra in a DS format**

**Solution:**

Simplifying the following expression, we have

xy(x−y)/(1/x−1/y)

=xy(x−y) / (y−x/xy)

=−(x2y2)

=−(xy)^2

So all we need is the value of x and y or the value of xy to answer the question**Statement 1:** xy = 6. This is sufficient to answer the question as shown above. Answer Options could be A or D **(Sufficient) **

**Statement 2:** x - y = 1. This statement is insufficient as we can only derive the fact that x = y + 1, and we can get multiple answers for the same. **(Insufficient) **

**Option A**