**Press Release goes in here Answer: D.**
**Explanation:**

Let us understand |a+3|=|b+3|, which shows the distance between ‘a’ and ‘-3’ is same as distance between ‘b’ and ‘-3’.

Case (i) If ‘a’ and ‘b’ are same side of -3, then a=b and a + 3 = b + 3.

Product ab can be 0 or positive. i.e. a.b ≥ 0 and this implies a + b can have any value.

Case (ii) If ‘a’ and ‘b’ are either sides of -3, then a not equals to b and a + 3 = – (b + 3).

Product ab can be 0 or negative or positive and this implies a + b = -6.

**1 alone:**

a.b < 0, implies a not equals to b, we have case (ii) and a + b = -6 (Unique Value)

Sufficient

**2 alone:** (A D)

a > 3, b < 3, implies a not equals to b, we have case (ii) and a + b = -6 (Unique Value)

Sufficient