Using statement A alone,

From statement A we can determine only the distance between point P and vertex A.

From this we cannot determine distance of point P from the sides of the triangle.

∴ The question can not be answered by using statement A alone.

Using statement B alone,

Since we know the co-ordinates of vertices B and C, we can find the length of the sides of the equilateral ∆ ABC.

∴ We can determine the height of ∆ ABC.

Let

*s* and

*h *be the side and height of ∆ ABC respectively.

Now, Area of ∆ ABC = Area of ∆ ABP + Area of ∆ ACP + Area of ∆ BPC

∴

*h* = PD + PF + PE

As the length of each side of ∆ ABC is known, the height

*h* can be determined.

∴ The question can be answered by using statement B alone.

Hence, option 2.