Hi jaspreetsra,
You'll find this DS question easier to deal with if you draw a graph (as a general rule, graphing questions are usually easier to solve if you physically draw them). Try graphing the details described by the prompt step-by step...
Step 1) Graph the points (-3, -3) and (1, -3).
We're asked if point R is EQUIDISTANT from those 2 points.
Fact 1: The X-coordinate of point R is -1.
This means that we're looking for ANYTHING that fits the description (-1, Y).
Step 2) Pick ANY value you want for Y, then graph the point. Then pick another and another. Graph them both. You should notice that you form a straight vertical line and that every point is equidistant from (-3, -3) and (1, - 3).
Fact 1 is SUFFICIENT
Fact 2: Point R lies on the line Y = -3
This means that we're looking for ANYTHING that fits the description (X, -3)
Step 3) Pick ANY value you want for X, then graph the point. You'll find that every point is NOT equidistant EXCEPT for (-1, -3).
Fact 2 is INSUFFICIENT.
Final Answer: A
GMAT assassins aren't born, they're made,
Rich