Hi All,
If you want to do the work, then the two equations in this question can be physically graphed, so that you can "see" the points of intersection. You don't need to graph the equations to answer this question, but you have to recognize the rarer graphing rule in this question:
The equation X^2 + Y^2 = 4 is a circle, centered around the Origin, with a radius of 2. The points (2,0), (0,2), (-2,0) and (0,-2) are all on the circumference of the circle
The equation X + Y = 2 can be rewritten as Y = -X + 2 and will be a straight line.
By definition, the line will intersect with the circle at either 0, 1 or 2 points.
Knowing the above 4 "obvious" points on the circle will allow you to quickly find 2 points on the line: (2,0) and (0,2). Then you can stop; a line can't intercept a circle at more than 2 points.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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