dreamv wrote:A certain circular area has its center at point P and has radius 4, and points X and Y lie in the same plane as the circular area. Does point Y lie outside the circular area?

1) The distance between point P and point X is 4.5
2) The distance between point P and point Y is 9.

I. If the distance between point P and point X is 4.5, then point X is definitely lying outside the circular area, but this is not answering the question in question. Insufficient

II. If the distance between point P and point Y is 9, then YES! point Y is definitely lying outside the circular area. Sufficient


Take B

It was on GMATPrep. I chose B, too. But OA is not B. What does "Point X and Y lie in the same plane as the circular area" mean here? Some drawing might help, but I am not quite sure about the language here.

dreamv wrote:It was on GMATPrep. I chose B, too. But OA is not B. What does "Point X and Y lie in the same plane as the circular area" mean here? Some drawing might help, but I am not quite sure about the language here.

Sanju's solution is correct but your question isn't.
Statement II is The distance between point X and Y is 9. and not The distance between point P and point Y is 9.

The correct answer is C
Hope it helps

A certain circular area has its center at point P and has radius 4, and points X and Y lie in the same plane as the circular area. Does point Y lie outside the circular area?

1) The distance between point P and point X is 4.5
2) The distance between point P and point Y is 9.

I was not asking about statement II. I was asking about the language in the stimulus in red. How did you get to "C". Could you please explain ?

That is exactly what I have mentioned in the above post. Question statement II posted by you is INCORRECT. It is NOT
2) The distance between point P and point Y is 9. BUT is
2) The distance between point X and point Y is 9.

So, the question is

A certain circular area has its center at point P and has radius 4, and points X and Y lie in the same plane as the circular area. Does point Y lie outside the circular area?

1) The distance between point P and point X is 4.5.

We can tell that point X lies outside the circular area, but we are not sure of the location of point Y. Hence Insufficient!

2) The distance between point X and point Y is 9.

Insufficient to answer the question as it doesn't speak of the point positions with respect to the circular area.

From 1 and 2

<<Please refer to the attachment>>,
All points on the circumference of the grey coloured circle = Values of X
All points on the circumference of the green coloured circle = Values of Y
The diagram shows that point Y is always outside the circular area. Hence, sufficient to answer the question

Answer C

The statement points X and Y lie in the same plane as the circular area. indicates that Points X,Y and the circular area are on the same plane.
i.e. If x,y are on XY axis then the circular area is also on XY axis.
If x,y are on YZ axis then the circular area is also on YZ axis.
If x,y are on ZX axis then the circular area is also on ZX axis.

Oh, I got it. Sorry for typo. That's why I got confused..I corrected on my original posting. Thank you for your explanation and drawing.