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A certain circular area has its center at point P and has a

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Intern
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A certain circular area has its center at point P and has a [#permalink] New post 18 Oct 2008, 20:06
A certain circular area has its center at point P and has a 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 x and point y is 9
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Re: DATA SUFFICIENCY [#permalink] New post 18 Oct 2008, 21:29
Poots wrote:
A certain circular area has its center at point P and has a 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 x and point y is 9


Clearly E

1) does not suffice since distance between y and center is required ,infoi about x and p does not help INSUFFI
2)dist between x and y is irrelevannt since y x can be anywhere !!INSUFFI

1)and 2) together dont contribute since y can either outside or inside circle
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Re: DATA SUFFICIENCY [#permalink] New post 18 Oct 2008, 21:52
A is sufficient

B is not..

A:since distance between P and x is > 4 , so X,Y will never be in the circle..and thus Y will beout side of circlet

B: 2 poss. are there..
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Re: DATA SUFFICIENCY [#permalink] New post 19 Oct 2008, 15:51
The answer is c: both statements together are sufficient.

Does anyone know why?

Thanks.
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Re: DATA SUFFICIENCY [#permalink] New post 19 Oct 2008, 16:06
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Poots wrote:
A certain circular area has its center at point P and has a 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 x and point y is 9


The largest distance between two points in a circle is the diameter, which is 8.

1.) x lies outside of the circle. No information given for y. y can be in or out of the circle.
Insuff...

2.) y can be in or out of the circle.
Insuff...

Combined, since x is 0.5 unit outside of the circle and the maximum distance between two points is 8, y must lie outside of the circle.

Hence, C.
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Re: DATA SUFFICIENCY [#permalink] New post 19 Oct 2008, 22:17
C.

Think of PXY as a triangle. Since, PX = 4.5 and XY = 9, PY can be anywhere between (9-4.5) and (9+4.5) and this distance is greater than the radius of the circle. Hence, Y is outside the circle and sufficient to answer the question.
Re: DATA SUFFICIENCY   [#permalink] 19 Oct 2008, 22:17
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