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If point x is inside a circle with center o and radius 2, is

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If point x is inside a circle with center o and radius 2, is [#permalink] New post 13 Oct 2010, 01:02
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If point x is inside a circle with center o and radius 2, is point y inside the same circle?

(1) OX =1
(2) XY = 2.5
[Reveal] Spoiler: OA
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Re: prob from jumbo tests [#permalink] New post 13 Oct 2010, 01:47
vanidhar wrote:
If point x is inside a circle with center o and radius 2, is point y inside the same circle?

1) OX =1
2) XY = 2.5


(1) Insufficient. No information about Y
(2) Insufficient. Y could be inside or outside, eg if X is on the centre, then Y has to be outside. But X and Y could also be two points on a diameter such that both are inside with XY=2.5

(1+2) Insufficient.
Imagine point Y lying radially outward on the extension of segment OX, it would then lie outside the circle since XY=2.5
But if X & Y are on opposite sides of the centre on a diameter, being 1 and 1.5 away from centre, then both conditions again satisfied but Y is inside the circle

Answer is (e)
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Re: prob from jumbo tests [#permalink] New post 13 Oct 2010, 01:47
Expert's post
vanidhar wrote:
If point x is inside a circle with center o and radius 2, is point y inside the same circle?

1) OX =1
2) XY = 2.5


Best way to solve this question would be to make a diagram:
Attachment:
Circle.PNG
Circle.PNG [ 25.83 KiB | Viewed 2483 times ]

You can see that point Y can be outside the circle (Y1) as well as inside the circle (Y2).

Answer: E.
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Re: If point x is inside a circle with center o and radius 2, is [#permalink] New post 18 Nov 2014, 06:49
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Re: If point x is inside a circle with center o and radius 2, is   [#permalink] 18 Nov 2014, 06:49
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