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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]

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New post 13 Oct 2010, 01:02
2
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A
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E

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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
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Re: prob from jumbo tests  [#permalink]

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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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If point x is inside a circle with center o and radius 2, is  [#permalink]

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New post 13 Dec 2019, 15:47
Bunuel wrote:
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

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

Answer: E.


Bunuel

Are the furthest two points in a circle, the two points that are on the opposite ends of the diameter ?

Or are there any two points within a circle that have a longer distance between them
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If point x is inside a circle with center o and radius 2, is   [#permalink] 13 Dec 2019, 15:47
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