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# PS- Circle

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Senior Manager
Joined: 05 Jun 2008
Posts: 294

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01 Dec 2008, 08:46
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In the rectangular coordinate system, points (4, 0) and (– 4, 0) both lie on circle C. What is the maximum possible value of the radius of C ?
A. 2
B. 4
C. 8
D. 16
E. There is no finite maximum value.
Manager
Joined: 18 Nov 2008
Posts: 115

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01 Dec 2008, 09:30
We aren't given coordinates of the centre of this circle, so, line between two points (-4,0) and (4,0) is just a chord. IMO Radius can not be determined in this situation. Hence, the answer is E
Manager
Joined: 23 Nov 2008
Posts: 79

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01 Dec 2008, 10:39
I agree with E

Essentially, we are looking for (4,0), (-4,0) to make the smallest chord, or the angle the points make with the center to be the smallest angle. This can be anything.
Re: PS- Circle   [#permalink] 01 Dec 2008, 10:39
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