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In the rectangular coordinate system, points (4,0) and (-4, [#permalink]
 07 Aug 2006, 10:34
Question Stats:
100% (01:02) correct
0% (00:00) wrong based on 1 sessions
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
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(C) 8
Distance between (4,0) and (-4,0) is 8. Could be the maximum possible value.
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I think the answer should be 4 because the two points could be the end points of the diameter,
Am i write????
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Current Student
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Hi, First post here.
I think the answer is (E). I hope I am right.
There can be any number of circles with different diameters that have a chord of length 8 that falls on the circle. For example, a circle with diameter of 30 can have a chord of length 8 OR a circle with diameter of 100 can have a chord of length 8. If there is a circle with a diameter of 8 then the chord itseld is the diamter.
Last edited by nookway on 07 Aug 2006, 13:19, edited 1 time in total.
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Manager
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nookway wrote: Hi, First post here.
I think the answer is (E). I hope I am right.
There can be any number of circles with different diameters that have a cord of length 8 that falls on the circle. For example, a circle with diameter of 30 can have a chord of length 8 OR a circle with diameter of 100 can have a chord of length 8. If there is a circle with a diameter of 8 then the chord itseld is the diamter.
I am tempted to go with E here too.. there can be any number of values for the radius
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Senior Manager
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I think the answer is E here..
you can think of an arc joining 4 and -4 and the radius of that circle could much larger than any of the numbers given
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Manager
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Agree, it should be (E). You can draw a circle as big as you want and still make it go through two point (4,0) and (-4,0).
Through it would go contrary to GMAT's general rule of not making options with vague/indefinite wording to be correct answers. But this one appears to be the exception.
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Should be E.
If question asks minimum value then answer is 8.
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Will go with E.
Minimum value the diameter can have is when the points are the ends points of the diameter. Hence 8
for maximum ....
Line between points can be a chord. 8 can be whereever you want, hence maximum can be anything.
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