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# In the rectangular coordinate system, points (4,0) and ( 4,

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Manager
Joined: 26 Mar 2008
Posts: 102
Schools: Tuck, Duke
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In the rectangular coordinate system, points (4,0) and ( 4, [#permalink]  21 Sep 2008, 13:37
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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
VP
Joined: 05 Jul 2008
Posts: 1433
Followers: 35

Kudos [?]: 254 [0], given: 1

Re: PS: Circle [#permalink]  21 Sep 2008, 21:34
arorag wrote:
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

I believe you meant (-4,0) and (4,0)

These points can either be such that they form the diameter of the circle or just form a chord.

Hence E.
Manager
Joined: 22 Sep 2008
Posts: 124
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Kudos [?]: 38 [0], given: 0

Re: PS: Circle [#permalink]  22 Sep 2008, 06:25
hey

Can anyone please exaplain why these number can't form Diameter or Chord?

Can't we have circle with diameter of 8 (-4 to 4)?

Thanks
* I think i have not understand question properly but help me to sort out this..
Director
Joined: 01 Jan 2008
Posts: 629
Followers: 3

Kudos [?]: 139 [0], given: 1

Re: PS: Circle [#permalink]  22 Sep 2008, 07:11
vr4indian wrote:
hey

Can anyone please exaplain why these number can't form Diameter or Chord?

Can't we have circle with diameter of 8 (-4 to 4)?

Thanks
* I think i have not understand question properly but help me to sort out this..

you can have a circle with diameter of 8. However, the question is asking you for the largest diameter. For any k (0,k) can be a center of a circle that goes through (-4,0) and (4,0) -> E is the answer.

Does it help?
Re: PS: Circle   [#permalink] 22 Sep 2008, 07:11
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