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# What is the maximum possible radius of the circle C which has centre a

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What is the maximum possible radius of the circle C which has centre a  [#permalink]

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Updated on: 05 Jun 2017, 22:09
00:00

Difficulty:

75% (hard)

Question Stats:

36% (01:19) correct 64% (01:21) wrong based on 47 sessions

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What is the maximum possible radius of the circle C?

1) The circle passes through the points (5,0) and (-5,0)

2) The circle passes through the point (0,5)

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Originally posted by GMATinsight on 05 Jun 2017, 07:28.
Last edited by GMATinsight on 05 Jun 2017, 22:09, edited 1 time in total.
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Re: What is the maximum possible radius of the circle C which has centre a  [#permalink]

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05 Jun 2017, 13:30
1. If the circle passes through both (5,0) and (-5,0) and has its center at origin,
the diameter should be 10. Hence the maximum possible radius would be 5.
Clearly sufficient.
2. If the circle passes through (0,5) and has its origin at center, the radius would be 5.
Hence, sufficient(Option D)
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Re: What is the maximum possible radius of the circle C which has centre a  [#permalink]

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05 Jun 2017, 22:10
pushpitkc wrote:
1. If the circle passes through both (5,0) and (-5,0) and has its center at origin,
the diameter should be 10. Hence the maximum possible radius would be 5.
Clearly sufficient.
2. If the circle passes through (0,5) and has its origin at center, the radius would be 5.
Hence, sufficient(Option D)

Edited the question. Centre is not fixed now.
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Re: What is the maximum possible radius of the circle C which has centre a  [#permalink]

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21 Jun 2018, 12:03
1
You need atleast 3 different points to identify a unique circle. So C.
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Re: What is the maximum possible radius of the circle C which has centre a  [#permalink]

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21 Jun 2018, 12:11
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Three unique points are need for a circle. Therefore, combing both statements works. --> C
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Re: What is the maximum possible radius of the circle C which has centre a  [#permalink]

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07 Aug 2019, 20:10
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What is the maximum possible radius of the circle C which has centre a   [#permalink] 07 Aug 2019, 20:10