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# Do the two circles with centers X and Y touch each other externally?

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Math Expert
Joined: 02 Sep 2009
Posts: 58094
Do the two circles with centers X and Y touch each other externally?  [#permalink]

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03 Jul 2018, 11:06
00:00

Difficulty:

95% (hard)

Question Stats:

24% (01:35) correct 76% (01:16) wrong based on 51 sessions

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Do the two circles with centers X and Y touch each other externally?

(1) The distance between X and Y is equal to the diameter of the circle with center X.
(2) One circle is bigger than the other.

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Joined: 02 Aug 2009
Posts: 7839
Re: Do the two circles with centers X and Y touch each other externally?  [#permalink]

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04 Jul 2018, 00:43
2
Bunuel wrote:
Do the two circles with centers X and Y touch each other externally?

(1) The distance between X and Y is equal to the diameter of the circle with center X.
(2) One circle is bigger than the other.

(1) The distance between X and Y is equal to the diameter of the circle with center X.
so radius of X is half of the distance between x and y..
if radius of y = radius of x, the two circles will touch each other as shown by blue circles in att figure
otherwise ans is NO
We do not know about x
insuff

(2) One circle is bigger than the other
they could still meet if distance between centers = sum of radius
insuff

combined
they will not meet
sufficient

C
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Untitled.png [ 9.67 KiB | Viewed 512 times ]

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Re: Do the two circles with centers X and Y touch each other externally?  [#permalink]

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04 Jul 2018, 02:21
karthikkaushik91 wrote:
OA ??

Sent from my iPhone using GMAT Club Forum mobile app

OA is given under the spoiler in the original post.
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Re: Do the two circles with centers X and Y touch each other externally?  [#permalink]

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07 Aug 2019, 20:42
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: Do the two circles with centers X and Y touch each other externally?   [#permalink] 07 Aug 2019, 20:42
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