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Senior Manager
Joined: 25 Jun 2009
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06 Jul 2009, 05:36
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Q : Which of the following lists the number of points at which a circle can intersect a triangle?
a. 2 and 6
b. 2,4 and 6
c. 1,2,3 and 6
d. 1,2,3,4 and 6
e, 1,2,3,4,5 and 6

According to me it should be B but when I faced the same question in GMATprep test and the answer was e.

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Director
Joined: 03 Jun 2009
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Location: New Delhi
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06 Jul 2009, 05:49
Attachment:

solution.JPG [ 7.21 KiB | Viewed 1307 times ]

see the attached figure. The circle intersects with triangle at 6 points.

By shifting the circle (keeping triangle fix), you can make it to intersect at either 1, 2, 3, 4 or 5 different points.

Hence E
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GMAT Club team member
Joined: 16 Mar 2009
Posts: 115

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Location: Bologna, Italy

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06 Jul 2009, 07:29
Already has been discussed here circle-and-trianlge-78840.html
To Sum up: in geometry: intersection - point which two lines share in common.
(might not be what we commonly call intersect)
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Senior Manager
Joined: 25 Jun 2009
Posts: 298

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06 Jul 2009, 11:04
Already has been discussed here circle-and-trianlge-78840.html
To Sum up: in geometry: intersection - point which two lines share in common.
(might not be what we commonly call intersect)

Thanks, this is exactly what I wanted to clear whether they want us too include those points on which triangle is acting as a tangent to the circle..

Thanks.. !

Kudos [?]: 150 [0], given: 6

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