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number of points at which a circle can intersect a triangle

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by Vemuri » Tue May 05, 2009 9:12 am
Which of the following lists the number of points at which a circle can intersect a triangle?

A. 2 & 6 only
B. 2, 4 & 6 only
C. 1, 2, 3 & 6 only
D. 1, 2, 3, 4 & 6 only
E. 1, 2, 3, 4, 5 & 6

OA is E
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Re: number of points at which a circle can intersect a trian

by El Cucu » Tue May 05, 2009 10:16 am
Vemuri wrote:Which of the following lists the number of points at which a circle can intersect a triangle?

A. 2 & 6 only
B. 2, 4 & 6 only
C. 1, 2, 3 & 6 only
D. 1, 2, 3, 4 & 6 only
E. 1, 2, 3, 4, 5 & 6

OA is E
Drawing the circle and the triangle you could easily find 6 points.
source?
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Re: number of points at which a circle can intersect a trian

by Vemuri » Tue May 05, 2009 10:24 am
El Cucu wrote: Drawing the circle and the triangle you could easily find 6 points.
source?
Source is GMAT Prep. I am able to find 2,4 & 6. How is it that 1,3 & 5 intersects are possible?
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Re: number of points at which a circle can intersect a trian

by El Cucu » Tue May 05, 2009 11:30 am
Vemuri wrote:
El Cucu wrote: Drawing the circle and the triangle you could easily find 6 points.
source?
Source is GMAT Prep. I am able to find 2,4 & 6. How is it that 1,3 & 5 intersects are possible?
Depends on whether you draw the triangle. First draw the circle and then the triangle over it. I you have 6 points then you can also have 5, 4,3,2,1.
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Re: number of points at which a circle can intersect a trian

by Stuart@KaplanGMAT » Tue May 05, 2009 11:36 am
Vemuri wrote:
El Cucu wrote: Drawing the circle and the triangle you could easily find 6 points.
source?
Source is GMAT Prep. I am able to find 2,4 & 6. How is it that 1,3 & 5 intersects are possible?
You can get odd numbers of points if one or more of the vertices of the triangle lie on the circumference of the circle.
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