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How can a trianlge be intersected by circle at 1,3,5 points

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by jrbrown2 » Wed Nov 14, 2007 9:43 am
IMO, Tangents can be considered intersections. So if a circle just touches the triangle that would be 1 intersection. i guess that's the way to have odd numbered intersections.


Picture a circle intersecting the triangle's legs twice on each side while being tangent to the base. That makes it possible to have 5 intersections. E is the only choice with 5 intersections.
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by aninditasivaram2406 » Wed Nov 14, 2007 10:23 am
I feel that there are atleast 2 points at which a circle intersects a triangle. Hence options C,D and E are out. Between A and B, a circle can intersect 2 sides of the triangle or all 3 sides (i.e. 6 points on the triangle).

What is the correct answer? Is it A?
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by gmatrant » Wed Nov 14, 2007 8:12 pm
OA is E
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by aninditasivaram2406 » Wed Nov 14, 2007 8:55 pm
Found a long discussion on the same...check the link below...this should help!

https://www.beatthegmat.com/question-on- ... .html#8401
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