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Circle and Triangle

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Circle and Triangle

by aaggar7 » Sun Mar 31, 2013 12:11 am
Which of the following list 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
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by Anju@Gurome » Sun Mar 31, 2013 12:24 am
aaggar7 wrote:Which of the following list the number of points at which a circle can intersect a triangle.
Refer to the diagram below,
Image

The correct answer is E.
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by GMATGuruNY » Sun Mar 31, 2013 3:13 am
Which of the following lists the number of points at which a circle can intersect a triangle?

1. 2 and 6 only
2. 2, 4, and 6 only
3. 1, 2, 3, and 6 only
4. 1, 2, 3, 4, and 6 only
5. 1, 2, 3, 4, 5, and 6
Notice how the answer choices DIFFER.
Only E states that the circle and the triangle can intersect at 5 points.
If it's possible for there to be 5 intersections, A, B, C and D can be eliminated.

Image

Since 5 intersections are possible, eliminate A, B, C and D.

The correct answer is E.
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