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# Which of the following lists the number of points at which a

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Intern
Joined: 05 Oct 2007
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Which of the following lists the number of points at which a [#permalink]  03 Nov 2007, 23:05
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Which of the following lists the number of points at which a circle can intersect a triangle?
1. 2 & 6 only
2. 2,4 & 6 only
3. 1,2,3 & 6 only
4. 1,2,3,4 & 6 only
5. 1,2,3,4,5 & 6 only
Manager
Joined: 25 Nov 2006
Posts: 59
Followers: 2

Kudos [?]: 2 [0], given: 0

Quote:
Which of the following lists the number of points at which a circle can intersect a triangle?
1. 2 & 6 only
2. 2,4 & 6 only
3. 1,2,3 & 6 only
4. 1,2,3,4 & 6 only
5. 1,2,3,4,5 & 6 only

option 5 holds good......a circle can intersect in any of the combinations specified in the option
Intern
Joined: 16 Oct 2007
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Re: PS - Circle & Triangle [#permalink]  03 Nov 2007, 23:22
I think the answer is 4. I could come up with a figure with 5 intersection points.

rags wrote:
Which of the following lists the number of points at which a circle can intersect a triangle?
1. 2 & 6 only
2. 2,4 & 6 only
3. 1,2,3 & 6 only
4. 1,2,3,4 & 6 only
5. 1,2,3,4,5 & 6 only
Manager
Joined: 01 Nov 2007
Posts: 69
Followers: 1

Kudos [?]: 3 [0], given: 0

It is E.

A triangle can intersect a circle in 1,2,3,4,5 & 6 points.

Remember point tangent to a circle is considered to intersect the circle in 1 point.
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