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by Brent@GMATPrepNow » Sun Jul 19, 2015 3:59 pm
Which of the following lists the number of points at which a circle can intersect a triangle?

(a) 2 and 6 only
(b) 2, 4, and 6 only
(c) 1, 2, 3, and 6 only
(d) 1, 2, 3, 4, and 6 only
(e) 1, 2, 3, 4, 5, and 6

Image
Answer: E

The important takeaway here is that "intersect" does not necessarily mean "pass through"
So, a line that is tangent to a circle (touching the circle but not passing through it) can be said to intersect the circle. To intersect is to share a common point.

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by Brent@GMATPrepNow » Sun Jul 19, 2015 3:59 pm
Which of the following lists the number of points at which a circle can intersect a triangle?

(a) 2 and 6 only
(b) 2, 4, and 6 only
(c) 1, 2, 3, and 6 only
(d) 1, 2, 3, 4, and 6 only
(e) 1, 2, 3, 4, 5, and 6
Alternatively, we might recognize that only 1 answer choice (E) suggests that there can be 5 intersection points.
Let's check to see if we can get 5 intersection points:
Image
Yep.
So, the correct answer must be E

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by nikhilgmat31 » Wed Jul 29, 2015 4:34 am
Identify that triangle & circle intersects 5 points is very tough among 1,2,3,4,6 points.

What is source of this question.
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by Brent@GMATPrepNow » Wed Jul 29, 2015 5:31 am
nikhilgmat31 wrote:Identify that triangle & circle intersects 5 points is very tough among 1,2,3,4,6 points.

What is source of this question.
I'm pretty sure it's an official GMAT question
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by [email protected] » Wed Jul 29, 2015 9:48 am
Hi nikhilgmat31,

This question is floating around the 'pool' of questions in GMAC CAT 1.

For what it's worth, if you draw a handful of pictures, then you can prove all of the various options rather easily. If you can see how a triangle can intersect at 2 points and at 3 points, then you can 'combine' those two ideas to see how a triangle could intersect at 5 points.

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by nikhilgmat31 » Wed Jul 29, 2015 9:18 pm
Thanks Rich
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