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Source: — Problem Solving |

by Brent@GMATPrepNow » Sun Oct 05, 2014 7:43 am
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

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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.

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by Brent@GMATPrepNow » Sun Oct 05, 2014 7:49 am
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:
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Yep.
So, the correct answer must be E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by anksm22 » Sun Oct 05, 2014 7:51 am
in this case touching and intersecting are consider the same?
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by Brent@GMATPrepNow » Sun Oct 05, 2014 7:53 am
anksm22 wrote:in this case touching and intersecting are consider the same?
Yes. To intersect is to share a common point.

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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