GMAT Prep question

[anksm22]

OA E

[Brent@GMATPrepNow]

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

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@GMATPrepNow]

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:

Yep.
So, the correct answer must be E

Cheers,
Brent

[anksm22]

in this case touching and intersecting are consider the same?

[Brent@GMATPrepNow]

in this case touching and intersecting are consider the same?

Yes. To intersect is to share a common point.

Cheers,
Brent