Remember that if a line is tangent to a circle, it intersects at exactly one point.
Thus, a triangle could have one side tangent to a circle, and this represents intersecting at a single point. This rules out answer choices A and B.
Answer choices C, D, and E all include 2, 3, and 6.
This means we need to see whether it can intersect at 4 or 5 points.
I'll try to attach a file that shows how these two can work...
Slide1.jpg [ 22.13 KB | Viewed 851 times ]
(If the file attachment doesn't work, then email me at help@veritasprep with "attn: Val" in the subject line, and I can email it directly to you. )