Problem Solving

How can the circle be intersected at 1,3,5 points

IMO, Tangents can be considered intersections. So if a circle just touches the triangle that would be 1 intersection. i guess that's the way to have odd numbered intersections.


Picture a circle intersecting the triangle's legs twice on each side while being tangent to the base. That makes it possible to have 5 intersections. E is the only choice with 5 intersections.

I feel that there are atleast 2 points at which a circle intersects a triangle. Hence options C,D and E are out. Between A and B, a circle can intersect 2 sides of the triangle or all 3 sides (i.e. 6 points on the triangle).

What is the correct answer? Is it A?

OA is E

Found a long discussion on the same...check the link below...this should help!

https://www.beatthegmat.com/question-on- ... .html#8401