circle in triangle ?

can any1 explain this?????????????????????????????? :roll:

Cramya will explain this. He has been hiding from Geometry questions and this time he will come back to put the nail on this questions head!

wht abt u logitech ??????????


Finally GMAT has found the ques that can nail u down ? ...But i dont think....come on

Is the answer E ?

1, 2, 3, 4, 5 and 6.

I have attached a document with the possibilities.

Please let us know the right answer. Any better approach ???

Sonu

Great diagrams!

Drawing it out is definitely the way to go on this problem.

Each vertex of the triangle can be outside, on the edge of or inside the circle, giving us our 6 possibilities.

If 1 vertex is on the edge and 2 vertices are inside, we get 1 point of intersection.

If 1 vertex is inside and 2 are outside, we can get 2 points of intersection.

If 1 vertex is on the edge and 2 vertices are outside (going through the circle), we can get 3 or 5 points of intersection.

If 2 vertices are on the edge and 1 is outside (going through the circle), we get 4 points of intersection.

If all 3 are outside (surrounding the circle), we can get 6 points of intersection.

Thanks Sonu, Stuart.........................
I am pasting the Sonu's diagram for ease.

Triangle , 3 sides each side can be touched MAX 2 times with a circle

3x2=6

Min = 1 point

1,2,3,4,5 and 6 are all possible.