circle in triangle ?

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circle in triangle ?

by vivek.kapoor83 » Tue Jan 06, 2009 6:43 am
pls solve
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Circle Intersection.jpg

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by vivek.kapoor83 » Tue Jan 06, 2009 8:42 am
can any1 explain this?????????????????????????????? :roll:

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by logitech » Tue Jan 06, 2009 9:10 am
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! B-)
LGTCH
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by vivek.kapoor83 » Tue Jan 06, 2009 10:02 am
wht abt u logitech ??????????


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

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by sonu_thekool » Tue Jan 06, 2009 10:38 am
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
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CircleAndTriangle.doc
Circle and Triangle
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by Stuart@KaplanGMAT » Tue Jan 06, 2009 12:16 pm
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.
Image

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by vivek.kapoor83 » Tue Jan 06, 2009 12:21 pm
Thanks Sonu, Stuart.........................
I am pasting the Sonu's diagram for ease.
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sol.jpg

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by logitech » Tue Jan 06, 2009 6:05 pm
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.
LGTCH
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