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Re: Triangle

by Vemuri » Tue Jun 16, 2009 8:17 am
gmat740 wrote:Please explain
I am also interested in knowing how the odd number of intersections are possible.
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by ketkoag » Tue Jun 16, 2009 9:08 am
draw a circle that is tangent to one side and intersect 2 sides twice.
sorry, ignore this one.. :oops:
Last edited by ketkoag on Tue Jun 16, 2009 9:13 am, edited 1 time in total.
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by ketkoag » Tue Jun 16, 2009 9:08 am
draw a circle that is tangent to one side and intersect 2 sides twice.
u'll get all possible numbers.. 1, 2, 3, 4, 5, 6 all of them are possible.
lemme attach an image..
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by abhinav85 » Tue Jun 16, 2009 9:26 am
hey ketkoag

Can u mark the points in the picture where the traingle intersect the circle??

It seems 1 2 3 4 5 to me where is the 6th one??
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by lyp206 » Tue Jun 16, 2009 10:13 am
abhinav85 wrote:hey ketkoag

Can u mark the points in the picture where the traingle intersect the circle??

It seems 1 2 3 4 5 to me where is the 6th one??

If you have a triangle that's bigger than a circle and overlapping the circle then the triangle intersects the circle twice near each of its points.
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by tohellandback » Tue Jun 16, 2009 8:03 pm
IMO E) 1,2,3,4,5,6
1-when th one of the sides act as a tangent
2-when one of the sides act a a chord
3- when circle is inscribed in a triangle touching all the sides
4-when two sides of the triangle pass through the circle both intersecting at two points and third side lies outside the circle
5- when two sides pass through the circle and the third side is a tangent
6- when a small circle overlaps a bigger circle intersecting all the sides at three points
The powers of two are bloody impolite!!
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