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Question on Circles!

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by Cybermusings » Sat Apr 14, 2007 1:22 am
Which one of the following lists the number of points at which a circle can intersect a triangle?

1) 2 and 6
2) 2,4 and 6
3) 1,2,3 and 6 only
4) 1,2,3,4 and 6 only
5) 1,2,3,4,5 and 6 only

What does this question imply...This one is from the mock test series on mba.com
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Re: Question on Circles!

by ajith » Sat Apr 14, 2007 3:12 am
Answer is 2

I think

Hope the attachment would help
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by RAGS » Sat Apr 14, 2007 3:33 am
The ans is E
since in addition to what ajit has shown we could have a triangle side tangent to circle, it could intersect with a segment on one side and tangent to the second side and the same be extended to the third side
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by ajith » Sat Apr 14, 2007 4:12 am
RAGS wrote:The ans is E
since in addition to what ajit has shown we could have a triangle side tangent to circle, it could intersect with a segment on one side and tangent to the second side and the same be extended to the third side
I am not quite sure whether a tangent intersects a circle, a debatable point !!!
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by gabriel » Sat Apr 14, 2007 7:02 am
ajith wrote:
RAGS wrote:The ans is E
since in addition to what ajit has shown we could have a triangle side tangent to circle, it could intersect with a segment on one side and tangent to the second side and the same be extended to the third side
I am not quite sure whether a tangent intersects a circle, a debatable point !!!
Pour your thoughts in!!!!

hmmm... me not sure about that one either.... just chk out this link https://www.mathwarehouse.com/geometry/c ... circle.php and remove your own conclusions
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by aim-wsc » Sat Apr 14, 2007 8:18 am
ajith wrote:
RAGS wrote:The ans is E
since in addition to what ajit has shown we could have a triangle side tangent to circle, it could intersect with a segment on one side and tangent to the second side and the same be extended to the third side
I am not quite sure whether a tangent intersects a circle, a debatable point !!!
Pour your thoughts in!!!!
well! there's some difference between "line intersects" and "line touches"

Tangent touches the circle and intersects its radius (not circle) at 90.

Answer should be B.
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by ajith » Sat Apr 14, 2007 9:03 am
I agree with Johny, a tangent does not intersect a circle.
:D :D :D

So the answer is B
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by rajesh_ctm » Sat Apr 14, 2007 9:24 am
What about this?
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by Cybermusings » Sat Apr 14, 2007 11:04 am
Well the OA guys is E....There is no explanation given in the mock test....Thanks ajith....that diagram clears a few things
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by ajith » Sat Apr 14, 2007 5:53 pm
rajesh_ctm wrote:What about this?
Agree there. I did not consider that option, I was talking about tangents which is never intersected.In this case, eventhough the circle intersects two lines, the point coincides.

Thanks to Rajesh for pointing this out.
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by RAGS » Sun Apr 15, 2007 6:41 am
I think intersection should mean atleast one point and not greater than one point
Also if a line is intersecting radius then it should also intersect the circle
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by aim-wsc » Sun Apr 15, 2007 7:45 am
all right. I checked the exact definition of tangent.
In geometry: line that intersects the circle only once.

so you guys are right there. ;)
and i was wrong. :(
(ref- britannica concise )
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