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What is the no. of points a triangle can intersect a circle?

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Manager
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What is the no. of points a triangle can intersect a circle?  [#permalink]

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New post 01 Jun 2005, 17:18
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What is the no. of points a triangle can intersect a circle?


This is a OG question. I need to know why is touching same as intersecting. To me by intersection, we mean when one figure cuts thru another figure, while touching is not the same it (the circle) can just be a tangent to one of the sides of the triange.

So Ans will be 3 (2,4,6 points) for full intersection

Ans will be 6 (1,2,3,4,5,6 points) if touching is also included.

The OG is 6.

Anu thoughts!!!!!!!!!!!!!!1

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New post 01 Jun 2005, 21:24
I know what you mean, I had a similar question.

Merriam-Webster definition of 'to intersect' is
Main Entry: in·ter·sect
Pronunciation: "in-t&r-'sekt
Function: verb
Etymology: Latin intersectus, past participle of intersecare, from inter- + secare to cut -- more at SAW
transitive senses : to pierce or divide by passing through or across : CROSS
intransitive senses
1 : to meet and cross at a point
2 : to share a common area : OVERLAP

2 doesn't apply since a point has no area :)

so OG question is indeed misleading.
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New post 01 Jun 2005, 21:28
I do not understand the confusion - isn't the answer 6?

Can you give me the question number in OG?
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New post 01 Jun 2005, 21:39
Vithal wrote:
I do not understand the confusion - isn't the answer 6?
Can you give me the question number in OG?


in my understanding, the question is "in geomatry is intersection same as tangant"?
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New post 01 Jun 2005, 21:40
Last one in PS section, or somewhere on the last page of PS
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New post 01 Jun 2005, 21:43
HIMALAYA wrote:
Vithal wrote:
I do not understand the confusion - isn't the answer 6?
Can you give me the question number in OG?


in my understanding, the question is "in geomatry is intersection same as tangant"?


A geometry teacher would always say 'line touches the circle" when the line is a tangent. Intersecting the circle means crossing it.
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Re: Triangle intersecting a circle  [#permalink]

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New post 02 Jun 2005, 08:36
anirban16 wrote:
What is the no. of points a triangle can intersect a circle?


This is a OG question. I need to know why is touching same as intersecting. To me by intersection, we mean when one figure cuts thru another figure, while touching is not the same it (the circle) can just be a tangent to one of the sides of the triange.

So Ans will be 3 (2,4,6 points) for full intersection

Ans will be 6 (1,2,3,4,5,6 points) if touching is also included.

The OG is 6.

Anu thoughts!!!!!!!!!!!!!!1


I think the question meant the maximum no. of points a circle can intersect a circle (the no. of possible no. of points is of no consideration :roll: )

HMTG.
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New post 02 Jun 2005, 16:32
look at my drawing. Clearly 6 points of intersection.
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Re: Triangle intersecting a circle  [#permalink]

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New post 02 Jun 2005, 17:52
HowManyToGo wrote:
anirban16 wrote:
What is the no. of points a triangle can intersect a circle?


This is a OG question. I need to know why is touching same as intersecting. To me by intersection, we mean when one figure cuts thru another figure, while touching is not the same it (the circle) can just be a tangent to one of the sides of the triange.

So Ans will be 3 (2,4,6 points) for full intersection

Ans will be 6 (1,2,3,4,5,6 points) if touching is also included.

The OG is 6.

Anu thoughts!!!!!!!!!!!!!!1


I think the question meant the maximum no. of points a circle can intersect a circle (the no. of possible no. of points is of no consideration :roll: )

HMTG.


in OG in explanation they they show cases when a circle touches the triangle (3 intersections)

the question itself

441. Which of the following lists the number of points at which a circle can intersect a triangle?
A) 2 and 6 only
B) 2,4, and 6 only
C) 1,2,3, and 6 only
D) 1,2,3,4, and 6 only
E) 1,2,3,4,5, and 6

OA is E
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New post 02 Jun 2005, 22:23
If we go by the meaning of intersect as "meet at a point" then tangent would be a special case of interesection.
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