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Which of the following CANNOT have more than 2 points in common?

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Which of the following CANNOT have more than 2 points in common? [#permalink]

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New post 22 Nov 2017, 08:01
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Question Stats:

83% (00:26) correct 17% (05:28) wrong based on 23 sessions

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Which of the following CANNOT have more than 2 points in common?

(A) a circle and a triangle
(B) a line and a circle
(C) a circle and a rectangle
(D) two triangles
(E) a line and a triangle
[Reveal] Spoiler: OA

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Kudos [?]: 135655 [0], given: 12705

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Re: Which of the following CANNOT have more than 2 points in common? [#permalink]

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New post 22 Nov 2017, 08:44
Bunuel wrote:
Which of the following CANNOT have more than 2 points in common?

(A) a circle and a triangle
(B) a line and a circle
(C) a circle and a rectangle
(D) two triangles
(E) a line and a triangle


A line and a Circle can have one or two point in common.

Kudos [?]: 17 [0], given: 333

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Re: Which of the following CANNOT have more than 2 points in common? [#permalink]

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New post 22 Nov 2017, 09:34
(B) a line and a circle
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Re: Which of the following CANNOT have more than 2 points in common? [#permalink]

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New post 22 Nov 2017, 10:04
(A) All three vertices of a triangle could lie on a circle (inscribed triangle).
(C) All four vertices of a rectangle could lie on a circle (inscribed rectangle).
(D) Two triangles could intersect like a star (so more than two intersection points)
(E) A line could be the same line as one side of the triangle and thus this line and triangle could intersect in infinite points.

But in case of (B) A line and a circle could never intersect in more than two points. If its a secant, it can cut circle in two points only, or it could be a tangent and touch the circle only at one point. Of course, there could be 0 points of intersection also.

Hence B answer

Kudos [?]: 185 [0], given: 289

Re: Which of the following CANNOT have more than 2 points in common?   [#permalink] 22 Nov 2017, 10:04
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Which of the following CANNOT have more than 2 points in common?

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