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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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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

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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.
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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
1
(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
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Re: Which of the following CANNOT have more than 2 points in common?  [#permalink]

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New post 01 Nov 2018, 06:41
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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


Dear Moderator ,
Found this PS question, in the DS section of Geometry, hope you will do the needful. Thank you.
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Re: Which of the following CANNOT have more than 2 points in common?  [#permalink]

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New post 01 Nov 2018, 06:43
stne wrote:
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


Dear Moderator ,
Found this PS question, in the DS section of Geometry, hope you will do the needful. Thank you.

_____________
Moved. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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Re: Which of the following CANNOT have more than 2 points in common? &nbs [#permalink] 01 Nov 2018, 06:43
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