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In figure below P and T lie on line L. How many different

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In figure below P and T lie on line L. How many different [#permalink] New post 11 Nov 2009, 12:29
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Geometry Line problem.JPG [ 3.03 KiB | Viewed 2292 times ]
In figure below P and T lie on line L. How many different points on L are twice as for from point T as from point P?

(A) Infinite number
(B) 4
(C) 2
(D) 1
(E) None
[Reveal] Spoiler: OA

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Re: In figure below P and T lie on line L. How many different [#permalink] New post 11 Nov 2009, 13:18
2.
1-1/3 of PT
2-1/2 of PT at right of T.
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Re: In figure below P and T lie on line L. How many different [#permalink] New post 11 Nov 2009, 13:27
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1/3 of PT
and PT left to P
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Re: In figure below P and T lie on line L. How many different [#permalink] New post 11 Nov 2009, 18:56
2 points: 1 before P such that PX=PT and the 2nd point between P&T such that PX=2XT
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Re: In figure below P and T lie on line L. How many different [#permalink] New post 12 Nov 2009, 07:52
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Re: In figure below P and T lie on line L. How many different [#permalink] New post 03 Jan 2013, 20:40
Bunuel wrote:
In figure below P and T lie on line L. How many different points on L are twice as for from point T as from point P?

(A) Infinite number
(B) 4
(C) 2
(D) 1
(E) None


Let x = distance between P and T
Points of 2x distance from T will be T - 2x and T + 2x. Thus, 2.
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Re: In figure below P and T lie on line L. How many different [#permalink] New post 12 Jan 2013, 22:08
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I did not understand the question. Could someone explain me in detail?
Thanks
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Re: In figure below P and T lie on line L. How many different [#permalink] New post 12 Jan 2013, 23:26
2 Points.
First - left of T with distance equivalent to PT.
Second - between PT with distance PT/3 from P.
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Re: In figure below P and T lie on line L. How many different [#permalink] New post 24 Oct 2013, 10:24
Banuel, I didn't understand the question. Could you pls. visualize the solution on the line? Thanks.
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Re: In figure below P and T lie on line L. How many different [#permalink] New post 24 Oct 2013, 10:42
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Magdak wrote:
Banuel, I didn't understand the question. Could you pls. visualize the solution on the line? Thanks.


Consider two possible cases below:
Attachment:
Untitled.png
Untitled.png [ 1.84 KiB | Viewed 693 times ]

In both cases TX = 2*PX.

Hope it's clear.
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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.


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Re: In figure below P and T lie on line L. How many different   [#permalink] 24 Oct 2013, 10:42
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