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

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Senior Manager
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In figure P and T lie on line L . How many different points [#permalink]

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22 Aug 2006, 22:43
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In figure 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) 6
B) 4
C) 2
D) 1
E) None
Attachments

Geometry Line problem.JPG [ 3.03 KiB | Viewed 1594 times ]

Geometry Line problem.JPG [ 3.03 KiB | Viewed 1566 times ]

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CEO
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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22 Aug 2006, 23:37
Whats the length of line? Is figure drawn to scale? Where T and P are located??
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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Senior Manager
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23 Aug 2006, 07:24
ps_dahiya wrote:
Whats the length of line? Is figure drawn to scale? Where T and P are located??

Not drawn to scale. Also, ps_dahiya you do not need any of the other information to answer this question.

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Senior Manager
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23 Aug 2006, 08:28
D 1

A point to the left of P at the same distance as PT will be the only point
that will be twice the distance from T as from P

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Intern
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25 Aug 2006, 08:53
i seriously did not get the question.....
Can anyone explain???

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Manager
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25 Aug 2006, 08:54
gmatornot wrote:
OA is C

I also feel it is D.

Can you explain why it is C?

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25 Aug 2006, 08:58
I Agree C

Could be between T and P (two thirds the distance to P from T)
Or to the right of P, double the distance of P&T from P

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Senior Manager
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25 Aug 2006, 09:45
agsfaltex wrote:
I Agree C

Could be between T and P (two thirds the distance to P from T)
Or to the right of P, double the distance of P&T from P

Exactly.... the question is asking how many points z exists
such that

|z-T| = 2|z-P|

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Intern
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25 Aug 2006, 11:09
The answer is (C). Have a look at the attachment. In both cases, x is twice as far from T as it is from P.
Attachments

P and T.JPG [ 6.66 KiB | Viewed 1536 times ]

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VP
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25 Aug 2006, 11:21
C) 2

Let point be X.

One point between P & T such that TX = 2PX

Another point beyond P on the left such that

TX = 2PX or PT= PX

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25 Aug 2006, 11:21
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