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If, on a co-ordinate plane, point A has the coordinates

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If, on a co-ordinate plane, point A has the coordinates [#permalink]

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New post 01 Nov 2008, 10:06
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If, on a co-ordinate plane, point A has the coordinates (-3,4) , how far is the point A from point E

(1)Point E is on y-axis four units from the origin
(2) If point A were twice as far from point E, it would be the same distance from point E as point C is at coordinates (0,-2)

I am having tough time understanding what statement 2 means ...
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Re: DS : Distance between A and E [#permalink]

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New post 01 Nov 2008, 10:11
B

Stmt1:Could be(0,4) or (0,-4) - InSuff
Stmt2:Has to be (-3,-2) - Suff

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Re: DS : Distance between A and E [#permalink]

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New post 01 Nov 2008, 10:18
I think it is B
1 is insuff, because y can be + or -
2 statement is a little confusing, but as I understand it says that 2times distance from A to E is equal to distance from A to C, which can be easily calculated from the info given in statement 2, therefore B

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Re: DS : Distance between A and E [#permalink]

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New post 01 Nov 2008, 10:24
This is from a Kaplan Cat. OA is C

I am attaching the OE.
Attachments

OE.jpg
OE.jpg [ 21.36 KiB | Viewed 1144 times ]


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Re: DS : Distance between A and E [#permalink]

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New post 01 Nov 2008, 10:28
LiveStronger wrote:
B

Stmt1:Could be(0,4) or (0,-4) - InSuff
Stmt2:Has to be (-3,-2) - Suff


It can't be B
From stmt2: we get both(0,4) and another point on a line between A and C

Together: Common is (0,4) - Sufficient
Missed it :roll:

Last edited by LiveStronger on 01 Nov 2008, 11:40, edited 1 time in total.

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Re: DS : Distance between A and E [#permalink]

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New post 01 Nov 2008, 10:43
LiveStronger wrote:
LiveStronger wrote:
B

Stmt1:Could be(0,4) or (0,-4) - InSuff
Stmt2:Has to be (-3,-2) - Suff


It can't be B
From stmt2: we get both(-3,-2) and (0,4)

Together: Common is (0,4) - Sufficient
Missed it :roll:


how do you get the two points from stmt 2 ?? I did not even understand what stmt 2 is saying
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Re: DS : Distance between A and E [#permalink]

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New post 01 Nov 2008, 11:39
amitdgr wrote:
If, on a co-ordinate plane, point A has the coordinates (-3,4) , how far is the point A from point E

(1)Point E is on y-axis four units from the origin
(2) If point A were twice as far from point E, it would be the same distance from point E as point C is at coordinates (0,-2)

I am having tough time understanding what statement 2 means ...


This is what I understood:
twice the distance between A and E is euqal to distance between E and C
thinking about it, (-3,-2) is not even a solution. If we draw a line between (-3,4) and (0,-2), E could also be a point with distance from A and C in a ratio 1:2
Thats why we get 2 different solutions from stmt2, but(0,4) is common between stmt1 and stmt2

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Re: DS : Distance between A and E [#permalink]

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New post 01 Nov 2008, 13:47
Question is confusing.

If statement 2 means, 2AE = AC, then statement 2 is sufficient. However, if stmt2 means 2AE = EC, then the location of E is required to answer the question and hence C will be the answer.

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Re: DS : Distance between A and E   [#permalink] 01 Nov 2008, 13:47
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If, on a co-ordinate plane, point A has the coordinates

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