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Which of the following points, when plotted on the grid above, will be

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Bunuel
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Which of the following points, when plotted on the grid above, will be [#permalink] New post   18 Dec 2017, 21:43
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78% (01:21) correct 22% (01:36) wrong based on 104 sessions
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Which of the following points, when plotted on the grid above, will be twice as far from P (2,3) as from Q (1,2)?

(A) (0,1)
(B) (0,3)
(C) (1,3)
(D) (3,4)
(E) (3,5)

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2017-12-19_0837.png
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A
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Re: Which of the following points, when plotted on the grid above, will be [#permalink] New post   19 Dec 2017, 00:51
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Bunuel wrote:

Which of the following points, when plotted on the grid above, will be twice as far from P (2,3) as from Q (1,2)?

(A) (0,1)
(B) (0,3)
(C) (1,3)
(D) (3,4)
(E) (3,5)

Show Spoiler
Attachment:
2017-12-19_0837.png


RECOMMENDED METHOD:

Plot the point and eliminate a few options


ALTERNATE METHOD:

Fid the distance of every option with points P and Q and check which points satisfies the given condition.


By plotting I see that first option (0,1) is at a distance equal to one diagonal of small squares from Q and a distance equal to Two diagonal of small squares from P hence correct answer

Answer: option A
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Re: Which of the following points, when plotted on the grid above, will be [#permalink] New post   19 Dec 2017, 05:32
Straight A.
Used distance formula.
root((x2-x1)^2 + (y2-y1)^2)
Let the point be O.
=> OP=root((4+4))=root8=2root2
=>OQ=root(1+1)=root2.
=>OP=2OQ.
No need to go to other options.
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Re: Which of the following points, when plotted on the grid above, will be [#permalink] New post   19 Dec 2017, 10:36
Bunuel wrote:

Which of the following points, when plotted on the grid above, will be twice as far from P (2,3) as from Q (1,2)?

(A) (0,1)
(B) (0,3)
(C) (1,3)
(D) (3,4)
(E) (3,5)

Show Spoiler
Attachment:
2017-12-19_0837.png


Question: find the point that is 1 unit from Q and 2 units from P.

The only answer that works is (A).
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Re: Which of the following points, when plotted on the grid above, will be [#permalink]
19 Dec 2017, 10:36
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