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

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Math Expert
Joined: 02 Sep 2009
Posts: 53709
Which of the following points, when plotted on the grid above, will be  [#permalink]

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18 Dec 2017, 21:43
00:00

Difficulty:

15% (low)

Question Stats:

82% (01:13) correct 18% (01:16) wrong based on 77 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)

Attachment:

2017-12-19_0837.png [ 8.09 KiB | Viewed 1058 times ]

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Re: Which of the following points, when plotted on the grid above, will be  [#permalink]

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19 Dec 2017, 00:51
1
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)

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

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Re: Which of the following points, when plotted on the grid above, will be  [#permalink]

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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]

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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)

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).
Re: Which of the following points, when plotted on the grid above, will be   [#permalink] 19 Dec 2017, 10:36
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