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Co-ord plane- official guide 13th ed pro solving qno 43

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by Divya Ann Chacko » Tue Dec 17, 2013 8:27 pm
In the figure above, the point on segment PQ that is twice as far from P(0,-1) as from Q(3,2) is
a) (3,1)
b) 2,1
c) 2,-1
d) 1.5,0.5
e) 1,0

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by theCodeToGMAT » Tue Dec 17, 2013 9:15 pm
Image is missing.
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by Divya Ann Chacko » Tue Dec 17, 2013 9:17 pm
How to add the images?
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by theCodeToGMAT » Tue Dec 17, 2013 9:20 pm
Divya Ann Chacko wrote:How to add the images?
Use the "Add Attachment" option.. "Edit" your question post and then add the image.
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by vipulgoyal » Tue Dec 17, 2013 10:43 pm
we can visulise at (x,y) graph, let the point be (x,y)

p is 3 (x) distance far fron Q , x = 2
p is 3 (y) distance far from Q from -1 to 2 so 2 distance up -1 to 0 and 0 to 1 so y = 1
(x,y) = [/spoiler](2,1)[spoiler][/spoiler]
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by GMATGuruNY » Wed Dec 18, 2013 2:29 am
Image
Divya Ann Chacko wrote:In the figure above, the point on segment PQ that is twice as far from P(0,-1) as from Q(3,2) is
a) (3,1)
b) 2,1
c) 2,-1
d) 1.5,0.5
e) 1,0
DRAW your own figure and plot the answer choices:
Image
Only B is both on PQ and farther from P than from Q.

The correct answer is B.

An alternate approach is to draw SIMILAR TRIANGLES.
For the DIAGONAL distance from P to be twice that from Q, the HORIZONTAL and VERTICAL distances from P must also be twice those from Q.
The result is the following figure:
Image
Adding 2 to both the x-coordinate and the y-coordinate of P, we get:
(0+2, -1+2)
(2,1).

The correct answer is B.
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