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In the coordinate plane above, point C is not displ

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In the coordinate plane above, point C is not displ [#permalink] New post 02 Aug 2017, 08:12
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52% (01:42) correct 47% (01:15) wrong based on 23 sessions


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In the coordinate plane above, point C is not displayed. If the length of line seg­ment BC is twice the length of line segment AB, which of the following could not be the coordinates of point C?

(A) (-5,-2)

(B) (9, 12)

(C) (10, 11)

(D) (11, 10)

(E) (13, 4)
[Reveal] Spoiler: OA

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Re: In the coordinate plane above, point C is not displ [#permalink] New post 19 Sep 2017, 07:48
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Since the AB segment has one extreme in the origin (0,0), its length can be measures as \(sqrt(3^2+4^2)=sqrt(25)=5\). The segment BC = 2AB is thus 10 long. Then, given the formula for the distance between two points we have to look for the couplet whose distance from B is different from 10. Since choice C implies a distance of \(4sqrt(6)<10\), this is the answer!
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Re: In the coordinate plane above, point C is not displ [#permalink] New post 18 Sep 2018, 14:10
In order to solve this, find AB= 5, I.E BC= 10
BC^2=100
Now using backsolving, see which coordinates do not give 100 as the squared difference of B and C. The answer is C.
Re: In the coordinate plane above, point C is not displ   [#permalink] 18 Sep 2018, 14:10
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In the coordinate plane above, point C is not displ

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